tag:blogger.com,1999:blog-81999364057835407092024-02-18T21:00:20.857-05:00Rink StatsDigging deeper into NHL data and statisticsAnonymoushttp://www.blogger.com/profile/06654463214049859090noreply@blogger.comBlogger26125tag:blogger.com,1999:blog-8199936405783540709.post-76601507957743041342014-07-24T16:50:00.000-04:002014-07-24T16:50:01.216-04:00I've moved!Rink Stats has moved! Check out <a href="http://www.rinkstats.com">www.rinkstats.com</a> to see all my old posts, as well as any new content.Anonymoushttp://www.blogger.com/profile/06654463214049859090noreply@blogger.com0tag:blogger.com,1999:blog-8199936405783540709.post-11279473579104373532014-05-28T16:15:00.002-04:002014-07-30T23:30:21.392-04:00Corsi and Fenwick suck, or why we should be trying to do better<a href="http://rinkstats.com/2014/05/corsi-and-fenwick-suck-or-why-we-should">Check out this post on the new version of Rink Stats.</a>
I think Corsi sucks.<br />
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I think Fenwick sucks.<br />
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I think they suck, not because I'm an old-school, Brian Burke-ian stats hater. I think they suck because <b>when it comes to "advanced" hockey stats, the formula <i>shots + blocks + misses = corsi</i> is lazy and oversimplistic</b>. I think they suck because (at best) they're weak proxies for what we believe is important in a hockey game (puck possession). I think they suck because I know we can do better.<br />
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Mostly, I think they suck because they're a constant reminder of the fact that there's so little investment in hockey analytics by teams and by the media. Don't get me wrong, there's fantastic work being done by lots of people on the blogosphere, but <a href="http://www.theglobeandmail.com/sports/hockey/stubborn-nhl-takes-tech-step-forward/article18595761/?cmpid=rss1">until NHL invests in player tracking technology</a> (and hopefully makes it publicly available) we're going to be stuck using weak proxies like Fenwick and Corsi to measure possession.<br />
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In this post I don't intend to bring you to my side. You probably clicked on this post precisely because you know what Fenwick and Corsi are and find them valuable. I agree with you on that. They're infinitely better than plus/minus and other run-of-the-mill stats. But until we get player-tracking data and other more sophisticated stats, I think it's important that we understand how to properly use Corsi and Fenwick.<br />
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<b>The point of this post is to convince you that Corsi and Fenwick don't do a particularly good job of predicting who will win hockey games, and they aren't any better at this task than the traditional shots-on-goal statistic.</b> I also hope to build our understanding of the types of questions that Corsi and Fenwick can answer and when it's appropriate to use them to build narratives about games. Right now I'm mostly concerned with team-Corsi and team-Fenwick, not individual player Corsi/Fenwick, but in the future I'll hopefully dive into the value of C/F on assessing player performance.<br />
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<h2 style="text-align: center;">
Corsi, Fenwick, shots, and goals</h2>
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This post builds on my previous blog post, <a href="http://rinkstats.blogspot.com/2013/12/why-popular-advanced-stats-are-bad-at.html">Why popular advanced stats are bad at predicting who wins</a>. In that article, I show that when the score is tied at some point in the game, the team that has a higher Corsi or Fenwick for the rest of the game is more likely to lose than win. Many rightly pointed out that this doesn't fully account for scoring effects, although that should be less of a problem when I look games that are tied with just a couple minutes remaining.<br />
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What I'm going to do in this post is evaluate how well previous shot attempts (rather than future, as before) predict the team who wins. To analyze the predictive power of Corsi and Fenwick (C/F), I'm using the play-by-play data from every NHL regular season game from 2005-2006 through 2013-2014. This gives us data from over 10,000 games to play with.<br />
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The quantity that I'm going to consider throughout the article is how well stats like C/F correlate with winning the hockey game. <b>Specifically I'm answering the question, what percentage of teams that lead in Corsi/Fenwick/shots-on-goal/goals at each second of regulation win the game?</b><br />
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Quick crash course for anybody not familiar... Shots-on-goal (SOG) are shots that either go into the net or are saved by the goaltender. Fenwick for a team is equal to SOG plus shots that go wide or high are aren't defended by the goalie. Corsi equals Fenwick plus shots that are blocked by a defender.Usually we're interested in either Corsi/Fenwick differential (team A's C/F minus team B's C/F) or Corsi/Fenwick percent (team A's C/F divided by team B's C/F).<br />
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgUVv5rEekIVVjoGNTw1HHTH5F6Fz_xXvIhCZau-7rLxMIZy_xeCr1-7M0OrXXXfK4Hi5PJJOAJf-S-oy9oLZlufxhs2mp6u7cz_fXWn70cd_O3OcLa3ZzSksf9G3bSGUuWRBRy8uM4isc/s1600/all.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgUVv5rEekIVVjoGNTw1HHTH5F6Fz_xXvIhCZau-7rLxMIZy_xeCr1-7M0OrXXXfK4Hi5PJJOAJf-S-oy9oLZlufxhs2mp6u7cz_fXWn70cd_O3OcLa3ZzSksf9G3bSGUuWRBRy8uM4isc/s1600/all.png" height="400" width="800" /></a></div>
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The graph above shows the winning percentage for the team that's ahead in each of these four statistics at each of the 3,600 seconds of regulation. In other words, the solid green line is the percentage of teams with a lead, at that point in the game, who end up winning the game. Yellow is the team with more shots, and red and blue are the team leading Corsi and Fenwick, respectively. The team "leading" in Corsi or Fenwick is the one with a higher number of C/F events or the one with a Corsi% or Fenwick% greater than 50%. The shaded bands around each of the four lines are 95% confidence intervals.<br />
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As you can see, <b>all three shooting statistics are drastically outperformed by the score differential, in terms of how well they predict who will win the game</b>. What this tells us is that at any given point in the game, if you're told which team is leading in the score and in Corsi or Fenwick and you're asked to bet who will in the game, you'll win that bet between 15 or 50 percentage points more often if you pick the team leading the score.<br />
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This seems obvious. Clearly how many shots you attempt is much less important than the number of shots that hit the back of the net. Also, most hockey stats folks will notice that I've included special teams shots and shots that occur when the game isn't close. I'll account for these two things now.<br />
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<h2 style="text-align: center;">
Even strength C/F</h2>
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEizO2vRSYGHPeuSGjJkMxzgVH_h7Q-zfhyHgQijeJYIl52nSwNm48bnkdKkwc7LwofhZl2PW7wbmtd8R-I7S4iFjtS3_hVEsYJS8GcsRpeBl3fFXKZ9Svzoim2TRHaWL1NsvWNay-GvT0Q/s1600/even.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEizO2vRSYGHPeuSGjJkMxzgVH_h7Q-zfhyHgQijeJYIl52nSwNm48bnkdKkwc7LwofhZl2PW7wbmtd8R-I7S4iFjtS3_hVEsYJS8GcsRpeBl3fFXKZ9Svzoim2TRHaWL1NsvWNay-GvT0Q/s1600/even.png" height="400" width="800" /></a></div>
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The graph above is the same as the one before, except I've only kept events that occurred during a 5-on-5 when I calculated Corsi, Fenwick, and shots. You can see that this graph looks extremely similar to the first one. It's tough to see, but Corsi and Fenwick actually have slighly worse predictive power when you restrict the analysis to 5-on-5, compared to when you don't. This makes a lot of sense, since a teams with more powerplay opportunities is likely to have a higher C/F percent or differential, and they're also likely to get more powerplay goals and thus more likely to win the game.<br />
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What's interesting to note is the upsidedown U shape to the red, blue, and yellow curves. The fact that these curves begin to diminish in predictive power is direct evidence of the importance of scoring effects on these statistics. The downturn in the curves seems to begin around the beginning of the 3rd period. This is when a team trailing on the scoreboard will start throwing more pucks at the net in hopes of getting a lucky bounce.<br />
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C/F-close</h2>
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To account for this fact, hockey analytics folks use the Corsi-close and Fenwick-close statistics. The intuition behind them is that we can mitigate the scoring effect by only looking at shot attempts that occur when the score is close. So what is a "close" score? There doesn't seem to be a consensus answer to this, and different websites use different score thresholds to define close. Usually, though, close is either within 2 goals, 1 goal, or tied. I'll consider each of these tresholds.<br />
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The two graphs above show the predictive power of Corsi and Fenwick when the score is within two goals and within one. In both cases, <b>the predictive power of the statistics has improved from where it was before accounting for the score, but C/F are still being strongly outperformed by the actual score.</b><br />
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<b>It's also interesting to note than in both of these graphs, as well as the earlier ones, the shooting stat with the highest predictive power of winning is shots on goal. </b>This is partly because SOG includes goals, which determines who wins the game. <b>But this trend of SOG outperforming Corsi and Fenwick persists even when we look at only the SOG that were not goals.</b><br />
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<b>Unfortunately score effects are still very evident in these C/F-close statistics, which were meant to account for them.</b> When the score is within 2 goals, you begin to see the downward trend in the predictive power of C/F about 5 minutes into the third period. When the score is within one goal, the downward slide doesn't begin until there's 5 minutes left in regulation.<br />
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In each of the graphs above, the stat that's most informative is the actual score differential. While the Corsi-close and Fenwick-close leaders win the game less than 60% of the time, the team with a 1 or 2 goal lead wins at least 65% of the time. But what happens when the score is tied, and you don't have this luxury of picking the team that's already ahead?<br />
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<h2 style="text-align: center;">
C/F-tied</h2>
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgTXZDXJItwK0ipTVhVNBNljGqL78Y0q4bZFMMppbVpaHX2RwKM57cd_zAUnmyQLSMqgBrCLjhJSnIm8MUIzZ10ev9fRz59vaqDaebOzTF2PiMjMRJQ-cemkzPIGxOKadj8wc1nQncwIg0/s1600/even0.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgTXZDXJItwK0ipTVhVNBNljGqL78Y0q4bZFMMppbVpaHX2RwKM57cd_zAUnmyQLSMqgBrCLjhJSnIm8MUIzZ10ev9fRz59vaqDaebOzTF2PiMjMRJQ-cemkzPIGxOKadj8wc1nQncwIg0/s1600/even0.png" height="400" width="800" /></a></div>
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The graph above (as well as the zoomed-in version) shows the predictive power of full-strength Corsi, Fenwick, and shots-on-goal that occur during tied games. We can clearly see that the upsidedown U shape, characteristic of scoring effects, has disappeared in this graph. All three of these statistics get better in their predictive power as the game goes on.<br />
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In games that are tied at the first intermission, the team leading in Corsi-tied, 5-on-5 wins the game 56.43% of the time (plus or minus 1.00%). The team leading Fenwick-tied, 5-on-5 wins 57.13% (p/m 1.00%). The team with more shots on goal wins 57.28% (p/m 1.02%).<br />
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In games tied at the second intermission, the team leading in Corsi wins 59.03% of games (p/m 0.99%). The team leading Fenwick wins 59.31% of the time (p/m 0.998). And the team leading in SOG wins 59.66% of those tied games (1.00%).<br />
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<b>What should be most concerning to Corsi and Fenwick lovers is that neither statistic has better predictive power than shots-on-goal differential. In fact as the game goes on, SOG actually seems to get better at predicting winners than C/F, although it's still within their confidence intervals.</b><br />
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<h2 style="text-align: center;">
Takeaways</h2>
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So what does all this tell us about the value of Corsi and Fenwick in determining which team is likely to win a game? First, <b>in games that are not tied, shooting and possession statistics have little value when compared to actually looking at the score. In games that are tied, using C/F-tied to predict the winner will do better than a 50-50 coin flip, but your odds of a correct prediction aren't overwhelming (about 60%).</b><br />
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<b>Also important is the fact that score effects persist in C/F-close statistics, when "close" is defined as anything except a tied game. This suggests that the only version of these statistics with enough predictive power to justify being used is Corsi-tied or Fenwick-tied, although both are outperformed by shots-on-goal-tied.</b><br />
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Despite their drawbacks, though, Corsi and Fenwick do still have value. When you look at the graph of each team's Corsi or Fenwick throughout a game, you can identify time periods where teams are taking lots of shots or very few.<br />
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Where you have to be careful is in drawing too many conclusions about what these droughts mean. A team that's going through a shot drought might be working the clock and maintaining good possession, just not taking shots. Or they could be stuck in their defensive zone for long stretches, without puck possession.<br />
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This gets to what should be the broader takeaway from this article. <b>Given that Corsi and Fenwick don't have much more predictive power than SOG, we have to ask what value they're actually adding. In a theoretical sense, Corsi and Fenwick are better than SOG since they serve as a proxy measure of how much time each team had the puck.</b><br />
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<b>But when the NHL implements player and puck tracking technology into their arenas, as has been rumored, it will no longer be necessary to use Corsi or Fenwick as proxy measures of possession. Assuming the data become publicly available, we'll be able to directly calculate the amount of time each team had the puck in their zone, or how much time they possessed the puck.</b><br />
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Clearly, I haven't discussed the value of Corsi and Fenwick as player-level statistics. That's a next step, although I suspect that player-tracking technology will open up new doors to great new metrics that render Corsi and Fenwick obsolete. For now though, my intuition is that Corsi and Fenwick will outperform SOG when evaluating players. This is partly because the number of SOG is necessarily smaller than Corsi or Fenwick and thus SOG-differential has less variability between players. Unless missed and blocked shots are complete statistical noise, we should be able to leverage the added variability in Corsi or Fenwick to evaluate players. But, again, that's next step.Anonymoushttp://www.blogger.com/profile/06654463214049859090noreply@blogger.com2tag:blogger.com,1999:blog-8199936405783540709.post-34322768168111455742014-04-14T00:37:00.001-04:002014-07-30T23:30:17.670-04:002013/2014 win probabilities - Central Division<a href="http://rinkstats.com/2014/04/win-probs-1314">Check out this post on the new version of Rink Stats.</a>
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Below are the videos which show the win probability graphs for all 2013/2014 games for the teams in the Central Division. To learn more about the win probability metric, <a href="http://rinkstats.blogspot.com/2014/03/win-probabilities-metric-10.html">check out my post here</a>. The folder with the individual game graphs for every team is available <a href="http://dx.doi.org/10.7910/DVN/25502">here</a>.</div>
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<b>Chicago Blackhawks</b></div>
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<b>Minnesota Wild</b></div>
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<b>Nashville Predators</b></div>
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<b>St. Louis Blues</b></div>
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<b>Winnipeg Jets</b></div>
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<br /></div>Anonymoushttp://www.blogger.com/profile/06654463214049859090noreply@blogger.com0tag:blogger.com,1999:blog-8199936405783540709.post-52050916889916573042014-04-14T00:37:00.000-04:002014-07-30T23:30:13.454-04:002013/2014 win probabilities - Pacific Division<a href="http://rinkstats.com/2014/04/win-probs-1314">Check out this post on the new version of Rink Stats.</a>
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Below are the videos which show the win probability graphs for all 2013/2014 games for the teams in the Pacific Division. To learn more about the win probability metric, <a href="http://rinkstats.blogspot.com/2014/03/win-probabilities-metric-10.html">check out my post here</a>. The folder with the individual game graphs for every team is available <a href="http://dx.doi.org/10.7910/DVN/25502">here</a>.</div>
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<b>Anaheim Ducks</b></div>
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<br /></div>Anonymoushttp://www.blogger.com/profile/06654463214049859090noreply@blogger.com0tag:blogger.com,1999:blog-8199936405783540709.post-62037721035365548882014-04-14T00:10:00.000-04:002014-07-30T23:30:03.960-04:002013/2014 win probabilities - Metropolitan Division<a href="http://rinkstats.com/2014/04/win-probs-1314">Check out this post on the new version of Rink Stats.</a>
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Below are the videos which show the win probability graphs for all 2013/2014 games for the teams in the Metropolitan Division. To learn more about the win probability metric, <a href="http://rinkstats.blogspot.com/2014/03/win-probabilities-metric-10.html">check out my post here</a>. The folder with the individual game graphs for every team is available <a href="http://dx.doi.org/10.7910/DVN/25502">here</a>.</div>
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<br /></div>Anonymoushttp://www.blogger.com/profile/06654463214049859090noreply@blogger.com0tag:blogger.com,1999:blog-8199936405783540709.post-42231330916417488282014-04-13T16:21:00.006-04:002014-07-30T23:30:07.106-04:002013/2014 win probabilities - Atlantic Division<a href="http://rinkstats.com/2014/04/win-probs-1314">Check out this post on the new version of Rink Stats.</a>
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Below are the videos which show the win probability graphs for all 2013/2014 games for the teams in the Atlantic Division. To learn more about the win probability metric, <a href="http://rinkstats.blogspot.com/2014/03/win-probabilities-metric-10.html">check out my post here</a>. The folder with the individual game graphs for every team is available <a href="http://dx.doi.org/10.7910/DVN/25502">here</a>.</div>
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<br /></div>Anonymoushttp://www.blogger.com/profile/06654463214049859090noreply@blogger.com0tag:blogger.com,1999:blog-8199936405783540709.post-36557778983890060182014-04-13T15:29:00.002-04:002014-07-30T23:29:13.360-04:00How much smarter are college basketball experts than the rest of us?<a href="http://rinkstats.com/2014/04/how-much-expertise-do-college">Check out this post on the new version of Rink Stats.</a>
I wrote <a href="http://regressing.deadspin.com/11-million-brackets-vs-espn-cbs-and-fox-experts-who-1561354312">an article this week for Deadspin</a> looking at how much better college basketball "experts" did at predicting the NCAA tournament this year than non-experts. I used the same 11 million brackets from ESPN.com's Tournament Challenge as I used for <a href="http://rinkstats.blogspot.com/2014/04/odds-of-perfect-ncaa-bracket-this-year.html">the earlier article in the Wall Street Journal</a>. Perhaps unsurprisingly, the experts didn't do all that much better than the non-experts.<br />
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<span style="background-color: white; color: #222222; font-family: Georgia, serif; font-size: 15px; line-height: 24px;">"Generally the experts' brackets were slightly better than the non-expert ones, although the evidence isn't especially overwhelming. The analysis suggests that next year you'll have just as good a chance of winning your office pool if you make your own picks as if you follow the experts."</span></blockquote>
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<a href="http://dx.doi.org/10.7910/DVN/25444">I've also made the data available here.</a><br />
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<a href="http://i.kinja-img.com/gawker-media/image/upload/s--PLR1wwhv--/s33yj1vrb8bx7dtfyenw.png" imageanchor="1" style="clear: left; float: left; margin-bottom: 1em; margin-right: 1em; text-align: center;"><img border="0" src="http://i.kinja-img.com/gawker-media/image/upload/s--PLR1wwhv--/s33yj1vrb8bx7dtfyenw.png" /></a></div>Anonymoushttp://www.blogger.com/profile/06654463214049859090noreply@blogger.com0tag:blogger.com,1999:blog-8199936405783540709.post-87271401150552718882014-04-08T10:26:00.002-04:002014-07-30T23:29:01.527-04:00Odds of a perfect NCAA bracket this year<a href="http://rinkstats.com/2014/04/odds-of-perfect-ncaa-bracket-this-year">Check out this post on the new version of Rink Stats.</a>
Check out <a href="http://online.wsj.com/news/articles/SB10001424052702304819004579485513570472746?mg=reno64-wsj&url=http%3A%2F%2Fonline.wsj.com%2Farticle%2FSB10001424052702304819004579485513570472746.html">my new, non-hockey, article </a>in Monday's Wall Street Journal. I find that, this year, there was a 1 in 1.47 quadrillion chance of picking a perfect NCAA March Madness bracket.<br />
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<img src="http://si.wsj.net/public/resources/images/BN-CG095_COUNT0_G_20140406213112.jpg" />Anonymoushttp://www.blogger.com/profile/06654463214049859090noreply@blogger.com0tag:blogger.com,1999:blog-8199936405783540709.post-73667615370248005942014-03-25T11:23:00.000-04:002014-07-30T23:28:02.183-04:00A stats-driven power ranking<a href="http://rinkstats.com/2014/03/a-stats-driven-power-ranking">Check out this post on the new version of Rink Stats.</a>
I used the win probability metric, <a href="http://rinkstats.blogspot.com/2014/03/win-probabilities-metric-10.html">which I described here</a>, to calculate the average probability that each team wins each of their games. Then, for each team, I calculate a weighted-average (based on the logged temporal distance) of their win probabilities. In other words, the most recent game gets the highest weight, while game 1 is still in the calculation, but significantly down-weighted.<br />
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The result is a new power ranking metric, which is entirely based on in-game statistics. As far as I know (and please correct me if I'm wrong) but it's also the first power ranking (in any sport?) which doesn't just provide the ranks of the teams (1 through 30) but gives a sense of how big the gaps are between teams 1 and 2, 2 and 3, etc. Check out the results below, which are based on every game this season (excluding last night's).<br />
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As you can see, not only is Boston the top-ranked team, it's doing significantly better than the other teams in the top 5, mostly because of their dominance during their 12 game win streak. And you can see there's a huge dropoff in teams 25-30.<br />
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgRMOMYvx-Mem1dqE7GCBNnrPZp6E1TaMA8avkLwqBMCuTjZqnQDcRHkOb9Ih1ESUnrce8nFQoqryLGP7fmxQcfa1VNHejz85XDKSiLYljRNFFoYeOje-77v2oEV5jyaD-2putAUFiXpqI/s1600/March+24,+2014.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgRMOMYvx-Mem1dqE7GCBNnrPZp6E1TaMA8avkLwqBMCuTjZqnQDcRHkOb9Ih1ESUnrce8nFQoqryLGP7fmxQcfa1VNHejz85XDKSiLYljRNFFoYeOje-77v2oEV5jyaD-2putAUFiXpqI/s1600/March+24,+2014.png" height="426" width="640" /></a></div>
<br />Anonymoushttp://www.blogger.com/profile/06654463214049859090noreply@blogger.com2tag:blogger.com,1999:blog-8199936405783540709.post-53194332083816134622014-03-24T00:26:00.005-04:002014-07-30T23:27:53.337-04:00Win probabilities metric 1.0<a href="http://rinkstats.com/2014/03/win-probabilities-metric-10">Check out this post on the new version of Rink Stats.</a>
In the past few years, in-game win probability metrics have become increasingly common in the NFL, MLB, and NBA. Similar analytics for the NHL, however, have lagged behind. In this post I'll present version 1.0 of my NHL win probabilities metric.<br />
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So far, the metric is based on home ice advantage, score differential, and penalty time. The model is flexible enough, though, in include other factors like puck possession or (hopefully eventually) players-on-ice.<br />
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I'll assume that most people won't be interested in the statistical underpinnings, so I'll leave that for the end of the post and start by presenting some examples of the model applied to a recent games. Also, I've got some cool ideas of things I can do with this metric, but I'd love to hear any feedback you have. Plus, I'm still trying to think of a catchy name for the stat, so if you have any ideas let me know.<br />
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEg4qCeNLEZ2JCWS8O0aNKRtup8YaQDh0o0w-lp6mR6e94vMccxsWVl0_Vdl73eGfmeZqDWibV3yeHLl6j2YrM9FThHdNBSpvVntgkpP6HcTuxIiwtpfPmybvW6Pn6VqblwW7eD3j2M2ywc/s1600/2013+2014+0002.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEg4qCeNLEZ2JCWS8O0aNKRtup8YaQDh0o0w-lp6mR6e94vMccxsWVl0_Vdl73eGfmeZqDWibV3yeHLl6j2YrM9FThHdNBSpvVntgkpP6HcTuxIiwtpfPmybvW6Pn6VqblwW7eD3j2M2ywc/s1600/2013+2014+0002.png" height="426" width="640" /></a></div>
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<a name='more'></a><br /><br />
Above is the win probability graph from a Washington-Chicago game early this season. On the y-axis is the probability that the home team, Chicago, wins the game. On the x-axis is current time on the clock. Very austute hockey fans will notice that I've taken some liberty with the location of the blue lines. By making the neutral zone bigger, I'm able to make the blue lines correspond with the 1st and 2nd intermissions. Shh, don't tell anyone.<br />
<br />
Along the bottom of the graph is the time location of each goal scored in the game. This should give you a better idea of exactly what's going on in the probability curve. You'll notice that goals tend to correspond with the biggest swings in win probabilities.<br />
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEj7UbUIHp9QE5nLguEXkZRpNnSDEd7TN7Ss-6fUQpDL9pfJ3qvL7Q1UWcXpW4REwmh_tfWsRMYuVXHTt2wYc99tf2h6Vj6w8w3s43qmfvLrvKrceufKg4dL0Ctoq3rV-QTk4qjcwFvl5fE/s1600/2013+2014+1056.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEj7UbUIHp9QE5nLguEXkZRpNnSDEd7TN7Ss-6fUQpDL9pfJ3qvL7Q1UWcXpW4REwmh_tfWsRMYuVXHTt2wYc99tf2h6Vj6w8w3s43qmfvLrvKrceufKg4dL0Ctoq3rV-QTk4qjcwFvl5fE/s1600/2013+2014+1056.png" height="426" width="640" /></a></div>
<br />
There's also smaller peaks and valleys long the curve. These correspond with penalties which created power-play opportunities. You'll notice in the graph above (which was featured in <a href="http://thepensblog.com/2014-archives/ecap-game-70-pens-beat-the-bolts-in-ot.html">The Pensblog's recap for this game</a>), that Pittsburgh's first goal of the game was scored when they were in the middle of one of these small spikes. This means that the goal was a power play goal.<br />
<br />
One common thing that people have noted about the graphs is that they seem relatively flat. Shouldn't the probabilities be converging to 0 or 1 when a team is leading? The model has this property, although it's constructed in a way that does a better job of representing reality.<br />
<br />
Imagine a team is ahead 1-0 five minutes into the 1st period. We would expect their win probability to increase over the next 60 seconds. But we wouldn't expect it to increase nearly as much as it would in the time between 2 minutes and 1 minute remaining in the 3rd period.<br />
<br />
You can see an example of this property in the TB/PIT graph. Pittsburgh is ahead by 1 goal for about 10 minutes in the second period and their win probability increases a few percentage points. The slope is relatively flat. But look at the third period. Between Pittsburgh and Tampa's third goals, the Penguins win probabilities increase by a few percentage points also, except this time it occurs in just 90 seconds.<br />
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjXu73AdFm8fVEa5glq-r6vRSxAN-iUfPKGrWjfGmoFcECOkwX_T7VqVhgX_jplJE4xKXbAN-E0PrtRNg0Fa858DzeW6qZ5ARlayiHIbTeL9YhPSeeFze3n3vf4oneKsODlpilDiXZhGCM/s1600/2013+2014+0988.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjXu73AdFm8fVEa5glq-r6vRSxAN-iUfPKGrWjfGmoFcECOkwX_T7VqVhgX_jplJE4xKXbAN-E0PrtRNg0Fa858DzeW6qZ5ARlayiHIbTeL9YhPSeeFze3n3vf4oneKsODlpilDiXZhGCM/s1600/2013+2014+0988.png" height="426" width="640" /></a></div>
<br />
The model has other intuitive properties. A team that scores a goal in a tied game will have a much larger spike in its chance of winning the game than a team that scores when they're already ahead by several goals. This can be seen in the graph above, which shows the probability curve for a blowout game.<br />
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEguJyUD6xMVQBNhHGa1bmmU6smyZ7e9iyMu0xiI6IL5JtdscU5qk-QCrtSOkTYz4ZDIZuonhiGIgHDrnB5WtwMvdGkeNOQJEqb_NE8XN93EdMLS1Kj_68PhW5x8FV8bmURsaBq_X5VzxHU/s1600/2013+2014+0983.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEguJyUD6xMVQBNhHGa1bmmU6smyZ7e9iyMu0xiI6IL5JtdscU5qk-QCrtSOkTYz4ZDIZuonhiGIgHDrnB5WtwMvdGkeNOQJEqb_NE8XN93EdMLS1Kj_68PhW5x8FV8bmURsaBq_X5VzxHU/s1600/2013+2014+0983.png" height="426" width="640" /></a></div>
<br />
I've also built shootouts into the graphs. You'll notice in the graph above that the win probabilities do a lot more jumping around during the shootout, depending on whether each shooter did or did not score. This is because the results of each shot attempt tremendously impacts a team's chance of winning the shootout. If the first shooter misses, their team's win probability drops dramatically because they now only have two more attempts (to their opponent's 3). If the first shooter scores, their team's win probability spikes.<br />
<br />
I'm still trying to figure out a good way to represent shootout goals, since I have the obvious problem of text overlapping itself. Any ideas are welcome.<br />
<br />
<br />
<h2>
The stats behind the model</h2>
<br />
The basic guts of the model is a smoothed version of the conditional probability of the home team winning the game, given the current score and time remaining in the game. To get these probabilities in regulation time, I took 7 seasons of data (~8000 games), determined the score at all 3600 seconds (60 minutes x 60 seconds) and calculated the percentage of time the home team won the game at each of the different score differentials. The graph of these empirical results is below. The title of the graph indicates that these probabilities are smoothed. I used a very low information Bayesian beta prior to get rid of some of the noise resulting from fewer than a couple datapoints (particularly for rare games with big goal differentials very early in the games).<br />
<br />
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiA2w39ILcnSXxkUkWi8c0Fua3qsaNSdjp8v7lT6ITCUmd2C4xOREJhtWP839RSCTutIWRb_uvl__gPBM14IFmvpHu3JKdJ2cw2mfnIaHnx3FsIzmxBMTVGGOthAZhdKuJ16F1h1kvIPtU/s1600/all+graphs+smoothed+empirical.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiA2w39ILcnSXxkUkWi8c0Fua3qsaNSdjp8v7lT6ITCUmd2C4xOREJhtWP839RSCTutIWRb_uvl__gPBM14IFmvpHu3JKdJ2cw2mfnIaHnx3FsIzmxBMTVGGOthAZhdKuJ16F1h1kvIPtU/s1600/all+graphs+smoothed+empirical.png" height="426" width="640" /></a></div>
One note about the graph, and the model, is that I pool together all situations in which a team is head or behind by 5 or more points. Also, you'll notice that in tied games the probability of the home team winning is greater than 50%. This represents the empirical estimate of home-ice advantage. For all non-tied scores, I take home-ice advantage out of the calculus by taking the absolute value of the score difference and averaging based on the probability that the team ahead wins the game.<br />
<br />
My next step was to get rid of some of the jitteryness of the empirical graphs. I assume that the small bumps in the lines in the graph above are just statistical noise due to differential sample sizes and variance in the underlying data generation process.<br />
<br />
In order to smooth these curves out, I estimate five simple OLS models where the outcomes variable in each is the is the win probability given the score differential and the explanatory variables are time (in seconds), time squared, and time cubed. I also restrict the model such that the curves for each non-zero score differential must converge to 1 as time reaches 3600 seconds.<br />
<br />
I use the estimated coefficients to get a smoothed version of the first graph. Note: Because I used OLS, in a couple situations the model estimates win probabilities of higher than 100%. In these cases I set the probability of winning to be a value arbitrarily close to 100% (0.9999). The results from the regression smoothed win probabilities is below.<br />
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhJDJdAUTKM1KlCIjJVcEzAfMiVreprr7QeUILMmppW16rgPwUVBueRnkZAQrEBwqBA6THPaLJL5Wy_2IKTWTDHuHPhUoKrhSjMrn3VVTQNxWqbfTIw7nEAa4C85UKcM2kQrvJSw2sTO6o/s1600/all+graphs+cubic+smoother.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhJDJdAUTKM1KlCIjJVcEzAfMiVreprr7QeUILMmppW16rgPwUVBueRnkZAQrEBwqBA6THPaLJL5Wy_2IKTWTDHuHPhUoKrhSjMrn3VVTQNxWqbfTIw7nEAa4C85UKcM2kQrvJSw2sTO6o/s1600/all+graphs+cubic+smoother.png" height="426" width="640" /></a></div>
The next step in building the model was to incorporate penalty information. The datawork behind this was no easy task. I've been trying for the better part of a year to get the number of seconds remaining on penalties from the play-by-play. The data on the NHL's website doesn't explicitly have this, so I had to learn the intricacies of the NHL rulebook, turn the rules into code, and put in about a million exceptions for very bizarre game situations or errors in the HTML for the original play-by-play on nhl.com.<br />
<br />
Once I had the number of seconds remaining at each strength for every second in each game (5-4, 4-4, 4-5, 3-4, etc.) I calculated the powerplay and shorthanded scoring rates. Then, for times in the game which were not played at full strength, I use the law of total probability to calculate the win probability of the home team if they're on a power play:<br />
<br />
P(home win) = P(home win|current score) * P(no SHG) * P(no PPG) +<br />
P(home win|current score)*P(1 SHG)*P(1 PPG) +<br />
P(home win | current score + 1)*P(no SHG)*P(PPG) +<br />
P(home win | current score - 1)*P(SHG)*P(no PPG)<br />
<br />
Of course this formula isn't exactly an equivalency. I've left out the possibility of multiple sort-handed goals, as well as multiple power play goals (on a major penalty). But the probabilities of multiple PPG or SHGs occurring on the same penalty are so small that assuming them away has virtually no effect on the model.<br />
<br />
So far, this gives us the win probabilities for the 1st through 3rd periods. For overtimes, I take a slightly different approach. Home ice-advantage is virtually nil in overtimes, so when the teams are at even strength, I assume the probability of either team winning is 50%. For home powerplay situations I'm able to reduce the formula above slightly:<br />
<br />
P(home OT win) = P(home OT win|current score) * P(no SHG) * P(no PPG) +<br />
P(home OT win | current score + 1)*P(no SHG)*P(PPG) +<br />
P(home OT win | current score - 1)*P(SHG)*P(no PPG)<br />
= 0.5 * P(no SHG) * P(no PPG) +<br />
1 * P(no SHG)*P(PPG) +<br />
0 * P(SHG)*P(no PPG)<br />
= 0.5 * P(no SHG) * P(no PPG) + P(no SHG)*P(PPG)<br />
<br />
This formula implies that powerplays in overtime will create bigger spikes and troughs in the win probability curves, since the probability of winning reduces to the probability of scoring once in overtime.<br />
<br />
The last thing I put into the model is shootouts. For the first 3 rounds I use 7 seasons of data to get the probability of a team winning, conditional on which shooter (1 through 6) is up and what the score differential is. I collapse together rounds 4+ and condition on whether it's the first or second shooter of the round and (for the second shooter) whether or not the first scored.<br />
<div>
<br /></div>Anonymoushttp://www.blogger.com/profile/06654463214049859090noreply@blogger.com6tag:blogger.com,1999:blog-8199936405783540709.post-53307619944097037932014-03-14T00:35:00.001-04:002014-07-30T23:27:44.868-04:00Win probabilities<a href="http://rinkstats.com/2014/03/win-probabilities">Check out this post on the new version of Rink Stats.</a>
I started working today on a new project. I'm trying to build a dataset that allows somebody to get the probability of a team winning a game, given the current score, time remaining, PP situation, and other variables. So far I've built the score and time remaining into my model, although hopefully in the next few days I'll add PP/SH info.<br />
<br />
I also am trying to find a nice looking way to present the results. Below is what I have so far. This is the win probability from the exciting game 6 of the Stanley Cup Finals last year, in which Chicago trailed by a goal with less than 2 minutes left and ended up winning the game in regulation.<br />
<br />
I'd love anybody's feedback (via email, Twitter, Facebook, wherever) on where you think I should go with this or how I can make the graphs look nicer.<br />
<br />
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiMf80iZsDWfqN1LbISvRZCD-Kx8dnAOJzjv-v7yGudR04k2YJ9mZ44KvfyTYCnuySpJa4i4sDmWgcYOT8GGkUyzdUmFukqTPl_fW5F0gG_jrLB_YodfExW6xZpYOT-Wma-JH7JbFZy3Ww/s1600/cupfinals.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiMf80iZsDWfqN1LbISvRZCD-Kx8dnAOJzjv-v7yGudR04k2YJ9mZ44KvfyTYCnuySpJa4i4sDmWgcYOT8GGkUyzdUmFukqTPl_fW5F0gG_jrLB_YodfExW6xZpYOT-Wma-JH7JbFZy3Ww/s1600/cupfinals.png" height="426" width="640" /></a></div>
<br />
In a crazy twist, <a href="https://twitter.com/ExtraSkater/status/444310852691169280/photo/1">it looks like Extra Skater has rolled out a similar metric today as well</a>. I think mine looks fancier though.Anonymoushttp://www.blogger.com/profile/06654463214049859090noreply@blogger.com0tag:blogger.com,1999:blog-8199936405783540709.post-62717448985368742332014-03-13T10:11:00.001-04:002014-07-30T23:27:35.495-04:00​How The Long-Change OT Could Cut NHL Shootouts By A Third<a href="http://rinkstats.com/2014/03/how-long-change-ot-could-cut-nhl">Check out this post on the new version of Rink Stats.</a>
<a href="http://regressing.deadspin.com/how-the-long-change-ot-could-cut-nhl-shootouts-by-a-th-1542328902">I just wrote my first article for Deadspin.</a> A hot topic in the NHL community this week has been the possibility of tweaking the overtime rules to generate more goals and fewer shootouts. In the article, which is a followup to <a href="http://rinkstats.blogspot.com/2013/06/testing-two-common-adages-about-when.html">an article I wrote here a few months back</a>, I look at the potential consequences of one of the proposed rules changes. I find that having the teams switch sides in OT, so that all 5 minutes are played with the long-change could drop the number of shootouts by a third.<br />
<br />
A snippet:<br />
<br />
<blockquote class="tr_bq">
<h4>
<span style="font-weight: normal;">"...we should expect that 34.29 percent of the games that go to a shootout under the current rules would instead be resolved by a game-winning goal in overtime (plus/minus 3.45 percent). In other words, if the NHL GMs adopt the proposal to make regular season overtimes use the long change, the number of shootouts in the 1,230 game season would drop from about 166 (13.5 percent of games) to about 109 (8.87 percent)."</span></h4>
</blockquote>
<br />Anonymoushttp://www.blogger.com/profile/06654463214049859090noreply@blogger.com0tag:blogger.com,1999:blog-8199936405783540709.post-32816176791661280052014-02-06T20:35:00.000-05:002014-07-30T23:27:25.925-04:002014 Sochi Olympics: Why Canada Will Rule (Again) in Hockey<a href="http://rinkstats.com/2014/02/2014-sochi-olympics-why-canada-will">Check out this post on the new version of Rink Stats.</a>
A friend of mine from grad school recently got me connected with a buddy of his who writes for the Wall Street Journal. I just wrote my first article for their regular feature <i>The Count</i>. I look at how much NHL Olympians are paid and how this can help us predict who will win gold in Sochi. <a href="http://online.wsj.com/news/articles/SB10001424052702304450904579367082662376324?mg=reno64-wsj&url=http%3A%2F%2Fonline.wsj.com%2Farticle%2FSB10001424052702304450904579367082662376324.html">Check it out here</a><br />
<div>
<br /></div>
<div>
Here's a snippet:</div>
<blockquote class="tr_bq">
<span style="font-family: Arial, Helvetica, sans-serif; font-size: 15px; line-height: 21px;">A huge chunk of that money is being paid to the 50 players on the two North American teams. The Canadian team, led by Sidney Crosby, makes a combined $157 million in the NHL, up from $126 million in the 2010 Vancouver Olympics, when host Canada won the gold. The NHLers on the U.S. team earn $127 million, up from $83 million in 2010. At the other end of the spectrum is Norway, which features just one NHL player: Mats Zuccarello, who makes $1.15 million this season for the New York Rangers.</span></blockquote>Anonymoushttp://www.blogger.com/profile/06654463214049859090noreply@blogger.com2tag:blogger.com,1999:blog-8199936405783540709.post-60572817039656722212013-12-12T17:15:00.000-05:002014-07-30T23:27:15.210-04:00Why popular advanced stats are bad at predicting who wins hockey games<a href="http://rinkstats.com/2013/12/why-popular-advanced-stats-are-bad-at">Check out this post on the new version of Rink Stats.</a>
<div class="MsoNormal">
A few days ago, <a href="http://bleacherreport.com/articles/1859473-the-idiots-guide-to-nhl-advanced-statistics-part-i">Jonathan Willis at Bleacher Report had a great article</a> introducing his readers to a few of the most common NHL advanced
statistics. He breaks the stats up into team statistics and player statistics.
For team stats he mostly focuses on Fenwick and Corsi, which are the two most
popular way that hockey analysts like to measure shot attempts.</div>
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<br /></div>
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Fenwick and Corsi are commonly thought of as a good way to
capture how much a team is dominating offensively, since teams only attempt a
shot when they're in their offensive zone. In other words, Fenwick and Corsi
are thought of as proxies for how much time a team spends in their offensive
zone. A natural conclusion to draw from this is that if your team dominates
your opponent in the Fenwick and Corsi stats, then most of the game was likely
spent in your offensive zone and your team probably won the game.</div>
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<br /></div>
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In this post I'm going to dig into Fenwick and Corsi and
show that neither stat is very good at predicting who wins hockey games in the
NHL. In fact, I'll show that the simple shots-on-goal stat does a better job at
predicting who will win a game than Fenwick and Corsi.</div>
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</div>
<a name='more'></a><br />
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Before I go any further, here's a quick crash course on what
Fenwick and Corsi are. In every NHL game, the official play-by-play records
shots on goal, as well as missed shots and blocked shots. When Fenwick and
Corsi are used as team-stats, their calculation is straight-forward. A team's
Fenwick is their number of shots on goal (including goals scored) plus missed
shots. A team's Corsi is this number plus the number of shot attempts that were
blocked by the defense.</div>
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<br /></div>
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Often, people use the difference between the two teams'
Fenwick or Corsi measure as a way to measure the amount of time each team
possessed the puck in their own offensive zone. Because they ought to capture
offensive possession time, Fenwick and Corsi differential are often assumed to be
good indicators of who wins hockey games. The rest of the post will show why
this isn't the case.</div>
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<br /></div>
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</div>
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEg_4HQAMunm-kltSmF5L1voYePvX8W79F2Y3f-XCSjXnQwGtUUJUVYqtDv1XSbbAS0q3w1pDZbmsYGWL0XXNZ4Sgvddy9_c_8nEayEC1UTUZ3HfAoFHV2TG3eDS-WAsV8jTaoh-RVwlkk0/s1600/sidebyside.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEg_4HQAMunm-kltSmF5L1voYePvX8W79F2Y3f-XCSjXnQwGtUUJUVYqtDv1XSbbAS0q3w1pDZbmsYGWL0XXNZ4Sgvddy9_c_8nEayEC1UTUZ3HfAoFHV2TG3eDS-WAsV8jTaoh-RVwlkk0/s1600/sidebyside.png" /></a></div>
<o:p><br /></o:p></div>
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<o:p><br /></o:p></div>
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The graphs above shows the winning percentage of teams that finish
the game with more shots, higher Corsi, and higher Fenwick. These numbers (and all the stats in the post) were calculated based on the play-by-play from every
regular season game from the 2007-2008 season to the lockout-shortened 2013
season, about 6850 games in total.</div>
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<br /></div>
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As you can see, none of these stats are particularly good at
predicting who wins games, regardless of whether we look at all shot attempts
or just those that occur in 5-on-5 situation. Of the three statistics,
shot-on-goal differential is the best predictor of success.</div>
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<br /></div>
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Think of it this way. If these statistics are useful
predictors of who wins and loses games, then we should be able to do a good job
of picking the winner of a game based only on these stats. Imagine that we had
a list of 100 random NHL games, and we were provided the shot, Corsi, and
Fenwick differentials for each game, and we were supposed to guess which team
won the game.</div>
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<br /></div>
<div class="MsoNormal">
If we flipped a coin 100 times, we'd pick the correct team
50 times. If we always picked the team that won the shot differential, we'd
pick about 53 games correct. If we always picked the team that had the higher
Fenwick, we'd pick about 51 games correct. And if we picked the team that had a
higher Corsi, we'd pick 46 games correctly; 4 worse than if we just flipped a
coin.</div>
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<br /></div>
<div class="MsoNormal">
<b>In other words, using
Fenwick as a predictor of who wins a hockey game is only marginally better than
flipping a coin. Predicting games based on Corsi differential is noticeably <i>worse</i> than just flipping a coin.<o:p></o:p></b></div>
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<h3>
Are big gaps in Fenwick or Corsi better predictors of winning?</h3>
<div>
<br /></div>
</div>
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One possible argument to defend Fenwick and Corsi against what
I've said so far is that a lot of games end with the Fenwick and Corsi
differential being extremely close. These games may add a lot of noise to the
data, making it difficult to see the positive correlation between Fenwick/Corsi
and winning percentages. While this argument seems valid, it doesn't hold up
when you test it with the data.</div>
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEh4D62FfQy_vDmuy055AOHZ_fHFS4sctoVGwWFH_eqQYaq8-PQbpyo0NBcjLrTXNFpQqEYQSy_od_6KgxT0tXv8iuF6PTT3fuRkIvKoSx-LuLvYmfLQ05qVuS7YeyUyaAJxm-mpqo-PR1E/s1600/alloverallstats_trunc.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEh4D62FfQy_vDmuy055AOHZ_fHFS4sctoVGwWFH_eqQYaq8-PQbpyo0NBcjLrTXNFpQqEYQSy_od_6KgxT0tXv8iuF6PTT3fuRkIvKoSx-LuLvYmfLQ05qVuS7YeyUyaAJxm-mpqo-PR1E/s1600/alloverallstats_trunc.png" /></a></div>
<br />
<br /></div>
<div class="MsoNormal">
The graph above is
identical to the two earlier in this post, except this time I have dropped any games
in which the team differential in the statistic of interest was less than 5.
What is interesting is that, contrary to the argument suggested above, dropping
games with close shot, Corsi, or Fenwick differentials actually makes the
statistics worse at predicting who wins the game.</div>
<div class="MsoNormal">
<br /></div>
<div class="MsoNormal">
The pure shot differential statistic is now predicting the
correct winner just 51 times out of 100. The difference in Fenwick -- in games
with a Fenwick differential of more than 5 -- performs worse than a coin flip,
when predicting which teams wins and which team loses. And the Corsi statistic
has become even worse. Teams that have 5 more shots, misses, and attempts
blocked than their opponent only win the game 44% of the time. The set of graphs
below illustrate why this is the case.</div>
<div class="MsoNormal">
<br />
<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgRrdihMS2tMifREeNZuUEN9skUg-V8n7FybjxSu1Va0DqqEjV_4YAPDzfW4NBc3eu3Prw6DWLKYkScE3LRtXicX7GUDnoP_xmX9agYbuznYDZGpgBQ00BaJSoBKsJRp-2UR8ACAjBq7h0/s1600/shotdiff.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em; text-align: center;"><img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgRrdihMS2tMifREeNZuUEN9skUg-V8n7FybjxSu1Va0DqqEjV_4YAPDzfW4NBc3eu3Prw6DWLKYkScE3LRtXicX7GUDnoP_xmX9agYbuznYDZGpgBQ00BaJSoBKsJRp-2UR8ACAjBq7h0/s1600/shotdiff.png" /></a><br />
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhDxdOYoeeGEWQPOIzaydUimgXWXGTKpYP-ZrPEd611p1CAcFTHn2KT6h2jdml39TdiEZ-S6917UqUjDuHxLc2-wL9-TZrqQYkUg4FRYlcuC8xm7xJwnpErnQ4zYA-GWMEOQ406wlvFQsQ/s1600/fenwickdiff.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhDxdOYoeeGEWQPOIzaydUimgXWXGTKpYP-ZrPEd611p1CAcFTHn2KT6h2jdml39TdiEZ-S6917UqUjDuHxLc2-wL9-TZrqQYkUg4FRYlcuC8xm7xJwnpErnQ4zYA-GWMEOQ406wlvFQsQ/s1600/fenwickdiff.png" /></a></div>
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEi2cLN1MXD7iz4aa9viuXA6-whQfG_DpHj6qkd8k6sTf2iVWAfjAJNa68-8GaUJLAfZVLGAtxkj4XTru8moX3_VwJ83V-wHPrNGQeaqeU2o90E6hxwlJrlnBvIoLrxHWCWJd0I2KTyM1OQ/s1600/corsidiff.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEi2cLN1MXD7iz4aa9viuXA6-whQfG_DpHj6qkd8k6sTf2iVWAfjAJNa68-8GaUJLAfZVLGAtxkj4XTru8moX3_VwJ83V-wHPrNGQeaqeU2o90E6hxwlJrlnBvIoLrxHWCWJd0I2KTyM1OQ/s1600/corsidiff.png" /></a></div>
<br />
<br /></div>
<div class="MsoNormal">
These three graphs show the winning percentages of teams who
had more shots, higher Corsi, or higher Fenwick. The x-axis is the value of the
shot/Corsi/Fenwick difference. The first graph, which focuses on shots on goal,
seems to show a positive relationship between shot differential and winning
percentage. <b>Said another way, the more a
team outshoots their opponent, the higher the probability that they win the
game.</b></div>
<div class="MsoNormal">
<br /></div>
<div class="MsoNormal">
The analogous graphs for Fenwick and Corsi differences tell
a very different story. Until the Fenwick differential is more than about 25,
the relationship between Fenwick and winning percentage is flat. Teams in this
range seem to have about a 50/50 chance of winning the game. When the Fenwick
difference is greater than 25, there is not as much of clear pattern. The graph
jumps around quite a bit partly because there are very few games with Fenwick
differences this high, making it difficult to pin down the relationship between
Fenwick and winning.</div>
<div class="MsoNormal">
<br /></div>
<div class="MsoNormal">
The graph for Corsi tells a slightly more clear story. Until
the Corsi difference is greater than 45, there seems to be a distinct downward
trend in the data. <b>The greater the
difference in Corsi between two teams, the more likely it is that the team with
the lower Corsi value wins the game.<o:p></o:p></b></div>
<div class="MsoNormal">
<br /></div>
<div class="MsoNormal">
<br />
<h3>
Do Fenwick and Corsi become better predictors of winning as the game goes on?</h3>
</div>
<div class="MsoNormal">
<br /></div>
<div class="MsoNormal">
The last thing I'm going to explore in this post is whether
Fenwick or Corsi become better predictors of winning as the game progresses. So
far I've only looked at winning percentages of teams based on the full game's
Corsi or Fenwick stats. It could certainly be the case that these statistics
get better at predicting who wins as the game goes on.</div>
<div class="MsoNormal">
<br /></div>
<div class="MsoNormal">
To test this, I look at several points throughout close games
to see how good the stats are at predicting the winner. I start 15 seconds into
the game and remove any games which were not tied at this point. Then I
calculate the shots, Fenwick, and Corsi stats based on the remaining 59:45 of
the game. I then calculate the winning percentage of the teams who won the
shots/Fenwick/Corsi battle. After that, I go back to the full dataset and
repeat the process for :30, :45, 1:00, etc. until I have the winning
percentages at every 15 second interval in regulation.</div>
<div class="MsoNormal">
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgfFhf9CBY4-xL9WDgPZp0bcu-7ZfC6hzTtsoFS_uXWmwIFf3vh3j6Ii6t4mNTopWR1F9kPIoSw3ELH_duH49jEr1mxYHWva7it1wULuIPfrBcvtkEf3-kMtar1mzk9w0ZKKzs6G0C7Kxg/s1600/winpctshot.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgfFhf9CBY4-xL9WDgPZp0bcu-7ZfC6hzTtsoFS_uXWmwIFf3vh3j6Ii6t4mNTopWR1F9kPIoSw3ELH_duH49jEr1mxYHWva7it1wULuIPfrBcvtkEf3-kMtar1mzk9w0ZKKzs6G0C7Kxg/s1600/winpctshot.png" /></a></div>
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgfBWd3tFO2BsR32ZA-L_MC0y7baA5a1Bg6SNRlmk4PIreBdobgQmcT2QPPhQIzRB4y5lSlmKDHfdzqwgMkX_gJHA4p9IDGTOmAz-kslCZNhh0NdGb8P3ixgQ-OpJ4Wm7iEy9CGjdbIRjo/s1600/winpctfenwick.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgfBWd3tFO2BsR32ZA-L_MC0y7baA5a1Bg6SNRlmk4PIreBdobgQmcT2QPPhQIzRB4y5lSlmKDHfdzqwgMkX_gJHA4p9IDGTOmAz-kslCZNhh0NdGb8P3ixgQ-OpJ4Wm7iEy9CGjdbIRjo/s1600/winpctfenwick.png" /></a></div>
<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjhJcwIrtBLCMMGRH66WlNN4Zv8uokSWcwg4kjzR2PPrIMzDRSx_g3CMpP7dIRkPiSx7-8Z5QpZX1yofhTEy63aoCZBnBVhQgdFvn16KJYscajD8kvZp7zPm68NXnjDQ36d7PFD1kkq82E/s1600/winpctcorsi.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em; text-align: center;"><img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjhJcwIrtBLCMMGRH66WlNN4Zv8uokSWcwg4kjzR2PPrIMzDRSx_g3CMpP7dIRkPiSx7-8Z5QpZX1yofhTEy63aoCZBnBVhQgdFvn16KJYscajD8kvZp7zPm68NXnjDQ36d7PFD1kkq82E/s1600/winpctcorsi.png" /></a><br />
<br /></div>
<div class="MsoNormal">
The graphs above show these winning percentages, based on
time remaining in regulation. Remember, all the numbers presented in these
graphs are based on games which were tied at that point.<b> The takeaway from all three of these graphs is that these three
statistics get worse and worse at predicting the winner as the game goes on.</b></div>
<div class="MsoNormal">
<br /></div>
<div class="MsoNormal">
Shots on goal differential remains a positive predictor of
winning until about 10 minutes into the first period. Fenwick is a good
predictor for about five minutes, and then becomes worse than just flipping a
coin. And Corsi starts as a terrible predictor of winning, and gets worse from
there.</div>
<div class="MsoNormal">
<br /></div>
<div class="MsoNormal">
The last thing to note about these graphs is the big upswing
in all three at the far right. The reason all three of these become very good
predictors of winning at the end of the game is overtime. Games that are tied
with one or two minutes left in regulation almost always go to overtime. In
overtime, either team can end the game on the first shot.</div>
<div class="MsoNormal">
<br /></div>
<div class="MsoNormal">
<br />
<br /></div>
<div class="MsoNormal">
<br /></div>
<div class="MsoNormal">
When you think about it, none of my findings should as a
surprise to anybody. Fenwick and Corsi incorporate plays which, by definition, won't
help you to win games. The best consequence of a missed or blocked shot is your
team retrieving possession of the puck, putting you right back where you were
before you attempted the shot. At worst, you're conceding possession to the
other team. This doesn't mean that teams shouldn't take lots of shot attempts,
since you don't know whether an attempt will be a shot, miss, or block. <b>It does mean that analysts should think
hard about using Corsi or Fenwick as an indication of how well a team is
playing. You're taking a stat (shots on goal) that could directly influence the
outcome of games, and adding plays (missed and blocked shots) to it which, by
definition, cannot help a team win the game since they cannot directly put
points on the board.</b></div>
<div class="MsoNormal">
<br /></div>
<br />
<div class="MsoNormal">
In the next week or so I hope to write a follow up post to
this one, where I'll suggest a couple of statistics that might be better team
statistics than Corsi or Fenwick.</div>Anonymoushttp://www.blogger.com/profile/06654463214049859090noreply@blogger.com9tag:blogger.com,1999:blog-8199936405783540709.post-31106087137433173912013-10-27T18:06:00.003-04:002014-07-30T23:27:03.278-04:00What wins hockey games?<a href="http://rinkstats.com/2013/10/what-wins-hockey-games">Check out this post on the new version of Rink Stats.</a>
<div class="MsoNormal">
What wins a hockey game? We often hear from announcers
things like, "The team that wins in the faceoff circle will win this game"
or "They've got to get the puck on the net if they want to win tonight."
But which of these statements are true? <b>More
generally, which team stats are best at predicting who wins hockey games?</b></div>
<div class="MsoNormal">
<br /></div>
<div class="MsoNormal">
I take a first stab at that question here by looking at what
correlates with winning hockey games. I use seven years of NHL play-by-play
data to generate statistics like shot-differential, hit-differential, faceoff
win-differential, etc. and then use those statistics as variables in logistic
regression in order to evaluate who wins games and why.</div>
<div class="MsoNormal">
<br /></div>
<div class="MsoNormal">
What surprised me is that the statistic that I would have
guess correlates most strongly with winning (shots on goal) is highly
correlated with winning, but in the wrong direction. <b>That's to say, the team that takes more shots in a game is, on average,
<i>less</i> likely to win the game. More
predictably, I also find that winning faceoffs and being the beneficiary of
turnovers both positively contribute to a team's chances of winning.<o:p></o:p></b></div>
<div class="MsoNormal">
<b></b></div>
<a name='more'></a><br />
<div class="MsoNormal">
<br /></div>
<div class="MsoNormal">
To answer do my analysis, I used my cleaned dataset of more
than 2 million plays in every season from 07-08 through 12-13. For each game I
calculated the number of times the home and away teams registered several
different types of statistics. Specifically I considered shots on goal, blocked
shot attempts, missed shots, hits, faceoff wins, and turnovers. I then took the
difference between the two teams for each of these statistics (e.g.: home SOG
minus away SOG).</div>
<div class="MsoNormal">
<br /></div>
<div class="MsoNormal">
From there, I used logistic regression to evaluate how each
of these six factors played a role in whether the home team won or lost the
game. Logistic regression is similar to linear regression except, instead of having a dependent (response) variable that
possibly ranges from negative infinity to infinity, the dependent variable
takes a value of zero (home team loses) or one (home team wins). One advantage
of this approach is that it allows me to consider the effect of one variable (say,
shots on goal) on winning probability, while "controlling" for the
other five variables.</div>
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<br /></div>
<div class="MsoNormal">
Instead of presenting a complicated table of results from
the regression (which even trained statisticians would struggle to easily and effectively
interpret), I turned the results into easily interpretable graphs.</div>
<div class="MsoNormal">
<br /></div>
<div class="separator" style="clear: both; text-align: center;">
<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjChUISV_DEFJv6ZnMJ6XjJlWhSfGHKiJxpqCWutoDuoaxTn7EyF4rSZOqv9wLS4543uRbRVhu59TWfhzcYT8UeZAC4MXw7iGDkHijuuEWKS_Na-bzDO0Wdyzsk5x6LyMOrdzNie2nsYp8/s1600/win+correlates+1+.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjChUISV_DEFJv6ZnMJ6XjJlWhSfGHKiJxpqCWutoDuoaxTn7EyF4rSZOqv9wLS4543uRbRVhu59TWfhzcYT8UeZAC4MXw7iGDkHijuuEWKS_Na-bzDO0Wdyzsk5x6LyMOrdzNie2nsYp8/s1600/win+correlates+1+.png" /></a></div>
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhgVWWGtAKiIw4fF4Lfe7O_xNfCRtE0F5sqyVEkczSrX4hrW12Rqm84WldQ6nK7lNUG3tZpR7PkEX2nKFhOBgE6SBKy4gFlhvC26ba_NS5_VE_WB2HiUGttkdTD-NkPEifM2DtcukvK3pQ/s1600/win+correlates+3+.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhgVWWGtAKiIw4fF4Lfe7O_xNfCRtE0F5sqyVEkczSrX4hrW12Rqm84WldQ6nK7lNUG3tZpR7PkEX2nKFhOBgE6SBKy4gFlhvC26ba_NS5_VE_WB2HiUGttkdTD-NkPEifM2DtcukvK3pQ/s1600/win+correlates+3+.png" /></a></div>
<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhU1OeOPOicMn7QmBYuTbFeUGtMgTBjwwnwikYgLEPt2A5gbhRKBmpWGcSesVt-IAWoUzMN7pqVl55tbUy2sW4el7duIC3tbva-QasV6zTU9yjG4DYJNtImCGO7pCAJAsfU-jzZd_4of1Q/s1600/win+correlates+5+.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em; text-align: center;"><img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhU1OeOPOicMn7QmBYuTbFeUGtMgTBjwwnwikYgLEPt2A5gbhRKBmpWGcSesVt-IAWoUzMN7pqVl55tbUy2sW4el7duIC3tbva-QasV6zTU9yjG4DYJNtImCGO7pCAJAsfU-jzZd_4of1Q/s1600/win+correlates+5+.png" /></a><br />
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<o:p><br /></o:p></div>
<div class="MsoNormal">
<o:p><br /></o:p></div>
<div class="MsoNormal">
The first set of graphs show, what I think, are the most
surprising results. <b>The first graph shows that as the home team takes more and more shots (relative to the away
team) the home team's probability of winning decreases. Similarly, the big
positive differences in blocked shot and missed shot attempts also correspond
with lower win probabilities for the home team.</b></div>
<div class="MsoNormal">
<br /></div>
<div class="MsoNormal">
These findings are particularly interesting because of what
they suggest about the increasingly-popular Corsi and Fenwick statistics. Corsi
can be thought of as the plus-minus for a player or a team, except instead of
measuring goal plus-minus it measures plus-minus for all shot attempts (shots
on goal, missed shots, and blocked shots). Fenwick is similar, except it omits
blocked shots from its calculation. The results of my analysis imply that high
values of Corsi and Fenwick should actually correlate with lower probabilities
of winning games.</div>
<div class="MsoNormal">
<br /></div>
<div class="MsoNormal">
In addition to the results related to shooting the puck, the
regression tells us some things about a few other common statistics.<b> First, big differences in the number of
hits appears to favor the team receiving the hits rather than the one dishing
them out. </b>This result confirms what I found in <a href="http://rinkstats.blogspot.com/2013/06/hitters-and-hittees-in-2013.html">an earlier post</a>.</div>
<div class="MsoNormal">
<br /></div>
<div class="MsoNormal">
Second, winning the turnover battle pays big dividends. <b>Generating five extra turnovers during the
course of the game increases a team's probability of winning by about 10%. </b>Third,
<b>winning faceoffs also makes a team more
likely to win a game, although this effect isn't as big as somebody might
expect.<o:p></o:p></b></div>
<div class="MsoNormal">
<br /></div>
<h3>
Third Period Effects?</h3>
<div class="MsoNormal">
One possible explanation for why shot attempts has the
opposite effect on winning probabilities as we'd expect is that desperate teams
trailing on the scoreboard might tend to throw the puck at the net a lot more.
To account for this possibility I did the same set of analyses as above, except
this time <b>I restricted the data so that
I was only looking at third period stats in games that were tied entering the
third.<o:p></o:p></b></div>
<div class="MsoNormal">
<br /></div>
<div class="MsoNormal">
Games that are tied entering the third should shouldn't have
the problem of the data being distorted by desperate strategies by teams
trailing on the scoreboard. Luckily because the dataset is so big, even
restricting the analysis to these games leaves me with over 900 games to
analyze. The graphs below show the results from this analysis.</div>
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<br /></div>
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgB6gtWvObFs_0u5NQxtPi3zo_VVIEDzTUqGoDQwyWCwkrwJd20oZLyvxH4VPq8zDdgY6_mWtOpuXVEcZegW0nhmyWLE_jCaikigdAUEUpQMPEgF7BEN_8EjEOdV6mO0q6AQxR6stWneoQ/s1600/win+correlates+in+third+period+1+.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgB6gtWvObFs_0u5NQxtPi3zo_VVIEDzTUqGoDQwyWCwkrwJd20oZLyvxH4VPq8zDdgY6_mWtOpuXVEcZegW0nhmyWLE_jCaikigdAUEUpQMPEgF7BEN_8EjEOdV6mO0q6AQxR6stWneoQ/s1600/win+correlates+in+third+period+1+.png" /></a></div>
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEg4IqTOawmj61xE5HHOIqFRBpK6bXKz3nlyz33dqb10NwlPlkmDyZIw_BVLCTGmYzgpnIVeT9Y3it_On6pWdBM2ShkcM6BlnustcFwcMHNovTZB0DeRBbGK0bwHEW68YTxrUNR45hl1MAc/s1600/win+correlates+in+third+period+5+.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em; text-align: center;"><img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEg4IqTOawmj61xE5HHOIqFRBpK6bXKz3nlyz33dqb10NwlPlkmDyZIw_BVLCTGmYzgpnIVeT9Y3it_On6pWdBM2ShkcM6BlnustcFwcMHNovTZB0DeRBbGK0bwHEW68YTxrUNR45hl1MAc/s1600/win+correlates+in+third+period+5+.png" /></a><br />
<div class="MsoNormal">
<o:p><br /></o:p></div>
<div class="MsoNormal">
<o:p><br /></o:p></div>
<div class="MsoNormal">
<b>The patterns in close
third period games are very similar to those in games overall. </b>Shooting
more often diminishes your chance of winning the game. I think the most
interesting thing to point out is how large the effects of turnovers and faceoffs
are. <b>Generating an extra turnover or two
in the third period can cause a team's chances of winning to jump by 5 or 10
percentage points. Likewise, winning an extra faceoffs or two gives a team a
nice bump in their winning probability.<o:p></o:p></b></div>
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<br /></div>
<br />
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So what have we learned? Shooting the puck more often might
not be all it's cracked up to be. Same with hitting. And if you want to win
games, then win the faceoff battle and create turnovers in your favor.</div>Anonymoushttp://www.blogger.com/profile/06654463214049859090noreply@blogger.com4tag:blogger.com,1999:blog-8199936405783540709.post-18684648696348053262013-10-02T09:30:00.002-04:002014-07-30T23:26:55.430-04:00Rink Stats in the Boston Globe!<a href="http://rinkstats.com/2013/10/rink-stats-in-boston-globe">Check out this post on the new version of Rink Stats.</a>
I was really excited yesterday to see that my work on NHL realignment had generated some publicity beyond the internet. At the New England Symposium on Statistics in Sports a couple weekends ago, I talked with Fluto Shinzawa, the Bruins beat writer for the Boston Globe, about <a href="http://rinkstats.blogspot.com/2013/09/realignment-gap-conference-poster-for.html">my work</a> on why the realignment is unfair for Eastern Conference teams.<br />
<br />
In yesterday's Boston Globe he had incorporated some of my research findings into his preview of the 2013-2014 NHL season. <a href="http://www.bostonglobe.com/sports/2013/09/30/nhl-preview-for/TdYtx719Gs14K6OdB9e6tL/story.html">Check it out here</a>. And just to prove that it really appeared in print, I bought a copy of the paper and took a picture of the article:<br />
<br />
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgj6eDVjuqoUTXHblZO-v_scdiljkmFgdE2AgWNs2_OvJPUbhdCpXeZ618GT3VzXqLhHl1fusdZ1p2MltkD-mwfYVKoOayTZasFAn2y6wVf3ucyLI8rUG-_hswDRAdu5IbgCJlv4r0ys6c/s1600/IMG_20131001_143940213.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="640" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgj6eDVjuqoUTXHblZO-v_scdiljkmFgdE2AgWNs2_OvJPUbhdCpXeZ618GT3VzXqLhHl1fusdZ1p2MltkD-mwfYVKoOayTZasFAn2y6wVf3ucyLI8rUG-_hswDRAdu5IbgCJlv4r0ys6c/s640/IMG_20131001_143940213.jpg" width="360" /></a></div>
<br />Anonymoushttp://www.blogger.com/profile/06654463214049859090noreply@blogger.com0tag:blogger.com,1999:blog-8199936405783540709.post-5566150136250671532013-09-20T14:55:00.003-04:002014-07-30T23:26:45.583-04:00Realignment gap conference poster for NESSIS<a href="http://rinkstats.com/2013/09/realignment-gap-conference-poster-for">Check out this post on the new version of Rink Stats.</a>
Tomorrow I'm going to be doing a poster presentation about the work on NHL realignment at the <a href="http://www.nessis.org/">New England Symposium on Statistics in Sports</a>. The conference is hosted by the Harvard Statistics Department and should be really fun. There's presentations about just about every sport, as well as discussions with people who have worked in statistics departments for teams.<br />
<br />
<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEi-nTS2lzyeHdOCpZ8X9VGx6SzxJaM5IeSyVb03fqsKaDNikEUxaDgtIgIN0BhDWxdK_mDJK3DLpuZKBp1Jj8U3PIa0Jm58oqs2ULQMTjCYafAEdVdq8CSSHpLOvktk44HNGb04ftDzdrU/s1600/conf+gap+poster.jpg">Here's a bigger version of the poster that's easier to read</a>. And check out my <a href="http://rinkstats.blogspot.com/2013/07/why-nhls-new-conference-alignment-is.html">original post about my realignment work here</a>.<br />
<br />
<div class="separator" style="clear: both; text-align: center;">
<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEi-nTS2lzyeHdOCpZ8X9VGx6SzxJaM5IeSyVb03fqsKaDNikEUxaDgtIgIN0BhDWxdK_mDJK3DLpuZKBp1Jj8U3PIa0Jm58oqs2ULQMTjCYafAEdVdq8CSSHpLOvktk44HNGb04ftDzdrU/s1600/conf+gap+poster.jpg"><img border="0" height="480" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEi-nTS2lzyeHdOCpZ8X9VGx6SzxJaM5IeSyVb03fqsKaDNikEUxaDgtIgIN0BhDWxdK_mDJK3DLpuZKBp1Jj8U3PIa0Jm58oqs2ULQMTjCYafAEdVdq8CSSHpLOvktk44HNGb04ftDzdrU/s640/conf+gap+poster.jpg" width="640" /></a></div>
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<br /></div>
<br />Anonymoushttp://www.blogger.com/profile/06654463214049859090noreply@blogger.com0tag:blogger.com,1999:blog-8199936405783540709.post-55431406987992203862013-09-09T17:00:00.003-04:002014-07-30T23:25:15.633-04:00Should college football teams ever bring kickoffs out of the endzone?<a href="http://rinkstats.com/2013/09/should-college-football-teams-ever">Check out this post on the new version of Rink Stats.</a>
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The end of the summer was pretty busy for me, so I haven't
had time to do any posts on here. But I'm back now, although with a short post
about something that's not hockey related. Hopefully you'll still find it
interesting.</div>
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While watching college football with friends last weekend, I
was reminded of how frustrated I get when teams bring kickoffs out of the
endzone but don't have at least a 25 yard return. For anybody unfamiliar with
college football rules, any player who catches a kickoff in the endzone can
kneel down, and his team will start their drive on the 25 yard line (20 in the
NFL). The player also has the option to run the ball out of the endzone, and
his team starts their next drive where he is tackled.</div>
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<br /></div>
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The main question here is, should a kick returner ever bring
the ball out of the endzone, if he catches it there? If the average length of kickoff
returns that start in the endzone is at least 25 yards, then it probably makes
sense to run the ball out. If the average length is less than 25 yards, then he
probably should kneel down and take the 25 free yards. From some basic
analysis, I find some pretty compelling results that suggest that the latter strategy should be the dominant one. Specifically, I show that about two-thirds
of all kickoff returns that start in the endzone do not make it to the 25.</div>
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</div>
<a name='more'></a><br />
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To answer the question, I collected data for every kickoff
that occurred during the 2012 college football season (games featuring at least
one Division I team). This resulted in data from over 9100 kickoffs in over 850
games (there were a few data and HTML errors on ESPN's website, which meant I
had a couple missing games/kickoffs).</div>
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<br /></div>
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During last season, there were 5053 kickoffs that landed in
(or beyond) the endzone. Of these 3673 were touchbacks, either because the
kickoff returner caught the ball and knelt down or because the ball landed
behind the endzone. That leaves 1380 kickoffs in which a player caught the ball
in the endzone and opted to return it.</div>
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<br /></div>
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Of these 1380 kickoffs, the shortest return that occurred
was one yard, which happened twice. This likely resulted from a mishandled
catch. The longest returns were the 15 that resulted in a touchdown after a
return of more than 100 yards.</div>
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<br /></div>
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More important to the question at hand is the average kickoff
return length for balls caught in the endzone. For these 1380 kickoffs, the
mean ending point of the runs is the 23.77 yard line, and the median end point
is the 21 yard line. These two pieces of evidence suggest that players that
choose to return kicks out of the endzone are, more often than not, giving up
field position that they would have received had they taken the touchback in
the endzone.</div>
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<br /></div>
<div class="separator" style="clear: both; text-align: center;">
<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjQWgDgyxY4zY9lIYoU1Ieoa5TI2ZJleKSGrv89K9TjtdVCTI7ldNYGxH2Pw-0SXR3n1utUx43MnJ2Je437Abq6LCVxsGu_W61VKAt6_tXvJ_52ekOKqRYkayq0iEGWK7F2ckvclL_K1ZA/s1600/kickoff+returns.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="320" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjQWgDgyxY4zY9lIYoU1Ieoa5TI2ZJleKSGrv89K9TjtdVCTI7ldNYGxH2Pw-0SXR3n1utUx43MnJ2Je437Abq6LCVxsGu_W61VKAt6_tXvJ_52ekOKqRYkayq0iEGWK7F2ckvclL_K1ZA/s640/kickoff+returns.png" width="640" /></a></div>
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<br /></div>
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The graph above shows the distribution of how far these 1380
kickoffs went. The x-axis corresponds with the yard lines on a football field,
and the y-axis indicates how many of the 1380 kickoffs ended at each yard line.
The red horizontal line is placed just below the 25 yard line. Any runner that
is tackled to the left of the red line probably should have never run the ball
out of the endzone.</div>
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<br /></div>
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Before I collected the data and crunched the numbers, I
expected the find that (more often than not) kickoff returns starting in the
endzone don't reach the 25 yard line. I was pretty shocked to find that the
proportion of time the runner doesn't make it to the 25 yard line is 67%. Two
out of three kickoff returns that start in the endzone result in the ball
carrier conceding yards which he could have freely received had he not left the
endzone.</div>
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<br /></div>
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A few closing observations.
Touchbacks don't shift momentum in a game. If a team is trailing in the fourth
quarter, it might make sense to ignore the data and try to break a big run (maybe
even return one for a touchdown). The odds are still against them, but
desperate teams have to resort to desperate measures.</div>
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<br /></div>
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Another thing that I wasn't able to find data about is how
deep in the endzone the kick landed. The endzone is 10 yards deep, so it seems
reasonable to think that a kickoff caught one yard deep in the endzone is more
likely to be returned to the 25 than a kickoff caught 9 yards deep in the
endzone.Without those data, I can't say whether my conclusions are valid for
returns starting anywhere in the endzone, or whether my results are driven by
the fact that it's harder to get to the 25 if you started 9 yards deep in the
endzone. I don't think this is a huge concern though because kick returners rarely
return kicks that are caught more than 5 yards deep in the endzone. As a
result, my results are most likely driven by kicks that land only a few yards
into the endzone.</div>
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<br /></div>
<br />
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So what's the takeaway? I'd advise any college coach to
train his players to almost never return kicks that they catch in the endzone. "Never"
sounds like a stretch, since 33% of the time returning a kick actually pays
off, but there will always be players who ignore their coach's advice and bring
kickoffs out.</div>Anonymoushttp://www.blogger.com/profile/06654463214049859090noreply@blogger.com0tag:blogger.com,1999:blog-8199936405783540709.post-88822340326618191082013-07-21T12:35:00.003-04:002014-07-30T23:24:59.396-04:00Why the NHL's new conference alignment is unfair for Eastern teams<a href="http://rinkstats.com/2013/07/why-nhls-new-conference-alignment-is">Check out this post on the new version of Rink Stats.</a>
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On Friday the NHL released the 2013-2014 regular season
schedule. This season will be the first played under the new conference and
division alignment which sent Winnipeg west and Columbus and Detroit east. A
key aspect of the new alignment is that there is an imbalance in the number of
teams in the East (16) and in the West (14). In this post I'll discuss a paper
I wrote a couple months back (<a href="http://scholar.harvard.edu/pettigrew/pages/hockey-analytics">How the West will be Won: Using Monte Carlo Simulations to Estimate the Effects of NHL Realignment</a>). In the paper, I show
that because 8 teams make the playoffs from each conference, the new alignment
and playoff qualification rules unfairly disadvantage Eastern Conference teams.
</div>
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<br /></div>
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<b>Specifically, I'll
show that the 8<sup>th</sup> seed in the East will (on average) be 2 or 3
points better in the standings than the 8<sup>th</sup> seed in the West. And
I'll show that about 40% of the time, the 9<sup>th</sup> seed in the East would
have made the playoffs if they were in the West (compared to just 20% of the
time when the inverse is true).<o:p></o:p></b></div>
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<a name='more'></a><br />
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This research was my first foray into hockey analytics. Back
in March the NHL announced it had settled on a plan to realign the conference
and division structure. Starting this upcoming season, the NHL will have two
conferences, and each conference will feature two divisions. The Eastern
Conference will have 16 teams, and the Western Conference will have 14 teams.
Each conference will continue to feature an 8 team playoff, with the conference
winners meeting in the Stanley Cup Final.</div>
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<br /></div>
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It was this final feature of the realignment that caught my
attention. How is it that the NHL owners (especially in the East) agreed to a
plan in which Eastern teams have a 50% chance of making the playoffs, compared
57% among Western teams? Almost automatically, it has become harder to qualify
in the East than in the West. So this got me thinking about how this new
alignment will actually play out and whether or not it will actually be unfair.
I was specifically interested in what I call in the paper the "conference
gap," which is the number of end-of-season points by the 8<sup>th</sup>
seed in the East minus the points by the 8<sup>th</sup> seed in the West.</div>
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<br /></div>
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The obvious problem with learning about the conference gap
is that the NHL hasn't yet played a single game under these new rules, let
alone a whole season. So, being a good statistician who knows how to write
fancy R code, I decided to simulate full NHL seasons and then calculate the
conference gap. And not just 5 or 10 simulated seasons. I simulated 10,000 of
them.</div>
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The intuition behind my simulation was pretty
straightforward. To simulate one season, I randomly draw 30 numeric
values from a normal (bell-shaped) distribution. These 30 values correspond to
the underlying quality or ability of the 30 teams. Then I go through and
simulate all 1,230 games in the NHL schedule (adjusted appropriately to take
into account the new scheduling matrix). For each game, I draw a number from
two normal distributions (each centered at the value of two teams' underlying
ability). These two numbers can be thought of the amount of effort or skill the
two teams put forth during this game. The game is "won" by whichever
team drew the higher number for their game performance value. I also account for games going into overtime, which I
discuss this more thoroughly on page 12 of the paper.</div>
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<br /></div>
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After I've simulated all 1,230 games, I calculate the final
standings as well as the conference gap. Then as a point of comparison, I use the
same 30 underlying ability values to rerun the season, only this time I apply
the old schedule matrix, old alignment, and old playoff qualification rules. I
repeat all these steps 10,000 times (essentially simulating 10,000 seasons) to get a nice understanding of how big the
conference gap will be. In the paper, I go into more detail about how I tweaked
my algorithm, so that I don't end up with the best team having 150 points and the worst having 15. That discussion starts on page 16
of the <a href="http://scholar.harvard.edu/pettigrew/pages/hockey-analytics">paper</a>. It suffices to say though that you'd have a pretty tough time telling the difference between results from my simulations and the results from a real NHL season.</div>
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<br /></div>
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The graph below plots the conference gap for the 10,000
seasons simulated under the old and new alignment structures. The blue parts of
the graph correspond with the new rules, and the red parts correspond with the
old.</div>
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<br /></div>
<div class="separator" style="clear: both; text-align: center;">
<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjeiKfuUyghJeNlOfu0TBJVVlQ4ntPnCnP8jvDNxkIhIkLnxnP_OFjeBqm34bjHamtrmh_2Cvx551pqp_8ng0LloPDmnCwpZs_lCct0HtsYNMG3Zo02AozpwWCyl6aJgf-1PXQQYFXKiCY/s1600/conf_gap.tif" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjeiKfuUyghJeNlOfu0TBJVVlQ4ntPnCnP8jvDNxkIhIkLnxnP_OFjeBqm34bjHamtrmh_2Cvx551pqp_8ng0LloPDmnCwpZs_lCct0HtsYNMG3Zo02AozpwWCyl6aJgf-1PXQQYFXKiCY/s1600/conf_gap.tif" /></a></div>
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What you can see is that under the old rules the average
conference gap was 0.143 points in favor of the Western Conference, although
this value is not statistically significantly different from zero. Under the
new rules, however, the average conference gap is 2.76 points. <b><i>This
means that, on average, the 8<sup>th</sup> seed in the East had 2.76 more
points than the 8<sup>th</sup> seed in the West.</i></b></div>
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<br /></div>
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The graphs also contain the information of how often the
conference gap favored the East versus the West. <b><i>In the old alignment, 47% of
seasons had the better 8<sup>th</sup> seed in the West, and 46% of seasons had
an better Eastern 8<sup>th</sup>. In the new alignment, this difference gets
huge. 62% of the time, the East's 8 had a better record than the West's 8,
compared to just 32% of the time the inverse was true</i></b>. This means that
starting next year, we're about twice as likely to see a better Eastern 8<sup>th</sup>.
Under a fair set of rules in which your geographic location shouldn't affect
your chances of making the playoffs, these numbers should be 50/50.</div>
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<br /></div>
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<b><i>My simulations also show that 38% of the time, the 9<sup>th</sup> seed
in the East would have qualified for the playoffs if they had only been located
in the West</i></b>. The opposite, in which the 9<sup>th</sup> Western team
would have made the playoffs in the East, occurs only 21% of the time<b><i>. Even more striking, my
simulations suggest that 21% of the time the 10<sup>th</sup> (!) seed in the
East would make the playoffs if they were in the Western Conference.</i></b></div>
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<br /></div>
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I might do another post in the next couple days, detailing a
couple other interesting things that are in the <a href="http://scholar.harvard.edu/pettigrew/pages/hockey-analytics">paper</a>. But until then, here's
the takeaway... Expect that in about 62% of seasons, the 8<sup>th</sup> seed
in the East will have a better record than the 8<sup>th</sup> seed in the West.
And in 38% of seasons, the 9<sup>th</sup> seed in the East will have a better
record than the 8<sup>th</sup> seed in the West. And </div>Anonymoushttp://www.blogger.com/profile/06654463214049859090noreply@blogger.com7tag:blogger.com,1999:blog-8199936405783540709.post-50913562673716099452013-07-15T00:35:00.002-04:002014-07-30T23:24:39.613-04:00Should you shoot first or second in a shootout?<a href="http://rinkstats.com/2013/07/should-you-shoot-first-or-second-in">Check out this post on the new version of Rink Stats.</a>
<div class="MsoNormal">
I've always been interested in the strategy that goes into
shootouts in the NHL. Each coach must first choose three players to take the
shootout attempts for their team, and then they have to decide the ordering of
those players. In addition, the home team gets to decide whether to shoot first
or second. </div>
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<br /></div>
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80% of the time, the home team chooses to shoot first in the
shootout. In terms of strategy, this seems like the proper course of action. Somebody
better versed in economic game theory could probably prove this better than me,
but the basic intuition is based on the fact that the probability of scoring on
any shootout shot is less than 50%. If the team that shoots first scores, then the
other team's shooter probably feels more pressure to score. Likewise, if the
first team fails to score, the odds are still in that team's favor that the
shootout score will remain tied (since there's still less than 50% chance of
the second team to score).</div>
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<br /></div>
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In this post, I want to see whether the team that shoots
first actually wins more shootouts. By looking at the 900+ shootouts that have
happened in the NHL since 2007-2008, <b><i>I
find that there appears to be some evidence that shooting first gives you a
slightly better probability of winning. Somewhat surprisingly though, I also
find that teams tend to do worse in shootouts at home than on the road.</i><o:p></o:p></b></div>
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<a name='more'></a><br />
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In the 924 shootouts in my dataset, the most longest one
lasted for 13 rounds. The "Number with this many rounds" column of
the table below shows how many shootouts ended with as many rounds indicated on
the far left. The table also shows (in the "Cumulative Number" column)
the total number of shootouts that lasted at least as long as the round number
on the far left. </div>
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<table border="1" cellpadding="0" cellspacing="0" class="MsoTableGrid" style="border-collapse: collapse; border: none; mso-border-alt: solid windowtext .5pt; mso-padding-alt: 0in 5.4pt 0in 5.4pt; mso-yfti-tbllook: 1184; width: 523px;">
<tbody>
<tr>
<td style="border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 41.4pt;" valign="top" width="55">
<div class="MsoNormal" style="margin-bottom: 0.0001pt;">
Round</div>
</td>
<td style="border-left: none; border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 76.5pt;" valign="top" width="102">
<div align="center" class="MsoNormal" style="margin-bottom: 0.0001pt; text-align: center;">
Number with this many rounds</div>
</td>
<td style="border-left: none; border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 81.0pt;" valign="top" width="108">
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Number with at least this many rounds</div>
</td>
<td style="border-left: none; border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 112.5pt;" valign="top" width="150">
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Home team wins in shootouts with at
least this many rounds</div>
</td>
<td style="border-left: none; border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 81.0pt;" valign="top" width="108">
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Home team winning percentage</div>
</td>
</tr>
<tr>
<td style="border-top: none; border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 41.4pt;" valign="top" width="55">
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2</div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 76.5pt;" valign="top" width="102">
<div align="center" class="MsoNormal" style="margin-bottom: 0.0001pt; text-align: center;">
110</div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 81.0pt;" valign="top" width="108">
<div align="center" class="MsoNormal" style="margin-bottom: 0.0001pt; text-align: center;">
924</div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 112.5pt;" valign="top" width="150">
<div align="center" class="MsoNormal" style="margin-bottom: 0.0001pt; text-align: center;">
435</div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 81.0pt;" valign="top" width="108">
<div align="center" class="MsoNormal" style="margin-bottom: 0.0001pt; text-align: center;">
47.1%</div>
</td>
</tr>
<tr>
<td style="border-top: none; border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 41.4pt;" valign="top" width="55">
<div class="MsoNormal" style="margin-bottom: 0.0001pt;">
3</div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 76.5pt;" valign="top" width="102">
<div align="center" class="MsoNormal" style="margin-bottom: 0.0001pt; text-align: center;">
513</div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 81.0pt;" valign="top" width="108">
<div align="center" class="MsoNormal" style="margin-bottom: 0.0001pt; text-align: center;">
814</div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 112.5pt;" valign="top" width="150">
<div align="center" class="MsoNormal" style="margin-bottom: 0.0001pt; text-align: center;">
390</div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 81.0pt;" valign="top" width="108">
<div align="center" class="MsoNormal" style="margin-bottom: 0.0001pt; text-align: center;">
47.9%</div>
</td>
</tr>
<tr>
<td style="border-top: none; border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 41.4pt;" valign="top" width="55">
<div class="MsoNormal" style="margin-bottom: 0.0001pt;">
4</div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 76.5pt;" valign="top" width="102">
<div align="center" class="MsoNormal" style="margin-bottom: 0.0001pt; text-align: center;">
141</div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 81.0pt;" valign="top" width="108">
<div align="center" class="MsoNormal" style="margin-bottom: 0.0001pt; text-align: center;">
301</div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 112.5pt;" valign="top" width="150">
<div align="center" class="MsoNormal" style="margin-bottom: 0.0001pt; text-align: center;">
144</div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 81.0pt;" valign="top" width="108">
<div align="center" class="MsoNormal" style="margin-bottom: 0.0001pt; text-align: center;">
47.8%</div>
</td>
</tr>
<tr>
<td style="border-top: none; border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 41.4pt;" valign="top" width="55">
<div class="MsoNormal" style="margin-bottom: 0.0001pt;">
5</div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 76.5pt;" valign="top" width="102">
<div align="center" class="MsoNormal" style="margin-bottom: 0.0001pt; text-align: center;">
66</div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 81.0pt;" valign="top" width="108">
<div align="center" class="MsoNormal" style="margin-bottom: 0.0001pt; text-align: center;">
160</div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 112.5pt;" valign="top" width="150">
<div align="center" class="MsoNormal" style="margin-bottom: 0.0001pt; text-align: center;">
75</div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 81.0pt;" valign="top" width="108">
<div align="center" class="MsoNormal" style="margin-bottom: 0.0001pt; text-align: center;">
46.9%</div>
</td>
</tr>
<tr>
<td style="border-top: none; border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 41.4pt;" valign="top" width="55">
<div class="MsoNormal" style="margin-bottom: 0.0001pt;">
6</div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 76.5pt;" valign="top" width="102">
<div align="center" class="MsoNormal" style="margin-bottom: 0.0001pt; text-align: center;">
48</div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 81.0pt;" valign="top" width="108">
<div align="center" class="MsoNormal" style="margin-bottom: 0.0001pt; text-align: center;">
94</div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 112.5pt;" valign="top" width="150">
<div align="center" class="MsoNormal" style="margin-bottom: 0.0001pt; text-align: center;">
38</div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 81.0pt;" valign="top" width="108">
<div align="center" class="MsoNormal" style="margin-bottom: 0.0001pt; text-align: center;">
40.4%</div>
</td>
</tr>
<tr>
<td style="border-top: none; border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 41.4pt;" valign="top" width="55">
<div class="MsoNormal" style="margin-bottom: 0.0001pt;">
7</div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 76.5pt;" valign="top" width="102">
<div align="center" class="MsoNormal" style="margin-bottom: 0.0001pt; text-align: center;">
13</div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 81.0pt;" valign="top" width="108">
<div align="center" class="MsoNormal" style="margin-bottom: 0.0001pt; text-align: center;">
46</div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 112.5pt;" valign="top" width="150">
<div align="center" class="MsoNormal" style="margin-bottom: 0.0001pt; text-align: center;">
18</div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 81.0pt;" valign="top" width="108">
<div align="center" class="MsoNormal" style="margin-bottom: 0.0001pt; text-align: center;">
39.1%</div>
</td>
</tr>
<tr>
<td style="border-top: none; border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 41.4pt;" valign="top" width="55">
<div class="MsoNormal" style="margin-bottom: 0.0001pt;">
8</div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 76.5pt;" valign="top" width="102">
<div align="center" class="MsoNormal" style="margin-bottom: 0.0001pt; text-align: center;">
15</div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 81.0pt;" valign="top" width="108">
<div align="center" class="MsoNormal" style="margin-bottom: 0.0001pt; text-align: center;">
33</div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 112.5pt;" valign="top" width="150">
<div align="center" class="MsoNormal" style="margin-bottom: 0.0001pt; text-align: center;">
14</div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 81.0pt;" valign="top" width="108">
<div align="center" class="MsoNormal" style="margin-bottom: 0.0001pt; text-align: center;">
42.4%</div>
</td>
</tr>
<tr>
<td style="border-top: none; border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 41.4pt;" valign="top" width="55">
<div class="MsoNormal" style="margin-bottom: 0.0001pt;">
9</div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 76.5pt;" valign="top" width="102">
<div align="center" class="MsoNormal" style="margin-bottom: 0.0001pt; text-align: center;">
2</div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 81.0pt;" valign="top" width="108">
<div align="center" class="MsoNormal" style="margin-bottom: 0.0001pt; text-align: center;">
18</div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 112.5pt;" valign="top" width="150">
<div align="center" class="MsoNormal" style="margin-bottom: 0.0001pt; text-align: center;">
4</div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 81.0pt;" valign="top" width="108">
<div align="center" class="MsoNormal" style="margin-bottom: 0.0001pt; text-align: center;">
22.2%</div>
</td>
</tr>
<tr>
<td style="border-top: none; border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 41.4pt;" valign="top" width="55">
<div class="MsoNormal" style="margin-bottom: 0.0001pt;">
10</div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 76.5pt;" valign="top" width="102">
<div align="center" class="MsoNormal" style="margin-bottom: 0.0001pt; text-align: center;">
6</div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 81.0pt;" valign="top" width="108">
<div align="center" class="MsoNormal" style="margin-bottom: 0.0001pt; text-align: center;">
16</div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 112.5pt;" valign="top" width="150">
<div align="center" class="MsoNormal" style="margin-bottom: 0.0001pt; text-align: center;">
3</div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 81.0pt;" valign="top" width="108">
<div align="center" class="MsoNormal" style="margin-bottom: 0.0001pt; text-align: center;">
18.8%</div>
</td>
</tr>
<tr>
<td style="border-top: none; border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 41.4pt;" valign="top" width="55">
<div class="MsoNormal" style="margin-bottom: 0.0001pt;">
11</div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 76.5pt;" valign="top" width="102">
<div align="center" class="MsoNormal" style="margin-bottom: 0.0001pt; text-align: center;">
6</div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 81.0pt;" valign="top" width="108">
<div align="center" class="MsoNormal" style="margin-bottom: 0.0001pt; text-align: center;">
10</div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 112.5pt;" valign="top" width="150">
<div align="center" class="MsoNormal" style="margin-bottom: 0.0001pt; text-align: center;">
3</div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 81.0pt;" valign="top" width="108">
<div align="center" class="MsoNormal" style="margin-bottom: 0.0001pt; text-align: center;">
30.0%</div>
</td>
</tr>
<tr>
<td style="border-top: none; border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 41.4pt;" valign="top" width="55">
<div class="MsoNormal" style="margin-bottom: 0.0001pt;">
12</div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 76.5pt;" valign="top" width="102">
<div align="center" class="MsoNormal" style="margin-bottom: 0.0001pt; text-align: center;">
3</div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 81.0pt;" valign="top" width="108">
<div align="center" class="MsoNormal" style="margin-bottom: 0.0001pt; text-align: center;">
4</div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 112.5pt;" valign="top" width="150">
<div align="center" class="MsoNormal" style="margin-bottom: 0.0001pt; text-align: center;">
1</div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 81.0pt;" valign="top" width="108">
<div align="center" class="MsoNormal" style="margin-bottom: 0.0001pt; text-align: center;">
25.0%</div>
</td>
</tr>
<tr>
<td style="border-top: none; border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 41.4pt;" valign="top" width="55">
<div class="MsoNormal" style="margin-bottom: 0.0001pt;">
13</div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 76.5pt;" valign="top" width="102">
<div align="center" class="MsoNormal" style="margin-bottom: 0.0001pt; text-align: center;">
1</div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 81.0pt;" valign="top" width="108">
<div align="center" class="MsoNormal" style="margin-bottom: 0.0001pt; text-align: center;">
1</div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 112.5pt;" valign="top" width="150">
<div align="center" class="MsoNormal" style="margin-bottom: 0.0001pt; text-align: center;">
0</div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 81.0pt;" valign="top" width="108">
<div align="center" class="MsoNormal" style="margin-bottom: 0.0001pt; text-align: center;">
0.00%</div>
</td>
</tr>
</tbody></table>
<div class="MsoNormal">
<br /></div>
<div class="MsoNormal">
What jumps out from this table is that,<b> </b>regardless of how long the shootout lasts, the home team wins the game
less than half of the time.<b> </b>My best
guess for why this is the case is that home teams might be slightly more likely
to win the game during the 5 minute overtime period. Away teams might play more
conservatively in overtime, so that they can have a chance to win in the
shootout, where the final outcome is potentially more random.</div>
<div class="MsoNormal">
<br /></div>
<div class="MsoNormal">
I indicated above that the home team opts to go first in the
shootout roughly 80% of the time. This might lead you to jump to the conclusion
that the going first in the shootout is a disadvantage. What I hope to convince
you of now is that this conclusion is wrong.</div>
<div class="MsoNormal">
<br /></div>
<div class="MsoNormal">
Overall, the home team wins the shootout 47.1% of the time.
In games where they shoot first, the home team has a winning percentage of 47.8%.
When they opt to go second, however, the home team's winning percentage falls
to 44.0%. It's as if the home team is less likely to win a shootout in general,
but they're at an even bigger disadvantage when they choose to shoot second.</div>
<div class="MsoNormal">
<br /></div>
<div class="MsoNormal">
The graph below shows the winning percentages of the home
team, depending on whether they shot first or second in the shootout. There's
no need for me to talk specifically about the away team winning percentages,
since they're equal to one minus the home team percentage. Each pair of red and
blue bars corresponds with the percentages (and 95% confidence intervals)
calculated based on all shootouts that lasted at least as many rounds as
indicated on the bottom, x axis.</div>
<div class="MsoNormal">
<br /></div>
<div class="separator" style="clear: both; text-align: center;">
<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiwPzRdCGp7zCShv5Ysf7xMcWiHBJDIE5-hDuV3Ei9e1A7ei61nye8cDWZbKZlNFZQi1GsBt2hWh_kNA4iWpuzRKpy7YR8TZ86iXv517CG1V955c_QzYquvEmi2Pp4YsFa0aOjtDNViq_Y/s1600/homewinprobs.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiwPzRdCGp7zCShv5Ysf7xMcWiHBJDIE5-hDuV3Ei9e1A7ei61nye8cDWZbKZlNFZQi1GsBt2hWh_kNA4iWpuzRKpy7YR8TZ86iXv517CG1V955c_QzYquvEmi2Pp4YsFa0aOjtDNViq_Y/s1600/homewinprobs.png" /></a></div>
<div class="MsoNormal">
<br /></div>
<div class="MsoNormal">
<br /></div>
<div class="MsoNormal">
What we're looking for here are situations in which a
particular pair in which the red and blue bars do not overlap with each other.
This serves as a visual check for whether there is a statistically significant
difference in the home team winning percentage between when they shoot first or
second.</div>
<div class="MsoNormal">
<br /></div>
<div class="MsoNormal">
As is obvious, there's no instances in which a pair of bars
does not overlap. However, I'm not willing to completely strike out the
possibility that shooting first gives you a better chance at winning than
shooting second. The figure below is identical to the previous one, except that
I've zoomed in on the shootouts that lasted 6 or fewer rounds. I chose
eliminate the 7+ round shootouts from the graph because that half of the graph
is based on only a handful of data points, since only 13 shootouts lasted
longer than 6 rounds.</div>
<div class="MsoNormal">
<br /></div>
<div class="separator" style="clear: both; text-align: center;">
<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEj_B7Zwk9ShEVwHJxB46cC0wTbtJvkBE2H-Wf9p9_nz3E5QDyFw3hEY9JWTTcYRQjz9TnvH6KGHtTiyQaoPk_62ba79sMCMh47E0uyd0zbDs_exe6H5xaepyKnU5RWkKat9Ua3sW7JhyphenhyphennA/s1600/homewinprobs2.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEj_B7Zwk9ShEVwHJxB46cC0wTbtJvkBE2H-Wf9p9_nz3E5QDyFw3hEY9JWTTcYRQjz9TnvH6KGHtTiyQaoPk_62ba79sMCMh47E0uyd0zbDs_exe6H5xaepyKnU5RWkKat9Ua3sW7JhyphenhyphennA/s1600/homewinprobs2.png" /></a></div>
<div class="MsoNormal">
<o:p><br /></o:p></div>
<div class="MsoNormal">
<o:p><br /></o:p></div>
<div class="MsoNormal">
Looking at this zoomed in graph appears to tell a more interesting
story. In shootouts that are won in either two or three rounds, the confidence
interval pairs completely overlap with each other and all four bars cross 50%.
This indicates to me that it doesn't really seem to matter who went first or
second in shootouts that are done after 3 rounds.</div>
<div class="MsoNormal">
<br /></div>
<div class="MsoNormal">
But look at the bars for shootouts lasting 4, 5, or 6
rounds. To me, these seem in indicate that a team is worse off shooting second.
I say this because the blue bars seem to have a downward trajectory, the red
bars have a slight upward trajectory, and the amount of overlap for each pair
gets smaller and smaller. </div>
<div class="MsoNormal">
<br /></div>
<div class="MsoNormal">
Trying to get estimates for difference in winning
percentages based on shot order is pretty straightforward statistically. Based
on my data I estimate that, for all shootouts, opting to shoot first has an
effect on your winning percentage somewhere between increasing it by 11.8% and
decreasing it by 4.2%. This is a classic instance of failing to reject the
"null hypothesis" of there being no effect in shooting order. With
longer shootouts, however, I am able to reject the null hypothesis. In shootouts
lasting at least four rounds, I estimate that the team shooting first is
between 0.8% and 27.8% more likely to win than if they had shot second.</div>
<div class="MsoNormal">
<br /></div>
<div class="MsoNormal">
Here's the takeaway: If I were advising an NHL head coach, I'd
tell him that <b><i>if the shootout only lasts
three rounds (which it typically does) it probably doesn't matter whether you
choose to go first or second. But if it goes beyond the initial three rounds,
there's evidence that you're better off shooting first. So because of that, you
should always, always, always shoot first</i>.</b> At worst, it doesn't matter
whether you went first of second. At best, it gives you a strategic advantage
in late rounds of the shootout.</div>
<br />
<div class="MsoNormal">
<br /></div>Anonymoushttp://www.blogger.com/profile/06654463214049859090noreply@blogger.com0tag:blogger.com,1999:blog-8199936405783540709.post-4908326688476284192013-07-08T21:32:00.002-04:002014-07-30T23:24:18.071-04:00Are shorthanded goals momentum killers?<a href="http://rinkstats.com/2013/07/are-shorthanded-goals-momentum-killers">Check out this post on the new version of Rink Stats.</a>
<div class="MsoNormal">
Shorthanded goals are powerplay killers. You hear this all
the time when you watch hockey games. But how true is this conventional wisdom?
It certainly doesn't seem very common for a team to concede a shorthanded goal
and then quickly follow it with a powerplay goal of their own. But it's also
true that a majority of powerplays don't result in a goal, <i>regardless</i> of whether a SHG was conceded or not.</div>
<div class="MsoNormal">
<br /></div>
<div class="MsoNormal">
The question of how much SHGs kill a team's momentum on the
powerplay is one that I've always thought about. Below, I take a first crack at
answering the question. I show that having a SHG scored against you lowers your probability of scoring a PPG by about 10 percentage points. And early shorthanded goals have a bigger effect on a team's powerplay momentum that late ones.</div>
<div class="MsoNormal">
</div>
<a name='more'></a><br /><br />
<div class="MsoNormal">
<br /></div>
<div class="MsoNormal">
The graph below shows the probability of a team scoring a
powerplay goal, given that a certain number of seconds in the powerplay have
already passed without a PPG. The red line shows this probability for all 5 on
4 powerplays in which no shorthanded goal had been scored up until that time (or
perhaps was never scored). The blue line indicates the probability of getting a
powerplay goal, given that a shorthanded goal had already been scored at an
earlier time in the PP.</div>
<div class="MsoNormal">
<br /></div>
<div class="separator" style="clear: both; text-align: center;">
<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjqszX3vzqgVwExBJGcD3lP_6Gpe0idw29l-YCUHoteGAn3UO08sUxhSJ7vUQaFULjbHhzsPf8GKjE48cg-GmQGlI-YrbJjPTBt9tTEst2gUHDU-pC8LJ5ghKclR3PAsraLWYUDHCJeNzA/s1600/probabilitygraph.tif" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjqszX3vzqgVwExBJGcD3lP_6Gpe0idw29l-YCUHoteGAn3UO08sUxhSJ7vUQaFULjbHhzsPf8GKjE48cg-GmQGlI-YrbJjPTBt9tTEst2gUHDU-pC8LJ5ghKclR3PAsraLWYUDHCJeNzA/s1600/probabilitygraph.tif" /></a></div>
<div class="MsoNormal">
<br /></div>
<div class="MsoNormal">
<br /></div>
<div class="MsoNormal">
It's important for me to note that I'm only looking at penalties
that were called during a 5 on 5, and resulted in only one player being put in
the box for two minutes. I tried to be more comprehensive by looking at all
powerplays (including 5 on 3s, and 4 on 3s), but doing so was unbelievably
frustrating, to say the least. I also throw out any powerplays or goals that
occurred when one of the goals was empty. This left about 40,000 powerplays to
analyze over the past 6 NHL regular seasons.</div>
<div class="MsoNormal">
<br /></div>
<div class="MsoNormal">
<b>What stands out from
this graph is that it appears that shorthanded goals that come early in the
penalty seem to adversely affect the full strength team's probability of
capitalizing on the powerplay opportunity.</b> I say this because the blue line
is below the red one for about the first 45 seconds. After that time, the blue
line runs above the red one, although both have a similar downward trajectory
until the end of the 2 minutes of powerplay.</div>
<div class="MsoNormal">
<br /></div>
<div class="MsoNormal">
Because of the relatively low number of SHGs (only a few
hundred), the blue line is pretty choppy. In the rest of the post I'll use some
more sophisticated statistical methods to smooth out the relationship and more
concretely answer the question of whether giving up a SHG makes a team less
likely to score a PPG.</div>
<div class="MsoNormal">
<br /></div>
<div class="MsoNormal">
First I used logistic regression to look for a difference in
the goal scoring rate between penalties that featured a SHG and penalties that
did not. Logistic regression models the (natural log of the) odds of whether a
particular event occurred. In this case, the event I'm modeling (my dependent
variable) is whether or not each powerplay resulted in a powerplay goal. The
explanatory (independent variable) of interest is whether or not there was a
shorthanded goal scored during the penalty. The table below shows the results
from this regression.</div>
<div class="MsoNormal">
<br /></div>
<div class="MsoNormal">
</div>
<table border="1" cellpadding="0" cellspacing="0" class="MsoTableGrid" style="border-collapse: collapse; border: none; text-align: center;">
<tbody>
<tr>
<td style="border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 99.9pt;" valign="top" width="133">
<div class="MsoNormal" style="margin-bottom: 0.0001pt;">
<br /></div>
</td>
<td style="border-left: none; border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 1.0in;" valign="top" width="96">
<div class="MsoNormal" style="margin-bottom: 0.0001pt;">
Coefficient</div>
</td>
<td style="border-left: none; border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 81.0pt;" valign="top" width="108">
<div class="MsoNormal" style="margin-bottom: 0.0001pt;">
Standard error</div>
</td>
</tr>
<tr>
<td style="border-top: none; border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 99.9pt;" valign="top" width="133">
<div class="MsoNormal" style="margin-bottom: 0.0001pt; text-align: left;">
Intercept</div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 1.0in;" valign="top" width="96">
<div class="MsoNormal" style="margin-bottom: 0.0001pt;">
-1.66668*</div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 81.0pt;" valign="top" width="108">
<div class="MsoNormal" style="margin-bottom: 0.0001pt;">
0.01399</div>
</td>
</tr>
<tr>
<td style="border-top: none; border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 99.9pt;" valign="top" width="133">
<div class="MsoNormal" style="margin-bottom: 0.0001pt; text-align: left;">
Was there a SHG?</div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 1.0in;" valign="top" width="96">
<div class="MsoNormal" style="margin-bottom: 0.0001pt;">
-1.08237*</div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 81.0pt;" valign="top" width="108">
<div class="MsoNormal" style="margin-bottom: 0.0001pt;">
0.15792</div>
</td>
</tr>
</tbody></table>
<div class="MsoNormal">
<br /></div>
<div class="MsoNormal">
The results in the table indicate that there was a
statistically significant correlation between SHGs and PPGs, and that
correlation is in the direction we'd expect. That's to say, having a
shorthanded goal during a penalty significantly diminishes the probability of a
powerplay goal being scored during that penalty.</div>
<div class="MsoNormal">
<br /></div>
<div class="MsoNormal">
The coefficients in the table are not incredibly
informative, even to a trained eye. To deal with that, I used Monte Carlo
simulations to transform the results into a more meaningful metric<b>. The regression indicates that 5 on 4
penalties that do not feature a SHG result in a PPG about 15.88% of the time (with
a 95% confidence interval of [.1552, .1625]). In contrast when a SHG is scored,
the team on the powerplay only converts about 6.11% of the time (with a
confidence interval of [0.0449, 0.7981]). This 9 to 10 percentage point gap
seems to really suggest that SHGs really do kill powerplay momentum.</b></div>
<div class="MsoNormal">
<br /></div>
<div class="MsoNormal">
But this regression doesn't take into account the
information of when the shorthanded goal came during the powerplay. It could be
the case that early shorthanded goals may have a different effect on a team's
chances of scoring a PPG than late ones.</div>
<div class="MsoNormal">
<br /></div>
<div class="MsoNormal">
To account for this possibility I estimated 115 different
logistic regressions. All of these were set up in a similar fashion to the one
described above. The only difference is that the dataset used for each
regression had data points dropped if there had already been a powerplay goal
scored by that point in the penalty time. In other words, the 60<sup>th</sup>
regression I estimated included only penalties in which a PPG was not scored in
the first 60 seconds. I only did 115 regressions (instead of 120) because the
regression results from the final 5 seconds suffered from what is called
colinearity (akin a divide-by-zero problem, matrix algebra-style).</div>
<div class="MsoNormal">
<br /></div>
<div class="MsoNormal">
The results from these 115 regressions are shown in the
graph below. Each line represents the decrease in the probability of scoring a
PPG when a SHG had already been scored (similar to the 9% or 10% decrease
described above).</div>
<div class="MsoNormal">
<br /></div>
<div class="separator" style="clear: both; text-align: center;">
<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEitTVAd8No1NEJN_7eWI7b9p9ywp76a8Wnh7qvC8iSoOpk_1DtqFyk-qXx8eYdQGno8wbWBcOK4TimHVEvnOMizoxmux3u9zUOXLA4GOqaBkDYj4axZw8RfgIBjiPnJYdeng5hxMcaYNF0/s1600/modeledchange.tif" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEitTVAd8No1NEJN_7eWI7b9p9ywp76a8Wnh7qvC8iSoOpk_1DtqFyk-qXx8eYdQGno8wbWBcOK4TimHVEvnOMizoxmux3u9zUOXLA4GOqaBkDYj4axZw8RfgIBjiPnJYdeng5hxMcaYNF0/s1600/modeledchange.tif" /></a></div>
<div class="MsoNormal">
<br /></div>
<div class="MsoNormal">
<br /></div>
<div class="MsoNormal">
What's clear, and pretty fascinating to me, is that the
momentum-killing effect of a SHG only seems to apply when the shorty is scored
early in the penalty. The lines in red indicate that when I subset the data to
include only penalties in which a PPG had not yet been scored, the regression
results are statistically significant. The black lines indicate correlations
that are not statistically significant, so I have little certainty saying that
SHGs affect the probability of a PPG for those cases.</div>
<div class="MsoNormal">
<br /></div>
<div class="MsoNormal">
<b>The key takeaway from
the graph is that a SHG that is scored, say, 20 seconds into the powerplay
diminishes the chance of a PPG by about 10 percentage points, on average. A SHG
that is scored 90 seconds into the powerplay has almost a zero effect on the
probability of a PPG.</b> The reason for this probably accounted for by the
fact that a team that the longer a powerplay goes on, the lower the probability
of a PPG occurring, regardless of whether there's a SHG or not. Put another
way, the probability of scoring a PPG in the last 10 or 20 seconds of the penalty
is really low, for cases both with and without a prior SHG. Because these
probabilities are low, it doesn't seem that SHGs make you <i>less</i> likely to score a PPG.</div>
<div class="MsoNormal">
<br /></div>
<br />
<div class="MsoNormal">
So what has this told us about the effect of shorthanded
goals on powerplay success? On average, having a SHG against decreases your
chance of converting on the powerplay by about 10 percentage points. This
effect is biggest effect comes when the SHG comes early. So if you're going to
give up a SHG, do it late. Or just don't give one up at all. Or score your
powerplay goal really early and don't give the other team a chance to kill your
momentum by getting a shorty of their own.</div>Anonymoushttp://www.blogger.com/profile/06654463214049859090noreply@blogger.com0tag:blogger.com,1999:blog-8199936405783540709.post-32107899986145510142013-06-26T17:58:00.002-04:002014-07-30T23:23:37.190-04:00How unusual was the ending of Monday's Game 6?<a href="http://rinkstats.com/2013/06/how-unusual-was-ending-of-mondays-game-6">Check out this post on the new version of Rink Stats.</a>
<div class="MsoNormal">
As a follow up to <a href="http://rinkstats.blogspot.com/2013/06/the-blackhawks-cup-clincher-in.html">yesterday's post</a> on the latest Cup-winning
goals in history, today I'm going to look at little more at the craziness of
the end of Monday's game. Earlier today I was thinking about how often it is
that a team comes from behind to tie <i>and </i>win the game at the end of regulation,
like the Blackhawks did a couple nights ago. My inclination was that it can't
possibly be a common thing. So with my six seasons worth of regular season
play-by-play data I explored the question. Here's what I found:</div>
<div class="MsoNormal">
<br /></div>
<a name='more'></a><br />
<div class="MsoNormal">
The Hawk's game tying goal Monday came with 1:16 remaining in
the 3<sup>rd</sup>. For the purposes of this post, I (arbitrarily) decided to
look at what happens in the last 90 seconds of regulation. Out of the 6851
regular season games in my dataset since the 2007-2008 regular season (which is
missing a handful of games because of data issues on the NHL's website), 3896 were
either tied or within 1 goal in the last 90 seconds of regulation. Out of these
3896 games, 1603 were tied at some point during the last 90 seconds. </div>
<div class="MsoNormal">
<br /></div>
<div class="MsoNormal">
Additionally, 1873 of all the games (27.3%) featured a goal
scored in the final 90 seconds of the third. About 79% of the goals in these
games didn't impact the final outcome of the game in any way, either because
they were empty netters or they were garbage goals let in by a team ahead by
more than one goal. However, about one in five of these games had a goal that
did impact how the game ended, either by tying the score or putting one team
ahead.</div>
<div class="MsoNormal">
<br /></div>
<div class="MsoNormal">
Since 2007-2008, there have been 395 games with significant
goals in the last 90 seconds. 283 regular season games (4.13%) that had a game
tying goal that game in the final 90 seconds of regulation. And in those same
periods, there have been 115 games (1.68%) that had a game winning goal after
18:30 of the third.</div>
<div class="MsoNormal">
<br /></div>
<div class="MsoNormal">
But how often do we see a game tying <i>and</i> a game winning goal at the end of the third period, as we did
on Monday? The answer is not very much.</div>
<div class="MsoNormal">
<br /></div>
<div class="MsoNormal">
It's only happened three times in almost 7000 regular season
games. <a href="http://www.nhl.com/ice/recap.htm?id=2009020850">The first happened</a> on February 5, 2010, when Travis Zajac of the Devils
tied the score against the Maple Leafs with 44 seconds left, and Jay Pandolfo
won it for New Jersey 25 seconds later.</div>
<div class="MsoNormal">
<br /></div>
<div class="MsoNormal">
<a href="http://www.nhl.com/ice/recap.htm?id=2011020099">The second one</a> of these crazy games occurred on February 22,
2011. With the Senators down 3 to 2 to the Blue Jackets, Jason Spezza tied the
score at 19:24 of the third. Milan Michalek eventually won it with 5 seconds
left in regulation.</div>
<div class="MsoNormal">
<br /></div>
<div class="MsoNormal">
<a href="http://www.nhl.com/ice/recap.htm?id=2012020268">The third time</a> happened on February 24<sup>th</sup> of this
year, when Jerome Iginla of the Flames tied the score against the Coyotes with
1:23 remaining. The GWG was put in the net by Curtis Glencross 23 seconds
later.</div>
<div class="MsoNormal">
<br /></div>
<br />
<div class="MsoNormal">
Unlike Monday's game in Boston, all three of these
improbable wins came by the home team. They also all (obviously) came in
regular season situations that were substantially less pressure-filled than the
circumstance facing Chicago and Boston. All of this just goes to highlight the
fact that it's pretty unlikely that we'll see another end to a Finals game
similar to what we witnessed this week.</div>Anonymoushttp://www.blogger.com/profile/06654463214049859090noreply@blogger.com0tag:blogger.com,1999:blog-8199936405783540709.post-69015403401108960002013-06-25T11:30:00.002-04:002014-07-30T23:24:05.072-04:00The Blackhawk's Cup Clincher, in Perspective<a href="http://rinkstats.com/2013/06/the-blackhawks-cup-clincher-in">Check out this post on the new version of Rink Stats.</a>
<div class="MsoNormal">
Last night's Stanley Cup Final Game 6 will almost certainly
go down as having one of the most memorable in Cup history. But how does the
Blackhawks' comeback measure up against history? As you might guess, their game
tying goal with 1:16 left in the 3<sup>rd</sup> period is the latest GTG to
come in a Stanley Cup clinching game. Their game winning goal with :59 remaining
is the latest Stanley Cup winning goal to come before overtime. Here's the list
of the latest Cup clinching goals:</div>
<div class="MsoNormal">
</div>
<a name='more'></a><br /><br />
<table border="1" cellpadding="0" cellspacing="0" class="MsoTableGrid" style="border-collapse: collapse; border: none; mso-border-alt: solid windowtext .5pt; mso-padding-alt: 0in 5.4pt 0in 5.4pt; mso-yfti-tbllook: 1184;">
<tbody>
<tr>
<td style="border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 41.4pt;" valign="top" width="55">
<div align="center" class="MsoNormal" style="margin-bottom: 0.0001pt; text-align: center;">
<b>Year<o:p></o:p></b></div>
</td>
<td style="border-left: none; border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 37.75pt;" valign="top" width="50">
<div align="center" class="MsoNormal" style="margin-bottom: 0.0001pt; text-align: center;">
<b>Game<o:p></o:p></b></div>
</td>
<td style="border-left: none; border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 79.8pt;" valign="top" width="106">
<div align="center" class="MsoNormal" style="margin-bottom: 0.0001pt; text-align: center;">
<b>Cup
winner<o:p></o:p></b></div>
</td>
<td style="border-left: none; border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 79.8pt;" valign="top" width="106">
<div align="center" class="MsoNormal" style="margin-bottom: 0.0001pt; text-align: center;">
<b>Opponent<o:p></o:p></b></div>
</td>
<td style="border-left: none; border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 79.8pt;" valign="top" width="106">
<div align="center" class="MsoNormal" style="margin-bottom: 0.0001pt; text-align: center;">
<b>Period<o:p></o:p></b></div>
</td>
<td style="border-left: none; border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 79.8pt;" valign="top" width="106">
<div align="center" class="MsoNormal" style="margin-bottom: 0.0001pt; text-align: center;">
<b>Time
of GWG<o:p></o:p></b></div>
</td>
</tr>
<tr>
<td style="border-top: none; border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 41.4pt;" valign="top" width="55">
<div class="MsoNormal" style="margin-bottom: 0.0001pt;">
1999<o:p></o:p></div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 37.75pt;" valign="top" width="50">
<div class="MsoNormal" style="margin-bottom: 0.0001pt;">
6<o:p></o:p></div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 79.8pt;" valign="top" width="106">
<div class="MsoNormal" style="margin-bottom: 0.0001pt;">
Stars<o:p></o:p></div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 79.8pt;" valign="top" width="106">
<div class="MsoNormal" style="margin-bottom: 0.0001pt;">
Sabres<o:p></o:p></div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 79.8pt;" valign="top" width="106">
<div class="MsoNormal" style="margin-bottom: 0.0001pt;">
3OT<o:p></o:p></div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 79.8pt;" valign="top" width="106">
<div class="MsoNormal" style="margin-bottom: 0.0001pt;">
14:51<o:p></o:p></div>
</td>
</tr>
<tr>
<td style="border-top: none; border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 41.4pt;" valign="top" width="55">
<div class="MsoNormal" style="margin-bottom: 0.0001pt;">
1996<o:p></o:p></div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 37.75pt;" valign="top" width="50">
<div class="MsoNormal" style="margin-bottom: 0.0001pt;">
4<o:p></o:p></div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 79.8pt;" valign="top" width="106">
<div class="MsoNormal" style="margin-bottom: 0.0001pt;">
Avalanche<o:p></o:p></div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 79.8pt;" valign="top" width="106">
<div class="MsoNormal" style="margin-bottom: 0.0001pt;">
Panthers<o:p></o:p></div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 79.8pt;" valign="top" width="106">
<div class="MsoNormal" style="margin-bottom: 0.0001pt;">
3OT<o:p></o:p></div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 79.8pt;" valign="top" width="106">
<div class="MsoNormal" style="margin-bottom: 0.0001pt;">
4:31<o:p></o:p></div>
</td>
</tr>
<tr>
<td style="border-top: none; border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 41.4pt;" valign="top" width="55">
<div class="MsoNormal" style="margin-bottom: 0.0001pt;">
1934<o:p></o:p></div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 37.75pt;" valign="top" width="50">
<div class="MsoNormal" style="margin-bottom: 0.0001pt;">
4<o:p></o:p></div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 79.8pt;" valign="top" width="106">
<div class="MsoNormal" style="margin-bottom: 0.0001pt;">
Blackhawks<o:p></o:p></div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 79.8pt;" valign="top" width="106">
<div class="MsoNormal" style="margin-bottom: 0.0001pt;">
Red Wings<o:p></o:p></div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 79.8pt;" valign="top" width="106">
<div class="MsoNormal" style="margin-bottom: 0.0001pt;">
2OT<o:p></o:p></div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 79.8pt;" valign="top" width="106">
<div class="MsoNormal" style="margin-bottom: 0.0001pt;">
10:05<o:p></o:p></div>
</td>
</tr>
<tr>
<td style="border-top: none; border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 41.4pt;" valign="top" width="55">
<div class="MsoNormal" style="margin-bottom: 0.0001pt;">
1944<o:p></o:p></div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 37.75pt;" valign="top" width="50">
<div class="MsoNormal" style="margin-bottom: 0.0001pt;">
4<o:p></o:p></div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 79.8pt;" valign="top" width="106">
<div class="MsoNormal" style="margin-bottom: 0.0001pt;">
Canadiens<o:p></o:p></div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 79.8pt;" valign="top" width="106">
<div class="MsoNormal" style="margin-bottom: 0.0001pt;">
Blackhawks<o:p></o:p></div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 79.8pt;" valign="top" width="106">
<div class="MsoNormal" style="margin-bottom: 0.0001pt;">
OT<o:p></o:p></div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 79.8pt;" valign="top" width="106">
<div class="MsoNormal" style="margin-bottom: 0.0001pt;">
9:12<o:p></o:p></div>
</td>
</tr>
<tr>
<td style="border-top: none; border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 41.4pt;" valign="top" width="55">
<div class="MsoNormal" style="margin-bottom: 0.0001pt;">
1950<o:p></o:p></div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 37.75pt;" valign="top" width="50">
<div class="MsoNormal" style="margin-bottom: 0.0001pt;">
7<o:p></o:p></div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 79.8pt;" valign="top" width="106">
<div class="MsoNormal" style="margin-bottom: 0.0001pt;">
Red Wings<o:p></o:p></div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 79.8pt;" valign="top" width="106">
<div class="MsoNormal" style="margin-bottom: 0.0001pt;">
Rangers<o:p></o:p></div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 79.8pt;" valign="top" width="106">
<div class="MsoNormal" style="margin-bottom: 0.0001pt;">
2OT<o:p></o:p></div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 79.8pt;" valign="top" width="106">
<div class="MsoNormal" style="margin-bottom: 0.0001pt;">
8:31<o:p></o:p></div>
</td>
</tr>
<tr>
<td style="border-top: none; border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 41.4pt;" valign="top" width="55">
<div class="MsoNormal" style="margin-bottom: 0.0001pt;">
2000<o:p></o:p></div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 37.75pt;" valign="top" width="50">
<div class="MsoNormal" style="margin-bottom: 0.0001pt;">
6<o:p></o:p></div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 79.8pt;" valign="top" width="106">
<div class="MsoNormal" style="margin-bottom: 0.0001pt;">
Devils<o:p></o:p></div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 79.8pt;" valign="top" width="106">
<div class="MsoNormal" style="margin-bottom: 0.0001pt;">
Stars<o:p></o:p></div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 79.8pt;" valign="top" width="106">
<div class="MsoNormal" style="margin-bottom: 0.0001pt;">
2OT<o:p></o:p></div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 79.8pt;" valign="top" width="106">
<div class="MsoNormal" style="margin-bottom: 0.0001pt;">
8:20<o:p></o:p></div>
</td>
</tr>
<tr>
<td style="border-top: none; border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 41.4pt;" valign="top" width="55">
<div class="MsoNormal" style="margin-bottom: 0.0001pt;">
1933<o:p></o:p></div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 37.75pt;" valign="top" width="50">
<div class="MsoNormal" style="margin-bottom: 0.0001pt;">
4<o:p></o:p></div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 79.8pt;" valign="top" width="106">
<div class="MsoNormal" style="margin-bottom: 0.0001pt;">
Rangers<o:p></o:p></div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 79.8pt;" valign="top" width="106">
<div class="MsoNormal" style="margin-bottom: 0.0001pt;">
Maple Leafs<o:p></o:p></div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 79.8pt;" valign="top" width="106">
<div class="MsoNormal" style="margin-bottom: 0.0001pt;">
OT<o:p></o:p></div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 79.8pt;" valign="top" width="106">
<div class="MsoNormal" style="margin-bottom: 0.0001pt;">
7:34<o:p></o:p></div>
</td>
</tr>
<tr>
<td style="border-top: none; border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 41.4pt;" valign="top" width="55">
<div class="MsoNormal" style="margin-bottom: 0.0001pt;">
1980<o:p></o:p></div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 37.75pt;" valign="top" width="50">
<div class="MsoNormal" style="margin-bottom: 0.0001pt;">
6<o:p></o:p></div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 79.8pt;" valign="top" width="106">
<div class="MsoNormal" style="margin-bottom: 0.0001pt;">
Islanders<o:p></o:p></div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 79.8pt;" valign="top" width="106">
<div class="MsoNormal" style="margin-bottom: 0.0001pt;">
Flyers<o:p></o:p></div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 79.8pt;" valign="top" width="106">
<div class="MsoNormal" style="margin-bottom: 0.0001pt;">
OT<o:p></o:p></div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 79.8pt;" valign="top" width="106">
<div class="MsoNormal" style="margin-bottom: 0.0001pt;">
7:11<o:p></o:p></div>
</td>
</tr>
<tr>
<td style="border-top: none; border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 41.4pt;" valign="top" width="55">
<div class="MsoNormal" style="margin-bottom: 0.0001pt;">
1977<o:p></o:p></div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 37.75pt;" valign="top" width="50">
<div class="MsoNormal" style="margin-bottom: 0.0001pt;">
4<o:p></o:p></div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 79.8pt;" valign="top" width="106">
<div class="MsoNormal" style="margin-bottom: 0.0001pt;">
Canadiens<o:p></o:p></div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 79.8pt;" valign="top" width="106">
<div class="MsoNormal" style="margin-bottom: 0.0001pt;">
Bruins<o:p></o:p></div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 79.8pt;" valign="top" width="106">
<div class="MsoNormal" style="margin-bottom: 0.0001pt;">
OT<o:p></o:p></div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 79.8pt;" valign="top" width="106">
<div class="MsoNormal" style="margin-bottom: 0.0001pt;">
4:32<o:p></o:p></div>
</td>
</tr>
<tr>
<td style="border-top: none; border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 41.4pt;" valign="top" width="55">
<div class="MsoNormal" style="margin-bottom: 0.0001pt;">
1954<o:p></o:p></div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 37.75pt;" valign="top" width="50">
<div class="MsoNormal" style="margin-bottom: 0.0001pt;">
7<o:p></o:p></div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 79.8pt;" valign="top" width="106">
<div class="MsoNormal" style="margin-bottom: 0.0001pt;">
Red Wings<o:p></o:p></div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 79.8pt;" valign="top" width="106">
<div class="MsoNormal" style="margin-bottom: 0.0001pt;">
Canadiens<o:p></o:p></div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 79.8pt;" valign="top" width="106">
<div class="MsoNormal" style="margin-bottom: 0.0001pt;">
OT<o:p></o:p></div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 79.8pt;" valign="top" width="106">
<div class="MsoNormal" style="margin-bottom: 0.0001pt;">
4:29<o:p></o:p></div>
</td>
</tr>
<tr>
<td style="border-top: none; border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 41.4pt;" valign="top" width="55">
<div class="MsoNormal" style="margin-bottom: 0.0001pt;">
2010<o:p></o:p></div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 37.75pt;" valign="top" width="50">
<div class="MsoNormal" style="margin-bottom: 0.0001pt;">
6<o:p></o:p></div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 79.8pt;" valign="top" width="106">
<div class="MsoNormal" style="margin-bottom: 0.0001pt;">
Blackhawks<o:p></o:p></div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 79.8pt;" valign="top" width="106">
<div class="MsoNormal" style="margin-bottom: 0.0001pt;">
Flyers<o:p></o:p></div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 79.8pt;" valign="top" width="106">
<div class="MsoNormal" style="margin-bottom: 0.0001pt;">
OT<o:p></o:p></div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 79.8pt;" valign="top" width="106">
<div class="MsoNormal" style="margin-bottom: 0.0001pt;">
4:06<o:p></o:p></div>
</td>
</tr>
<tr>
<td style="border-top: none; border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 41.4pt;" valign="top" width="55">
<div class="MsoNormal" style="margin-bottom: 0.0001pt;">
1951<o:p></o:p></div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 37.75pt;" valign="top" width="50">
<div class="MsoNormal" style="margin-bottom: 0.0001pt;">
5<o:p></o:p></div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 79.8pt;" valign="top" width="106">
<div class="MsoNormal" style="margin-bottom: 0.0001pt;">
Maple Leafs<o:p></o:p></div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 79.8pt;" valign="top" width="106">
<div class="MsoNormal" style="margin-bottom: 0.0001pt;">
Canadiens<o:p></o:p></div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 79.8pt;" valign="top" width="106">
<div class="MsoNormal" style="margin-bottom: 0.0001pt;">
OT<o:p></o:p></div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 79.8pt;" valign="top" width="106">
<div class="MsoNormal" style="margin-bottom: 0.0001pt;">
2:53<o:p></o:p></div>
</td>
</tr>
<tr>
<td style="border-top: none; border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 41.4pt;" valign="top" width="55">
<div class="MsoNormal" style="margin-bottom: 0.0001pt;">
1966<o:p></o:p></div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 37.75pt;" valign="top" width="50">
<div class="MsoNormal" style="margin-bottom: 0.0001pt;">
6<o:p></o:p></div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 79.8pt;" valign="top" width="106">
<div class="MsoNormal" style="margin-bottom: 0.0001pt;">
Canadiens<o:p></o:p></div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 79.8pt;" valign="top" width="106">
<div class="MsoNormal" style="margin-bottom: 0.0001pt;">
Red Wings<o:p></o:p></div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 79.8pt;" valign="top" width="106">
<div class="MsoNormal" style="margin-bottom: 0.0001pt;">
OT<o:p></o:p></div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 79.8pt;" valign="top" width="106">
<div class="MsoNormal" style="margin-bottom: 0.0001pt;">
2:20<o:p></o:p></div>
</td>
</tr>
<tr>
<td style="border-top: none; border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 41.4pt;" valign="top" width="55">
<div class="MsoNormal" style="margin-bottom: 0.0001pt;">
1940<o:p></o:p></div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 37.75pt;" valign="top" width="50">
<div class="MsoNormal" style="margin-bottom: 0.0001pt;">
6<o:p></o:p></div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 79.8pt;" valign="top" width="106">
<div class="MsoNormal" style="margin-bottom: 0.0001pt;">
Rangers<o:p></o:p></div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 79.8pt;" valign="top" width="106">
<div class="MsoNormal" style="margin-bottom: 0.0001pt;">
Maple Leafs<o:p></o:p></div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 79.8pt;" valign="top" width="106">
<div class="MsoNormal" style="margin-bottom: 0.0001pt;">
OT<o:p></o:p></div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 79.8pt;" valign="top" width="106">
<div class="MsoNormal" style="margin-bottom: 0.0001pt;">
2:07<o:p></o:p></div>
</td>
</tr>
<tr>
<td style="border-top: none; border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 41.4pt;" valign="top" width="55">
<div class="MsoNormal" style="margin-bottom: 0.0001pt;">
1953<o:p></o:p></div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 37.75pt;" valign="top" width="50">
<div class="MsoNormal" style="margin-bottom: 0.0001pt;">
5<o:p></o:p></div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 79.8pt;" valign="top" width="106">
<div class="MsoNormal" style="margin-bottom: 0.0001pt;">
Canadiens<o:p></o:p></div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 79.8pt;" valign="top" width="106">
<div class="MsoNormal" style="margin-bottom: 0.0001pt;">
Bruins<o:p></o:p></div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 79.8pt;" valign="top" width="106">
<div class="MsoNormal" style="margin-bottom: 0.0001pt;">
OT<o:p></o:p></div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 79.8pt;" valign="top" width="106">
<div class="MsoNormal" style="margin-bottom: 0.0001pt;">
1:22<o:p></o:p></div>
</td>
</tr>
<tr>
<td style="border-top: none; border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 41.4pt;" valign="top" width="55">
<div class="MsoNormal" style="margin-bottom: 0.0001pt;">
1970<o:p></o:p></div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 37.75pt;" valign="top" width="50">
<div class="MsoNormal" style="margin-bottom: 0.0001pt;">
4<o:p></o:p></div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 79.8pt;" valign="top" width="106">
<div class="MsoNormal" style="margin-bottom: 0.0001pt;">
Bruins<o:p></o:p></div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 79.8pt;" valign="top" width="106">
<div class="MsoNormal" style="margin-bottom: 0.0001pt;">
Blues<o:p></o:p></div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 79.8pt;" valign="top" width="106">
<div class="MsoNormal" style="margin-bottom: 0.0001pt;">
OT<o:p></o:p></div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 79.8pt;" valign="top" width="106">
<div class="MsoNormal" style="margin-bottom: 0.0001pt;">
0:40<o:p></o:p></div>
</td>
</tr>
<tr>
<td style="border-top: none; border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 41.4pt;" valign="top" width="55">
<div class="MsoNormal" style="margin-bottom: 0.0001pt;">
<b>2013<o:p></o:p></b></div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 37.75pt;" valign="top" width="50">
<div class="MsoNormal" style="margin-bottom: 0.0001pt;">
<b>6<o:p></o:p></b></div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 79.8pt;" valign="top" width="106">
<div class="MsoNormal" style="margin-bottom: 0.0001pt;">
<b>Blackhawks<o:p></o:p></b></div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 79.8pt;" valign="top" width="106">
<div class="MsoNormal" style="margin-bottom: 0.0001pt;">
<b>Bruins<o:p></o:p></b></div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 79.8pt;" valign="top" width="106">
<div class="MsoNormal" style="margin-bottom: 0.0001pt;">
<b>3<o:p></o:p></b></div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 79.8pt;" valign="top" width="106">
<div class="MsoNormal" style="margin-bottom: 0.0001pt;">
<b>19:01<o:p></o:p></b></div>
</td>
</tr>
<tr>
<td style="border-top: none; border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 41.4pt;" valign="top" width="55">
<div class="MsoNormal" style="margin-bottom: 0.0001pt;">
1947<o:p></o:p></div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 37.75pt;" valign="top" width="50">
<div class="MsoNormal" style="margin-bottom: 0.0001pt;">
6<o:p></o:p></div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 79.8pt;" valign="top" width="106">
<div class="MsoNormal" style="margin-bottom: 0.0001pt;">
Maple Leafs<o:p></o:p></div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 79.8pt;" valign="top" width="106">
<div class="MsoNormal" style="margin-bottom: 0.0001pt;">
Canadiens<o:p></o:p></div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 79.8pt;" valign="top" width="106">
<div class="MsoNormal" style="margin-bottom: 0.0001pt;">
3<o:p></o:p></div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 79.8pt;" valign="top" width="106">
<div class="MsoNormal" style="margin-bottom: 0.0001pt;">
14:39<o:p></o:p></div>
</td>
</tr>
<tr>
<td style="border-top: none; border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 41.4pt;" valign="top" width="55">
<div class="MsoNormal" style="margin-bottom: 0.0001pt;">
1976<o:p></o:p></div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 37.75pt;" valign="top" width="50">
<div class="MsoNormal" style="margin-bottom: 0.0001pt;">
4<o:p></o:p></div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 79.8pt;" valign="top" width="106">
<div class="MsoNormal" style="margin-bottom: 0.0001pt;">
Canadiens<o:p></o:p></div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 79.8pt;" valign="top" width="106">
<div class="MsoNormal" style="margin-bottom: 0.0001pt;">
Flyers<o:p></o:p></div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 79.8pt;" valign="top" width="106">
<div class="MsoNormal" style="margin-bottom: 0.0001pt;">
3<o:p></o:p></div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 79.8pt;" valign="top" width="106">
<div class="MsoNormal" style="margin-bottom: 0.0001pt;">
14:18<o:p></o:p></div>
</td>
</tr>
<tr>
<td style="border-top: none; border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 41.4pt;" valign="top" width="55">
<div class="MsoNormal" style="margin-bottom: 0.0001pt;">
1962<o:p></o:p></div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 37.75pt;" valign="top" width="50">
<div class="MsoNormal" style="margin-bottom: 0.0001pt;">
6<o:p></o:p></div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 79.8pt;" valign="top" width="106">
<div class="MsoNormal" style="margin-bottom: 0.0001pt;">
Maple Leafs<o:p></o:p></div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 79.8pt;" valign="top" width="106">
<div class="MsoNormal" style="margin-bottom: 0.0001pt;">
Blackhawks<o:p></o:p></div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 79.8pt;" valign="top" width="106">
<div class="MsoNormal" style="margin-bottom: 0.0001pt;">
3<o:p></o:p></div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 79.8pt;" valign="top" width="106">
<div class="MsoNormal" style="margin-bottom: 0.0001pt;">
14:14<o:p></o:p></div>
</td>
</tr>
<tr>
<td style="border-top: none; border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 41.4pt;" valign="top" width="55">
<div class="MsoNormal" style="margin-bottom: 0.0001pt;">
1963<o:p></o:p></div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 37.75pt;" valign="top" width="50">
<div class="MsoNormal" style="margin-bottom: 0.0001pt;">
5<o:p></o:p></div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 79.8pt;" valign="top" width="106">
<div class="MsoNormal" style="margin-bottom: 0.0001pt;">
Maple Leafs<o:p></o:p></div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 79.8pt;" valign="top" width="106">
<div class="MsoNormal" style="margin-bottom: 0.0001pt;">
Red Wings<o:p></o:p></div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 79.8pt;" valign="top" width="106">
<div class="MsoNormal" style="margin-bottom: 0.0001pt;">
3<o:p></o:p></div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 79.8pt;" valign="top" width="106">
<div class="MsoNormal" style="margin-bottom: 0.0001pt;">
13:28<o:p></o:p></div>
</td>
</tr>
<tr>
<td style="border-top: none; border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 41.4pt;" valign="top" width="55">
<div class="MsoNormal" style="margin-bottom: 0.0001pt;">
1945<o:p></o:p></div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 37.75pt;" valign="top" width="50">
<div class="MsoNormal" style="margin-bottom: 0.0001pt;">
7<o:p></o:p></div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 79.8pt;" valign="top" width="106">
<div class="MsoNormal" style="margin-bottom: 0.0001pt;">
Maple Leafs<o:p></o:p></div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 79.8pt;" valign="top" width="106">
<div class="MsoNormal" style="margin-bottom: 0.0001pt;">
Red Wings<o:p></o:p></div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 79.8pt;" valign="top" width="106">
<div class="MsoNormal" style="margin-bottom: 0.0001pt;">
3<o:p></o:p></div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 79.8pt;" valign="top" width="106">
<div class="MsoNormal" style="margin-bottom: 0.0001pt;">
12:14<o:p></o:p></div>
</td>
</tr>
<tr>
<td style="border-top: none; border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 41.4pt;" valign="top" width="55">
<div class="MsoNormal" style="margin-bottom: 0.0001pt;">
1968<o:p></o:p></div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 37.75pt;" valign="top" width="50">
<div class="MsoNormal" style="margin-bottom: 0.0001pt;">
4<o:p></o:p></div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 79.8pt;" valign="top" width="106">
<div class="MsoNormal" style="margin-bottom: 0.0001pt;">
Canadiens<o:p></o:p></div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 79.8pt;" valign="top" width="106">
<div class="MsoNormal" style="margin-bottom: 0.0001pt;">
Blues<o:p></o:p></div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 79.8pt;" valign="top" width="106">
<div class="MsoNormal" style="margin-bottom: 0.0001pt;">
3<o:p></o:p></div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 79.8pt;" valign="top" width="106">
<div class="MsoNormal" style="margin-bottom: 0.0001pt;">
11:40<o:p></o:p></div>
</td>
</tr>
<tr>
<td style="border-top: none; border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 41.4pt;" valign="top" width="55">
<div class="MsoNormal" style="margin-bottom: 0.0001pt;">
1946<o:p></o:p></div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 37.75pt;" valign="top" width="50">
<div class="MsoNormal" style="margin-bottom: 0.0001pt;">
5<o:p></o:p></div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 79.8pt;" valign="top" width="106">
<div class="MsoNormal" style="margin-bottom: 0.0001pt;">
Canadiens<o:p></o:p></div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 79.8pt;" valign="top" width="106">
<div class="MsoNormal" style="margin-bottom: 0.0001pt;">
Bruins<o:p></o:p></div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 79.8pt;" valign="top" width="106">
<div class="MsoNormal" style="margin-bottom: 0.0001pt;">
3<o:p></o:p></div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 79.8pt;" valign="top" width="106">
<div class="MsoNormal" style="margin-bottom: 0.0001pt;">
11:06<o:p></o:p></div>
</td>
</tr>
<tr>
<td style="border-top: none; border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 41.4pt;" valign="top" width="55">
<div class="MsoNormal" style="margin-bottom: 0.0001pt;">
1989<o:p></o:p></div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 37.75pt;" valign="top" width="50">
<div class="MsoNormal" style="margin-bottom: 0.0001pt;">
6<o:p></o:p></div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 79.8pt;" valign="top" width="106">
<div class="MsoNormal" style="margin-bottom: 0.0001pt;">
Flames<o:p></o:p></div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 79.8pt;" valign="top" width="106">
<div class="MsoNormal" style="margin-bottom: 0.0001pt;">
Canadiens<o:p></o:p></div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 79.8pt;" valign="top" width="106">
<div class="MsoNormal" style="margin-bottom: 0.0001pt;">
3<o:p></o:p></div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 79.8pt;" valign="top" width="106">
<div class="MsoNormal" style="margin-bottom: 0.0001pt;">
11:02<o:p></o:p></div>
</td>
</tr>
<tr>
<td style="border-top: none; border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 41.4pt;" valign="top" width="55">
<div class="MsoNormal" style="margin-bottom: 0.0001pt;">
1986<o:p></o:p></div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 37.75pt;" valign="top" width="50">
<div class="MsoNormal" style="margin-bottom: 0.0001pt;">
5<o:p></o:p></div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 79.8pt;" valign="top" width="106">
<div class="MsoNormal" style="margin-bottom: 0.0001pt;">
Canadiens<o:p></o:p></div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 79.8pt;" valign="top" width="106">
<div class="MsoNormal" style="margin-bottom: 0.0001pt;">
Flames<o:p></o:p></div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 79.8pt;" valign="top" width="106">
<div class="MsoNormal" style="margin-bottom: 0.0001pt;">
3<o:p></o:p></div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 79.8pt;" valign="top" width="106">
<div class="MsoNormal" style="margin-bottom: 0.0001pt;">
10:30<o:p></o:p></div>
</td>
</tr>
</tbody></table>
<div class="MsoNormal">
<br /></div>
<div class="MsoNormal">
As you can see, last night's goal was the first time that a
team scored the Cup winning goal in the last 5 minutes of regulation. If we
narrow the list to include only Finals series that ended in game 6 or 7, we see
that last night was the 9<sup>th</sup> latest Cup winning goal since the modern
Finals began in 1927.</div>
<div class="MsoNormal">
<br /></div>
<table border="1" cellpadding="0" cellspacing="0" class="MsoTableGrid" style="border-collapse: collapse; border: none; mso-border-alt: solid windowtext .5pt; mso-padding-alt: 0in 5.4pt 0in 5.4pt; mso-yfti-tbllook: 1184;">
<tbody>
<tr>
<td style="border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 41.4pt;" valign="top" width="55">
<div align="center" class="MsoNormal" style="margin-bottom: 0.0001pt; text-align: center;">
<b>Year<o:p></o:p></b></div>
</td>
<td style="border-left: none; border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 37.75pt;" valign="top" width="50">
<div align="center" class="MsoNormal" style="margin-bottom: 0.0001pt; text-align: center;">
<b>Game<o:p></o:p></b></div>
</td>
<td style="border-left: none; border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 79.8pt;" valign="top" width="106">
<div align="center" class="MsoNormal" style="margin-bottom: 0.0001pt; text-align: center;">
<b>Cup
winner<o:p></o:p></b></div>
</td>
<td style="border-left: none; border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 79.8pt;" valign="top" width="106">
<div align="center" class="MsoNormal" style="margin-bottom: 0.0001pt; text-align: center;">
<b>Opponent<o:p></o:p></b></div>
</td>
<td style="border-left: none; border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 79.8pt;" valign="top" width="106">
<div align="center" class="MsoNormal" style="margin-bottom: 0.0001pt; text-align: center;">
<b>Period<o:p></o:p></b></div>
</td>
<td style="border-left: none; border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 79.8pt;" valign="top" width="106">
<div align="center" class="MsoNormal" style="margin-bottom: 0.0001pt; text-align: center;">
<b>Time
of GWG<o:p></o:p></b></div>
</td>
</tr>
<tr>
<td style="border-top: none; border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 41.4pt;" valign="top" width="55">
<div class="MsoNormal" style="margin-bottom: 0.0001pt;">
1999<o:p></o:p></div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 37.75pt;" valign="top" width="50">
<div class="MsoNormal" style="margin-bottom: 0.0001pt;">
6<o:p></o:p></div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 79.8pt;" valign="top" width="106">
<div class="MsoNormal" style="margin-bottom: 0.0001pt;">
Stars<o:p></o:p></div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 79.8pt;" valign="top" width="106">
<div class="MsoNormal" style="margin-bottom: 0.0001pt;">
Sabres<o:p></o:p></div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 79.8pt;" valign="top" width="106">
<div class="MsoNormal" style="margin-bottom: 0.0001pt;">
3OT<o:p></o:p></div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 79.8pt;" valign="top" width="106">
<div class="MsoNormal" style="margin-bottom: 0.0001pt;">
14:51<o:p></o:p></div>
</td>
</tr>
<tr>
<td style="border-top: none; border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 41.4pt;" valign="top" width="55">
<div class="MsoNormal" style="margin-bottom: 0.0001pt;">
1950<o:p></o:p></div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 37.75pt;" valign="top" width="50">
<div class="MsoNormal" style="margin-bottom: 0.0001pt;">
7<o:p></o:p></div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 79.8pt;" valign="top" width="106">
<div class="MsoNormal" style="margin-bottom: 0.0001pt;">
Red Wings<o:p></o:p></div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 79.8pt;" valign="top" width="106">
<div class="MsoNormal" style="margin-bottom: 0.0001pt;">
Rangers<o:p></o:p></div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 79.8pt;" valign="top" width="106">
<div class="MsoNormal" style="margin-bottom: 0.0001pt;">
2OT<o:p></o:p></div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 79.8pt;" valign="top" width="106">
<div class="MsoNormal" style="margin-bottom: 0.0001pt;">
8:31<o:p></o:p></div>
</td>
</tr>
<tr>
<td style="border-top: none; border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 41.4pt;" valign="top" width="55">
<div class="MsoNormal" style="margin-bottom: 0.0001pt;">
2000<o:p></o:p></div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 37.75pt;" valign="top" width="50">
<div class="MsoNormal" style="margin-bottom: 0.0001pt;">
6<o:p></o:p></div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 79.8pt;" valign="top" width="106">
<div class="MsoNormal" style="margin-bottom: 0.0001pt;">
Devils<o:p></o:p></div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 79.8pt;" valign="top" width="106">
<div class="MsoNormal" style="margin-bottom: 0.0001pt;">
Stars<o:p></o:p></div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 79.8pt;" valign="top" width="106">
<div class="MsoNormal" style="margin-bottom: 0.0001pt;">
2OT<o:p></o:p></div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 79.8pt;" valign="top" width="106">
<div class="MsoNormal" style="margin-bottom: 0.0001pt;">
8:20<o:p></o:p></div>
</td>
</tr>
<tr>
<td style="border-top: none; border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 41.4pt;" valign="top" width="55">
<div class="MsoNormal" style="margin-bottom: 0.0001pt;">
1980<o:p></o:p></div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 37.75pt;" valign="top" width="50">
<div class="MsoNormal" style="margin-bottom: 0.0001pt;">
6<o:p></o:p></div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 79.8pt;" valign="top" width="106">
<div class="MsoNormal" style="margin-bottom: 0.0001pt;">
Islanders<o:p></o:p></div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 79.8pt;" valign="top" width="106">
<div class="MsoNormal" style="margin-bottom: 0.0001pt;">
Flyers<o:p></o:p></div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 79.8pt;" valign="top" width="106">
<div class="MsoNormal" style="margin-bottom: 0.0001pt;">
OT<o:p></o:p></div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 79.8pt;" valign="top" width="106">
<div class="MsoNormal" style="margin-bottom: 0.0001pt;">
7:11<o:p></o:p></div>
</td>
</tr>
<tr>
<td style="border-top: none; border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 41.4pt;" valign="top" width="55">
<div class="MsoNormal" style="margin-bottom: 0.0001pt;">
1954<o:p></o:p></div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 37.75pt;" valign="top" width="50">
<div class="MsoNormal" style="margin-bottom: 0.0001pt;">
7<o:p></o:p></div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 79.8pt;" valign="top" width="106">
<div class="MsoNormal" style="margin-bottom: 0.0001pt;">
Red Wings<o:p></o:p></div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 79.8pt;" valign="top" width="106">
<div class="MsoNormal" style="margin-bottom: 0.0001pt;">
Canadiens<o:p></o:p></div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 79.8pt;" valign="top" width="106">
<div class="MsoNormal" style="margin-bottom: 0.0001pt;">
OT<o:p></o:p></div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 79.8pt;" valign="top" width="106">
<div class="MsoNormal" style="margin-bottom: 0.0001pt;">
4:29<o:p></o:p></div>
</td>
</tr>
<tr>
<td style="border-top: none; border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 41.4pt;" valign="top" width="55">
<div class="MsoNormal" style="margin-bottom: 0.0001pt;">
2010<o:p></o:p></div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 37.75pt;" valign="top" width="50">
<div class="MsoNormal" style="margin-bottom: 0.0001pt;">
6<o:p></o:p></div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 79.8pt;" valign="top" width="106">
<div class="MsoNormal" style="margin-bottom: 0.0001pt;">
Blackhawks<o:p></o:p></div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 79.8pt;" valign="top" width="106">
<div class="MsoNormal" style="margin-bottom: 0.0001pt;">
Flyers<o:p></o:p></div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 79.8pt;" valign="top" width="106">
<div class="MsoNormal" style="margin-bottom: 0.0001pt;">
OT<o:p></o:p></div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 79.8pt;" valign="top" width="106">
<div class="MsoNormal" style="margin-bottom: 0.0001pt;">
4:06<o:p></o:p></div>
</td>
</tr>
<tr>
<td style="border-top: none; border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 41.4pt;" valign="top" width="55">
<div class="MsoNormal" style="margin-bottom: 0.0001pt;">
1966<o:p></o:p></div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 37.75pt;" valign="top" width="50">
<div class="MsoNormal" style="margin-bottom: 0.0001pt;">
6<o:p></o:p></div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 79.8pt;" valign="top" width="106">
<div class="MsoNormal" style="margin-bottom: 0.0001pt;">
Canadiens<o:p></o:p></div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 79.8pt;" valign="top" width="106">
<div class="MsoNormal" style="margin-bottom: 0.0001pt;">
Red Wings<o:p></o:p></div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 79.8pt;" valign="top" width="106">
<div class="MsoNormal" style="margin-bottom: 0.0001pt;">
OT<o:p></o:p></div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 79.8pt;" valign="top" width="106">
<div class="MsoNormal" style="margin-bottom: 0.0001pt;">
2:20<o:p></o:p></div>
</td>
</tr>
<tr>
<td style="border-top: none; border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 41.4pt;" valign="top" width="55">
<div class="MsoNormal" style="margin-bottom: 0.0001pt;">
1940<o:p></o:p></div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 37.75pt;" valign="top" width="50">
<div class="MsoNormal" style="margin-bottom: 0.0001pt;">
6<o:p></o:p></div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 79.8pt;" valign="top" width="106">
<div class="MsoNormal" style="margin-bottom: 0.0001pt;">
Rangers<o:p></o:p></div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 79.8pt;" valign="top" width="106">
<div class="MsoNormal" style="margin-bottom: 0.0001pt;">
Maple Leafs<o:p></o:p></div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 79.8pt;" valign="top" width="106">
<div class="MsoNormal" style="margin-bottom: 0.0001pt;">
OT<o:p></o:p></div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 79.8pt;" valign="top" width="106">
<div class="MsoNormal" style="margin-bottom: 0.0001pt;">
2:07<o:p></o:p></div>
</td>
</tr>
<tr>
<td style="border-top: none; border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 41.4pt;" valign="top" width="55">
<div class="MsoNormal" style="margin-bottom: 0.0001pt;">
<b>2013<o:p></o:p></b></div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 37.75pt;" valign="top" width="50">
<div class="MsoNormal" style="margin-bottom: 0.0001pt;">
<b>6<o:p></o:p></b></div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 79.8pt;" valign="top" width="106">
<div class="MsoNormal" style="margin-bottom: 0.0001pt;">
<b>Blackhawks<o:p></o:p></b></div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 79.8pt;" valign="top" width="106">
<div class="MsoNormal" style="margin-bottom: 0.0001pt;">
<b>Bruins<o:p></o:p></b></div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 79.8pt;" valign="top" width="106">
<div class="MsoNormal" style="margin-bottom: 0.0001pt;">
<b>3<o:p></o:p></b></div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 79.8pt;" valign="top" width="106">
<div class="MsoNormal" style="margin-bottom: 0.0001pt;">
<b>19:01<o:p></o:p></b></div>
</td>
</tr>
</tbody></table>
<div class="MsoNormal">
<br /></div>
<br />
<div class="MsoNormal">
Certainly the most impressive aspect of last night's game
was that, not only did the Blackhawks win the game late, they tied it late
also. It's difficult to track down full box scores of games pre-1980s, so it's
hard to me to evaluate where that accomplishment fits in with history. But
suffice it to say, the Blackhawk's night last night will be remembered as one
of the craziest endings to a Stanley Cup Finals of all time.</div>Anonymoushttp://www.blogger.com/profile/06654463214049859090noreply@blogger.com0tag:blogger.com,1999:blog-8199936405783540709.post-21081114281178611532013-06-23T14:29:00.000-04:002014-07-30T23:23:14.502-04:00Hitters and Hittees in 2013<a href="http://rinkstats.com/2013/06/hitters-and-hittees-in-2013">Check out this post on the new version of Rink Stats.</a>
<div class="MsoNormal">
In Game 5 of the Stanley Cup Finals last night, the
Blackhawks came away with a 3-1 win over the Bruins. Chicago outshot Boston,
took fewer penalties, and won more faceoffs. But one interesting battle won by
the Bruins was in the number of hits delivered. Boston players were credited
with 53 hits, whereas Chicago only registered 22. Interestingly, Boston has
outhit Chicago (often by a large amount) in every game except Game 1, in which
Chicago has 61 hits to Boston's 59.</div>
<div class="MsoNormal">
<br /></div>
<div class="MsoNormal">
For each NHL game, you can find an event summary (<a href="http://www.nhl.com/scores/htmlreports/20122013/ES030415.HTM">like this one</a>)
which provides the total number of hits credited to each player. What these
summaries do not provide is the number of times each player is the recipient of
a hit from the other team. These hit-recipient data do exist, however. In this
post I'm interested in looking at which players received the most punishment in
the 2013 regular season, and whether there are distinct patterns which can teach us
about in-game strategies of teams and players.</div>
<div class="MsoNormal">
</div>
<a name='more'></a><br />
<br />
<h3>
Hitters and Hittees in 2013</h3>
<div class="MsoNormal">
Before looking at who got hit in 2013, I'll first give some
basic stats about who was doing the most hitting. The table below shows the top
ten players with the most hits in the lockout shortened 2013 season. The number
in parentheses is the averaged number of hits per game, based on the number of
games played by the player in 2013. As you can see, the more frequent hitters
are third and fourth line forwards who are commonly matched up against the top
line of the opposing team. What is also interesting is that there is only one
defenseman, Luke Schenn, in the top ten.</div>
<div class="MsoNormal">
<br /></div>
<table border="1" cellpadding="0" cellspacing="0" class="MsoTableGrid" style="border-collapse: collapse; border: none; mso-border-alt: solid windowtext .5pt; mso-padding-alt: 0in 5.4pt 0in 5.4pt; mso-yfti-tbllook: 1184;">
<tbody>
<tr>
<td style="border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 95.4pt;" valign="top" width="127"><div align="center" class="MsoNormal" style="margin-bottom: 0.0001pt; text-align: center;">
<b>Hits
given<o:p></o:p></b></div>
<div align="center" class="MsoNormal" style="margin-bottom: 0.0001pt; text-align: center;">
<b>(per
game played)<o:p></o:p></b></div>
</td>
<td style="border-left: none; border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 121.5pt;" valign="top" width="162"><div align="center" class="MsoNormal" style="margin-bottom: 0.0001pt; text-align: center;">
<b>Player
(Position)<o:p></o:p></b></div>
</td>
<td style="border-left: none; border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 81.0pt;" valign="top" width="108"><div align="center" class="MsoNormal" style="margin-bottom: 0.0001pt; text-align: center;">
<b>Team<o:p></o:p></b></div>
</td>
</tr>
<tr>
<td style="border-top: none; border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 95.4pt;" valign="top" width="127"><div class="MsoNormal" style="margin-bottom: 0.0001pt;">
234 (4.88)</div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 121.5pt;" valign="top" width="162"><div class="MsoNormal" style="margin-bottom: 0.0001pt;">
Matt Martin (L)</div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 81.0pt;" valign="top" width="108"><div class="MsoNormal" style="margin-bottom: 0.0001pt;">
Islanders</div>
</td>
</tr>
<tr>
<td style="border-top: none; border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 95.4pt;" valign="top" width="127"><div class="MsoNormal" style="margin-bottom: 0.0001pt;">
206 (4.29)</div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 121.5pt;" valign="top" width="162"><div class="MsoNormal" style="margin-bottom: 0.0001pt;">
Chris Neil (R)</div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 81.0pt;" valign="top" width="108"><div class="MsoNormal" style="margin-bottom: 0.0001pt;">
Senators</div>
</td>
</tr>
<tr>
<td style="border-top: none; border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 95.4pt;" valign="top" width="127"><div class="MsoNormal" style="margin-bottom: 0.0001pt;">
187 (3.90)</div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 121.5pt;" valign="top" width="162"><div class="MsoNormal" style="margin-bottom: 0.0001pt;">
Steve Ott (C)</div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 81.0pt;" valign="top" width="108"><div class="MsoNormal" style="margin-bottom: 0.0001pt;">
Sabres</div>
</td>
</tr>
<tr>
<td style="border-top: none; border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 95.4pt;" valign="top" width="127"><div class="MsoNormal" style="margin-bottom: 0.0001pt;">
187 (3.98)</div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 121.5pt;" valign="top" width="162"><div class="MsoNormal" style="margin-bottom: 0.0001pt;">
Luke Schenn (D)</div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 81.0pt;" valign="top" width="108"><div class="MsoNormal" style="margin-bottom: 0.0001pt;">
Flyers</div>
</td>
</tr>
<tr>
<td style="border-top: none; border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 95.4pt;" valign="top" width="127"><div class="MsoNormal" style="margin-bottom: 0.0001pt;">
176 (4.19)</div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 121.5pt;" valign="top" width="162"><div class="MsoNormal" style="margin-bottom: 0.0001pt;">
Leo Komarov (C)</div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 81.0pt;" valign="top" width="108"><div class="MsoNormal" style="margin-bottom: 0.0001pt;">
Maple Leafs</div>
</td>
</tr>
<tr>
<td style="border-top: none; border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 95.4pt;" valign="top" width="127"><div class="MsoNormal" style="margin-bottom: 0.0001pt;">
159 (3.38)</div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 121.5pt;" valign="top" width="162"><div class="MsoNormal" style="margin-bottom: 0.0001pt;">
Rich Clune (L)</div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 81.0pt;" valign="top" width="108"><div class="MsoNormal" style="margin-bottom: 0.0001pt;">
Predators</div>
</td>
</tr>
<tr>
<td style="border-top: none; border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 95.4pt;" valign="top" width="127"><div class="MsoNormal" style="margin-bottom: 0.0001pt;">
158 (3.29)</div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 121.5pt;" valign="top" width="162"><div class="MsoNormal" style="margin-bottom: 0.0001pt;">
David Backes (C)</div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 81.0pt;" valign="top" width="108"><div class="MsoNormal" style="margin-bottom: 0.0001pt;">
Blues</div>
</td>
</tr>
<tr>
<td style="border-top: none; border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 95.4pt;" valign="top" width="127"><div class="MsoNormal" style="margin-bottom: 0.0001pt;">
156 (3.39)</div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 121.5pt;" valign="top" width="162"><div class="MsoNormal" style="margin-bottom: 0.0001pt;">
Dustin Brown (R)</div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 81.0pt;" valign="top" width="108"><div class="MsoNormal" style="margin-bottom: 0.0001pt;">
Kings</div>
</td>
</tr>
<tr>
<td style="border-top: none; border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 95.4pt;" valign="top" width="127"><div class="MsoNormal" style="margin-bottom: 0.0001pt;">
155 (3.69)<o:p></o:p></div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 121.5pt;" valign="top" width="162"><div class="MsoNormal" style="margin-bottom: 0.0001pt;">
Cal Clutterbuck (R)<o:p></o:p></div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 81.0pt;" valign="top" width="108"><div class="MsoNormal" style="margin-bottom: 0.0001pt;">
Wild<o:p></o:p></div>
</td>
</tr>
<tr>
<td style="border-top: none; border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 95.4pt;" valign="top" width="127"><div class="MsoNormal" style="margin-bottom: 0.0001pt;">
155 (3.23)</div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 121.5pt;" valign="top" width="162"><div class="MsoNormal" style="margin-bottom: 0.0001pt;">
Kyle Clifford (L)</div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 81.0pt;" valign="top" width="108"><div class="MsoNormal" style="margin-bottom: 0.0001pt;">
Kings</div>
</td>
</tr>
</tbody></table>
<div class="MsoNormal">
<br /></div>
<div class="MsoNormal">
Perhaps even more interesting are the players who received
the most hits. The table below is similar to the previous one, except that the
numbers on the left are the number of hits received by each of these players,
rather than the number doled out.</div>
<div class="MsoNormal">
<br /></div>
<table border="1" cellpadding="0" cellspacing="0" class="MsoTableGrid" style="border-collapse: collapse; border: none; mso-border-alt: solid windowtext .5pt; mso-padding-alt: 0in 5.4pt 0in 5.4pt; mso-yfti-tbllook: 1184;">
<tbody>
<tr>
<td style="border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 95.4pt;" valign="top" width="127"><div align="center" class="MsoNormal" style="margin-bottom: 0.0001pt; text-align: center;">
<b>Hits
received<o:p></o:p></b></div>
<div align="center" class="MsoNormal" style="margin-bottom: 0.0001pt; text-align: center;">
<b>(per
game played)<o:p></o:p></b></div>
</td>
<td style="border-left: none; border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 121.5pt;" valign="top" width="162"><div align="center" class="MsoNormal" style="margin-bottom: 0.0001pt; text-align: center;">
<b>Player
(Position)<o:p></o:p></b></div>
</td>
<td style="border-left: none; border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 81.0pt;" valign="top" width="108"><div align="center" class="MsoNormal" style="margin-bottom: 0.0001pt; text-align: center;">
<b>Team<o:p></o:p></b></div>
</td>
</tr>
<tr>
<td style="border-top: none; border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 95.4pt;" valign="top" width="127"><div class="MsoNormal" style="margin-bottom: 0.0001pt;">
140 (2.92)<o:p></o:p></div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 121.5pt;" valign="top" width="162"><div class="MsoNormal" style="margin-bottom: 0.0001pt;">
Evander Kane (L)<o:p></o:p></div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 81.0pt;" valign="top" width="108"><div class="MsoNormal" style="margin-bottom: 0.0001pt;">
Jets<o:p></o:p></div>
</td>
</tr>
<tr>
<td style="border-top: none; border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 95.4pt;" valign="top" width="127"><div class="MsoNormal" style="margin-bottom: 0.0001pt;">
138 (3.07)<o:p></o:p></div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 121.5pt;" valign="top" width="162"><div class="MsoNormal" style="margin-bottom: 0.0001pt;">
Dennis Seidenberg (D)<o:p></o:p></div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 81.0pt;" valign="top" width="108"><div class="MsoNormal" style="margin-bottom: 0.0001pt;">
Bruins<o:p></o:p></div>
</td>
</tr>
<tr>
<td style="border-top: none; border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 95.4pt;" valign="top" width="127"><div class="MsoNormal" style="margin-bottom: 0.0001pt;">
133 (2.77)<o:p></o:p></div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 121.5pt;" valign="top" width="162"><div class="MsoNormal" style="margin-bottom: 0.0001pt;">
Stephane Robidas (D)<o:p></o:p></div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 81.0pt;" valign="top" width="108"><div class="MsoNormal" style="margin-bottom: 0.0001pt;">
Stars<o:p></o:p></div>
</td>
</tr>
<tr>
<td style="border-top: none; border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 95.4pt;" valign="top" width="127"><div class="MsoNormal" style="margin-bottom: 0.0001pt;">
126 (2.63)<o:p></o:p></div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 121.5pt;" valign="top" width="162"><div class="MsoNormal" style="margin-bottom: 0.0001pt;">
Andrew Shaw (R)<o:p></o:p></div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 81.0pt;" valign="top" width="108"><div class="MsoNormal" style="margin-bottom: 0.0001pt;">
Blackhawks<o:p></o:p></div>
</td>
</tr>
<tr>
<td style="border-top: none; border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 95.4pt;" valign="top" width="127"><div class="MsoNormal" style="margin-bottom: 0.0001pt;">
120 (2.50)<o:p></o:p></div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 121.5pt;" valign="top" width="162"><div class="MsoNormal" style="margin-bottom: 0.0001pt;">
Josh Gorges (D)<o:p></o:p></div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 81.0pt;" valign="top" width="108"><div class="MsoNormal" style="margin-bottom: 0.0001pt;">
Canadiens<o:p></o:p></div>
</td>
</tr>
<tr>
<td style="border-top: none; border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 95.4pt;" valign="top" width="127"><div class="MsoNormal" style="margin-bottom: 0.0001pt;">
116 (2.42)<o:p></o:p></div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 121.5pt;" valign="top" width="162"><div class="MsoNormal" style="margin-bottom: 0.0001pt;">
Trevor Lewis (C)<o:p></o:p></div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 81.0pt;" valign="top" width="108"><div class="MsoNormal" style="margin-bottom: 0.0001pt;">
Kings<o:p></o:p></div>
</td>
</tr>
<tr>
<td style="border-top: none; border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 95.4pt;" valign="top" width="127"><div class="MsoNormal" style="margin-bottom: 0.0001pt;">
115 (2.83)<o:p></o:p></div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 121.5pt;" valign="top" width="162"><div class="MsoNormal" style="margin-bottom: 0.0001pt;">
Luce Sbisa (D)<o:p></o:p></div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 81.0pt;" valign="top" width="108"><div class="MsoNormal" style="margin-bottom: 0.0001pt;">
Ducks<o:p></o:p></div>
</td>
</tr>
<tr>
<td style="border-top: none; border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 95.4pt;" valign="top" width="127"><div class="MsoNormal" style="margin-bottom: 0.0001pt;">
115 (2.40)<o:p></o:p></div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 121.5pt;" valign="top" width="162"><div class="MsoNormal" style="margin-bottom: 0.0001pt;">
David Clarkson (R)<o:p></o:p></div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 81.0pt;" valign="top" width="108"><div class="MsoNormal" style="margin-bottom: 0.0001pt;">
Devils<o:p></o:p></div>
</td>
</tr>
<tr>
<td style="border-top: none; border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 95.4pt;" valign="top" width="127"><div class="MsoNormal" style="margin-bottom: 0.0001pt;">
115 (3.03)<o:p></o:p></div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 121.5pt;" valign="top" width="162"><div class="MsoNormal" style="margin-bottom: 0.0001pt;">
Christopher Tanev (D)<o:p></o:p></div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 81.0pt;" valign="top" width="108"><div class="MsoNormal" style="margin-bottom: 0.0001pt;">
Canucks<o:p></o:p></div>
</td>
</tr>
<tr>
<td style="border-top: none; border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 95.4pt;" valign="top" width="127"><div class="MsoNormal" style="margin-bottom: 0.0001pt;">
114 (2.38)<o:p></o:p></div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 121.5pt;" valign="top" width="162"><div class="MsoNormal" style="margin-bottom: 0.0001pt;">
Johnn Oduya (D)<o:p></o:p></div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 81.0pt;" valign="top" width="108"><div class="MsoNormal" style="margin-bottom: 0.0001pt;">
Blackhawks<o:p></o:p></div>
</td>
</tr>
</tbody></table>
<div class="MsoNormal">
<br /></div>
<div class="MsoNormal">
The first thing that jumps out to me about this list is that
more than half of the players on it are defensemen. It would seem to me that
defensemen shouldn't be targeted to me hit, since they're less risk
offensively. But it could be that most hits occur during scrums for pucks on
the end-boards, and that defensemen often get caught up in these scrums. It
also is the case that defensemen play more minutes than forwards, so they have
more opportunities to be targeted. That, however, makes the earlier finding
that defensemen aren't usually the most prolific hitters even more curious. I
don't have the time-on-ice data collected yet, but once I do I'll be able to say
more accurately how many hits each player delivers and receives for each minute
played.</div>
<div class="MsoNormal">
<br /></div>
<h3>
Hittees by Team</h3>
<div class="MsoNormal">
<br /></div>
<table border="1" cellpadding="0" cellspacing="0" class="MsoTableGrid" style="border-collapse: collapse; border: none; mso-border-alt: solid windowtext .5pt; mso-padding-alt: 0in 5.4pt 0in 5.4pt; mso-yfti-tbllook: 1184;">
<tbody>
<tr>
<td style="border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 126.9pt;" valign="top" width="169"><div align="center" class="MsoNormal" style="margin-bottom: 0.0001pt; text-align: center;">
<b>Hits
received<o:p></o:p></b></div>
<div align="center" class="MsoNormal" style="margin-bottom: 0.0001pt; text-align: center;">
<b>(per
game played)<o:p></o:p></b></div>
</td>
<td style="border-left: none; border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 126.9pt;" valign="top" width="169"><div align="center" class="MsoNormal" style="margin-bottom: 0.0001pt; text-align: center;">
<b>Player
(Position)<o:p></o:p></b></div>
</td>
<td style="border-left: none; border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 120.6pt;" valign="top" width="161"><div align="center" class="MsoNormal" style="margin-bottom: 0.0001pt; text-align: center;">
<b>Team<o:p></o:p></b></div>
</td>
</tr>
<tr>
<td style="border-top: none; border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 126.9pt;" valign="top" width="169"><div class="MsoNormal" style="margin-bottom: 0.0001pt;">
115 (2.83)<o:p></o:p></div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 126.9pt;" valign="top" width="169"><div class="MsoNormal" style="margin-bottom: 0.0001pt;">
Luce Sbisa (D)<o:p></o:p></div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 120.6pt;" valign="top" width="161"><div class="MsoNormal" style="margin-bottom: 0.0001pt;">
Anaheim Ducks<o:p></o:p></div>
</td>
</tr>
<tr>
<td style="border-top: none; border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 126.9pt;" valign="top" width="169"><div class="MsoNormal" style="margin-bottom: 0.0001pt;">
138 (3.07)<o:p></o:p></div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 126.9pt;" valign="top" width="169"><div class="MsoNormal" style="margin-bottom: 0.0001pt;">
Dennis Seidenberg (D)<o:p></o:p></div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 120.6pt;" valign="top" width="161"><div class="MsoNormal" style="margin-bottom: 0.0001pt;">
Boston Bruins<o:p></o:p></div>
</td>
</tr>
<tr>
<td style="border-top: none; border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 126.9pt;" valign="top" width="169"><div class="MsoNormal" style="margin-bottom: 0.0001pt;">
75 (1.60)<o:p></o:p></div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 126.9pt;" valign="top" width="169"><div class="MsoNormal" style="margin-bottom: 0.0001pt;">
Christian Ehrhoff (D)<o:p></o:p></div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 120.6pt;" valign="top" width="161"><div class="MsoNormal" style="margin-bottom: 0.0001pt;">
Buffalo Sabres<o:p></o:p></div>
</td>
</tr>
<tr>
<td style="border-top: none; border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 126.9pt;" valign="top" width="169"><div class="MsoNormal" style="margin-bottom: 0.0001pt;">
94 (2.00)<o:p></o:p></div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 126.9pt;" valign="top" width="169"><div class="MsoNormal" style="margin-bottom: 0.0001pt;">
Mark Giordano (D)<o:p></o:p></div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 120.6pt;" valign="top" width="161"><div class="MsoNormal" style="margin-bottom: 0.0001pt;">
Calgary Flames<o:p></o:p></div>
</td>
</tr>
<tr>
<td style="border-top: none; border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 126.9pt;" valign="top" width="169"><div class="MsoNormal" style="margin-bottom: 0.0001pt;">
97 (2.02)<o:p></o:p></div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 126.9pt;" valign="top" width="169"><div class="MsoNormal" style="margin-bottom: 0.0001pt;">
Jiri Tlusty (L)<o:p></o:p></div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 120.6pt;" valign="top" width="161"><div class="MsoNormal" style="margin-bottom: 0.0001pt;">
Carolina Hurricanes<o:p></o:p></div>
</td>
</tr>
<tr>
<td style="border-top: none; border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 126.9pt;" valign="top" width="169"><div class="MsoNormal" style="margin-bottom: 0.0001pt;">
126 (2.63)<o:p></o:p></div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 126.9pt;" valign="top" width="169"><div class="MsoNormal" style="margin-bottom: 0.0001pt;">
Andrew Shaw (R)<o:p></o:p></div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 120.6pt;" valign="top" width="161"><div class="MsoNormal" style="margin-bottom: 0.0001pt;">
Chicago Blackhawks<o:p></o:p></div>
</td>
</tr>
<tr>
<td style="border-top: none; border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 126.9pt;" valign="top" width="169"><div class="MsoNormal" style="margin-bottom: 0.0001pt;">
71 (1.54)<o:p></o:p></div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 126.9pt;" valign="top" width="169"><div class="MsoNormal" style="margin-bottom: 0.0001pt;">
Jan Hejda (D)<o:p></o:p></div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 120.6pt;" valign="top" width="161"><div class="MsoNormal" style="margin-bottom: 0.0001pt;">
Colorado Avalanche<o:p></o:p></div>
</td>
</tr>
<tr>
<td style="border-top: none; border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 126.9pt;" valign="top" width="169"><div class="MsoNormal" style="margin-bottom: 0.0001pt;">
103 (2.15)<o:p></o:p></div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 126.9pt;" valign="top" width="169"><div class="MsoNormal" style="margin-bottom: 0.0001pt;">
Fedor Tyutin (D)<o:p></o:p></div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 120.6pt;" valign="top" width="161"><div class="MsoNormal" style="margin-bottom: 0.0001pt;">
Columbus Blue Jackets<o:p></o:p></div>
</td>
</tr>
<tr>
<td style="border-top: none; border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 126.9pt;" valign="top" width="169"><div class="MsoNormal" style="margin-bottom: 0.0001pt;">
133 (2.77)<o:p></o:p></div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 126.9pt;" valign="top" width="169"><div class="MsoNormal" style="margin-bottom: 0.0001pt;">
Stephane Robidas (D)<o:p></o:p></div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 120.6pt;" valign="top" width="161"><div class="MsoNormal" style="margin-bottom: 0.0001pt;">
Dallas Stars<o:p></o:p></div>
</td>
</tr>
<tr>
<td style="border-top: none; border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 126.9pt;" valign="top" width="169"><div class="MsoNormal" style="margin-bottom: 0.0001pt;">
86 (1.79)<o:p></o:p></div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 126.9pt;" valign="top" width="169"><div class="MsoNormal" style="margin-bottom: 0.0001pt;">
Brendan Smith (D)<o:p></o:p></div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 120.6pt;" valign="top" width="161"><div class="MsoNormal" style="margin-bottom: 0.0001pt;">
Detroit Red Wings<o:p></o:p></div>
</td>
</tr>
<tr>
<td style="border-top: none; border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 126.9pt;" valign="top" width="169"><div class="MsoNormal" style="margin-bottom: 0.0001pt;">
93 (2.07)<o:p></o:p></div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 126.9pt;" valign="top" width="169"><div class="MsoNormal" style="margin-bottom: 0.0001pt;">
Taylor Hall (L)<o:p></o:p></div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 120.6pt;" valign="top" width="161"><div class="MsoNormal" style="margin-bottom: 0.0001pt;">
Edmonton Oilers<o:p></o:p></div>
</td>
</tr>
<tr>
<td style="border-top: none; border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 126.9pt;" valign="top" width="169"><div class="MsoNormal" style="margin-bottom: 0.0001pt;">
112 (3.5)<o:p></o:p></div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 126.9pt;" valign="top" width="169"><div class="MsoNormal" style="margin-bottom: 0.0001pt;">
Erik Gudbranson (D)<o:p></o:p></div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 120.6pt;" valign="top" width="161"><div class="MsoNormal" style="margin-bottom: 0.0001pt;">
Florida Panthers<o:p></o:p></div>
</td>
</tr>
<tr>
<td style="border-top: none; border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 126.9pt;" valign="top" width="169"><div class="MsoNormal" style="margin-bottom: 0.0001pt;">
116 (2.42)<o:p></o:p></div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 126.9pt;" valign="top" width="169"><div class="MsoNormal" style="margin-bottom: 0.0001pt;">
Trevor Lewis (C)<o:p></o:p></div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 120.6pt;" valign="top" width="161"><div class="MsoNormal" style="margin-bottom: 0.0001pt;">
Los Angeles Kings<o:p></o:p></div>
</td>
</tr>
<tr>
<td style="border-top: none; border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 126.9pt;" valign="top" width="169"><div class="MsoNormal" style="margin-bottom: 0.0001pt;">
85 (1.77)<o:p></o:p></div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 126.9pt;" valign="top" width="169"><div class="MsoNormal" style="margin-bottom: 0.0001pt;">
Zach Parise (C)<o:p></o:p></div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 120.6pt;" valign="top" width="161"><div class="MsoNormal" style="margin-bottom: 0.0001pt;">
Minnesota Wild<o:p></o:p></div>
</td>
</tr>
<tr>
<td style="border-top: none; border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 126.9pt;" valign="top" width="169"><div class="MsoNormal" style="margin-bottom: 0.0001pt;">
120 (2.50)<o:p></o:p></div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 126.9pt;" valign="top" width="169"><div class="MsoNormal" style="margin-bottom: 0.0001pt;">
Josh Gorges (D)<o:p></o:p></div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 120.6pt;" valign="top" width="161"><div class="MsoNormal" style="margin-bottom: 0.0001pt;">
Montreal Canadiens<o:p></o:p></div>
</td>
</tr>
<tr>
<td style="border-top: none; border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 126.9pt;" valign="top" width="169"><div class="MsoNormal" style="margin-bottom: 0.0001pt;">
88 (1.83)<o:p></o:p></div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 126.9pt;" valign="top" width="169"><div class="MsoNormal" style="margin-bottom: 0.0001pt;">
Roman Josi (D)<o:p></o:p></div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 120.6pt;" valign="top" width="161"><div class="MsoNormal" style="margin-bottom: 0.0001pt;">
Nashville Predators<o:p></o:p></div>
</td>
</tr>
<tr>
<td style="border-top: none; border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 126.9pt;" valign="top" width="169"><div class="MsoNormal" style="margin-bottom: 0.0001pt;">
115 (2.40)<o:p></o:p></div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 126.9pt;" valign="top" width="169"><div class="MsoNormal" style="margin-bottom: 0.0001pt;">
David Clarkson (R)<o:p></o:p></div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 120.6pt;" valign="top" width="161"><div class="MsoNormal" style="margin-bottom: 0.0001pt;">
New Jersey Devils<o:p></o:p></div>
</td>
</tr>
<tr>
<td style="border-top: none; border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 126.9pt;" valign="top" width="169"><div class="MsoNormal" style="margin-bottom: 0.0001pt;">
104 (2.17)<o:p></o:p></div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 126.9pt;" valign="top" width="169"><div class="MsoNormal" style="margin-bottom: 0.0001pt;">
Kyle Okposo (R)<o:p></o:p></div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 120.6pt;" valign="top" width="161"><div class="MsoNormal" style="margin-bottom: 0.0001pt;">
New York Islanders<o:p></o:p></div>
</td>
</tr>
<tr>
<td style="border-top: none; border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 126.9pt;" valign="top" width="169"><div class="MsoNormal" style="margin-bottom: 0.0001pt;">
107 (2.23)<o:p></o:p></div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 126.9pt;" valign="top" width="169"><div class="MsoNormal" style="margin-bottom: 0.0001pt;">
Anton Stralman (D)<o:p></o:p></div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 120.6pt;" valign="top" width="161"><div class="MsoNormal" style="margin-bottom: 0.0001pt;">
New York Rangers<o:p></o:p></div>
</td>
</tr>
<tr>
<td style="border-top: none; border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 126.9pt;" valign="top" width="169"><div class="MsoNormal" style="margin-bottom: 0.0001pt;">
111 (2.31)<o:p></o:p></div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 126.9pt;" valign="top" width="169"><div class="MsoNormal" style="margin-bottom: 0.0001pt;">
Chris Phillips (D)<o:p></o:p></div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 120.6pt;" valign="top" width="161"><div class="MsoNormal" style="margin-bottom: 0.0001pt;">
Ottawa Senators<o:p></o:p></div>
</td>
</tr>
<tr>
<td style="border-top: none; border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 126.9pt;" valign="top" width="169"><div class="MsoNormal" style="margin-bottom: 0.0001pt;">
111 (2.36)<o:p></o:p></div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 126.9pt;" valign="top" width="169"><div class="MsoNormal" style="margin-bottom: 0.0001pt;">
Luke Schenn (D)<o:p></o:p></div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 120.6pt;" valign="top" width="161"><div class="MsoNormal" style="margin-bottom: 0.0001pt;">
Philadelphia Flyers<o:p></o:p></div>
</td>
</tr>
<tr>
<td style="border-top: none; border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 126.9pt;" valign="top" width="169"><div class="MsoNormal" style="margin-bottom: 0.0001pt;">
85 (2.79)<o:p></o:p></div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 126.9pt;" valign="top" width="169"><div class="MsoNormal" style="margin-bottom: 0.0001pt;">
Zbynek Michalek (D)<o:p></o:p></div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 120.6pt;" valign="top" width="161"><div class="MsoNormal" style="margin-bottom: 0.0001pt;">
Phoenix Coyotes<o:p></o:p></div>
</td>
</tr>
<tr>
<td style="border-top: none; border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 126.9pt;" valign="top" width="169"><div class="MsoNormal" style="margin-bottom: 0.0001pt;">
77 (1.67)<o:p></o:p></div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 126.9pt;" valign="top" width="169"><div class="MsoNormal" style="margin-bottom: 0.0001pt;">
Tyler Kennedy (L)<o:p></o:p></div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 120.6pt;" valign="top" width="161"><div class="MsoNormal" style="margin-bottom: 0.0001pt;">
Pittsburgh Penguins<o:p></o:p></div>
</td>
</tr>
<tr>
<td style="border-top: none; border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 126.9pt;" valign="top" width="169"><div class="MsoNormal" style="margin-bottom: 0.0001pt;">
114 (2.38)</div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 126.9pt;" valign="top" width="169"><div class="MsoNormal" style="margin-bottom: 0.0001pt;">
Brad Stuart (D)</div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 120.6pt;" valign="top" width="161"><div class="MsoNormal" style="margin-bottom: 0.0001pt;">
San Jose Sharks<o:p></o:p></div>
</td>
</tr>
<tr>
<td style="border-top: none; border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 126.9pt;" valign="top" width="169"><div class="MsoNormal" style="margin-bottom: 0.0001pt;">
79 (1.68)</div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 126.9pt;" valign="top" width="169"><div class="MsoNormal" style="margin-bottom: 0.0001pt;">
Alex Pietrangelo (D)</div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 120.6pt;" valign="top" width="161"><div class="MsoNormal" style="margin-bottom: 0.0001pt;">
St. Louis Blues<o:p></o:p></div>
</td>
</tr>
<tr>
<td style="border-top: none; border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 126.9pt;" valign="top" width="169"><div class="MsoNormal" style="margin-bottom: 0.0001pt;">
86 (2.00)</div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 126.9pt;" valign="top" width="169"><div class="MsoNormal" style="margin-bottom: 0.0001pt;">
Tom Pyatt (C)</div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 120.6pt;" valign="top" width="161"><div class="MsoNormal" style="margin-bottom: 0.0001pt;">
Tampa Bay Lightning<o:p></o:p></div>
</td>
</tr>
<tr>
<td style="border-top: none; border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 126.9pt;" valign="top" width="169"><div class="MsoNormal" style="margin-bottom: 0.0001pt;">
105 (2.33)</div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 126.9pt;" valign="top" width="169"><div class="MsoNormal" style="margin-bottom: 0.0001pt;">
Mark Fraser (D)</div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 120.6pt;" valign="top" width="161"><div class="MsoNormal" style="margin-bottom: 0.0001pt;">
Toronto Maple Leafs<o:p></o:p></div>
</td>
</tr>
<tr>
<td style="border-top: none; border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 126.9pt;" valign="top" width="169"><div class="MsoNormal" style="margin-bottom: 0.0001pt;">
115 (3.03)<o:p></o:p></div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 126.9pt;" valign="top" width="169"><div class="MsoNormal" style="margin-bottom: 0.0001pt;">
Christopher Tanev (D)<o:p></o:p></div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 120.6pt;" valign="top" width="161"><div class="MsoNormal" style="margin-bottom: 0.0001pt;">
Vancouver Canucks<o:p></o:p></div>
</td>
</tr>
<tr>
<td style="border-top: none; border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 126.9pt;" valign="top" width="169"><div class="MsoNormal" style="margin-bottom: 0.0001pt;">
96 (2.00)</div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 126.9pt;" valign="top" width="169"><div class="MsoNormal" style="margin-bottom: 0.0001pt;">
Karl Alzner (D)</div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 120.6pt;" valign="top" width="161"><div class="MsoNormal" style="margin-bottom: 0.0001pt;">
Washington Capitals<o:p></o:p></div>
</td>
</tr>
<tr>
<td style="border-top: none; border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 126.9pt;" valign="top" width="169"><div class="MsoNormal" style="margin-bottom: 0.0001pt;">
140 (2.92)<o:p></o:p></div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 126.9pt;" valign="top" width="169"><div class="MsoNormal" style="margin-bottom: 0.0001pt;">
Evander Kane (L)<o:p></o:p></div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 120.6pt;" valign="top" width="161"><div class="MsoNormal" style="margin-bottom: 0.0001pt;">
Winnipeg Jets<o:p></o:p></div>
</td>
</tr>
</tbody></table>
<div class="MsoNormal">
<br /></div>
<div class="MsoNormal">
Similar to before, what stands out from the team-by-team
breakdown is that the most hit player on two-thirds of teams was a defensemen. Another
thing that stands out about the table above is that only a couple of players on
this list stand out as offensive threats whom the defense should want to
target. This highlights my need to further analyze these numbers by normalizing
based on time-on-ice.</div>
<div class="MsoNormal">
<br /></div>
<div class="MsoNormal">
But even without taking into account playing time, these
numbers have implications. Given that they are hit more often, defensemen may
be more prone to being injured. Also, the potential long term effect of these
hits on the health of defensemen, particularly in their brains, may mirror (though
to a lesser extent) the health problems suffered by lineman in professional
football.</div>
<div class="MsoNormal">
<br /></div>
<h3>
Get hit more, win more?</h3>
<div class="MsoNormal">
<br /></div>
<div class="MsoNormal">
The last thing I'm going to look at is which teams were hit
the most times in 2013. These statistics are below.</div>
<div class="MsoNormal">
<br /></div>
<table border="1" cellpadding="0" cellspacing="0" class="MsoNormalTable" style="border-collapse: collapse; border: none; margin-left: 4.65pt; mso-border-alt: solid windowtext .5pt; mso-border-insideh: .5pt solid windowtext; mso-border-insidev: .5pt solid windowtext; mso-padding-alt: 0in 5.4pt 0in 5.4pt; mso-yfti-tbllook: 1184; width: 247px;">
<tbody>
<tr style="height: 15.0pt; mso-yfti-firstrow: yes; mso-yfti-irow: 0;">
<td nowrap="" style="border: solid windowtext 1.0pt; height: 15.0pt; mso-border-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 48.0pt;" valign="bottom" width="64"><div align="center" class="MsoNormal" style="margin-bottom: 0.0001pt; text-align: center;">
<b>Team<o:p></o:p></b></div>
</td>
<td nowrap="" style="border-left: none; border: solid windowtext 1.0pt; height: 15.0pt; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 78.75pt;" valign="bottom" width="105"><div align="center" class="MsoNormal" style="margin-bottom: 0.0001pt; text-align: center;">
<b>Hits Received<o:p></o:p></b></div>
</td>
<td nowrap="" style="border-left: none; border: solid windowtext 1.0pt; height: 15.0pt; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 58.5pt;" valign="bottom" width="78"><div align="center" class="MsoNormal" style="margin-bottom: 0.0001pt; text-align: center;">
<b>Per Game<o:p></o:p></b></div>
</td>
</tr>
<tr style="height: 15.0pt; mso-yfti-irow: 1;">
<td nowrap="" style="border-top: none; border: solid windowtext 1.0pt; height: 15.0pt; mso-border-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 48.0pt;" valign="bottom" width="64"><div class="MsoNormal" style="margin-bottom: 0.0001pt;">
L.A<o:p></o:p></div>
</td>
<td nowrap="" style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; height: 15.0pt; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 78.75pt;" valign="bottom" width="105"><div align="right" class="MsoNormal" style="margin-bottom: 0.0001pt; text-align: right;">
1445<o:p></o:p></div>
</td>
<td nowrap="" style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; height: 15.0pt; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 58.5pt;" valign="bottom" width="78"><div align="right" class="MsoNormal" style="margin-bottom: 0.0001pt; text-align: right;">
30.1<o:p></o:p></div>
</td>
</tr>
<tr style="height: 15.0pt; mso-yfti-irow: 2;">
<td nowrap="" style="border-top: none; border: solid windowtext 1.0pt; height: 15.0pt; mso-border-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 48.0pt;" valign="bottom" width="64"><div class="MsoNormal" style="margin-bottom: 0.0001pt;">
CHI<o:p></o:p></div>
</td>
<td nowrap="" style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; height: 15.0pt; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 78.75pt;" valign="bottom" width="105"><div align="right" class="MsoNormal" style="margin-bottom: 0.0001pt; text-align: right;">
1365<o:p></o:p></div>
</td>
<td nowrap="" style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; height: 15.0pt; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 58.5pt;" valign="bottom" width="78"><div align="right" class="MsoNormal" style="margin-bottom: 0.0001pt; text-align: right;">
28.44<o:p></o:p></div>
</td>
</tr>
<tr style="height: 15.0pt; mso-yfti-irow: 3;">
<td nowrap="" style="border-top: none; border: solid windowtext 1.0pt; height: 15.0pt; mso-border-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 48.0pt;" valign="bottom" width="64"><div class="MsoNormal" style="margin-bottom: 0.0001pt;">
TOR<o:p></o:p></div>
</td>
<td nowrap="" style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; height: 15.0pt; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 78.75pt;" valign="bottom" width="105"><div align="right" class="MsoNormal" style="margin-bottom: 0.0001pt; text-align: right;">
1357<o:p></o:p></div>
</td>
<td nowrap="" style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; height: 15.0pt; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 58.5pt;" valign="bottom" width="78"><div align="right" class="MsoNormal" style="margin-bottom: 0.0001pt; text-align: right;">
28.27<o:p></o:p></div>
</td>
</tr>
<tr style="height: 15.0pt; mso-yfti-irow: 4;">
<td nowrap="" style="border-top: none; border: solid windowtext 1.0pt; height: 15.0pt; mso-border-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 48.0pt;" valign="bottom" width="64"><div class="MsoNormal" style="margin-bottom: 0.0001pt;">
FLA<o:p></o:p></div>
</td>
<td nowrap="" style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; height: 15.0pt; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 78.75pt;" valign="bottom" width="105"><div align="right" class="MsoNormal" style="margin-bottom: 0.0001pt; text-align: right;">
1344<o:p></o:p></div>
</td>
<td nowrap="" style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; height: 15.0pt; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 58.5pt;" valign="bottom" width="78"><div align="right" class="MsoNormal" style="margin-bottom: 0.0001pt; text-align: right;">
28<o:p></o:p></div>
</td>
</tr>
<tr style="height: 15.0pt; mso-yfti-irow: 5;">
<td nowrap="" style="border-top: none; border: solid windowtext 1.0pt; height: 15.0pt; mso-border-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 48.0pt;" valign="bottom" width="64"><div class="MsoNormal" style="margin-bottom: 0.0001pt;">
OTT<o:p></o:p></div>
</td>
<td nowrap="" style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; height: 15.0pt; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 78.75pt;" valign="bottom" width="105"><div align="right" class="MsoNormal" style="margin-bottom: 0.0001pt; text-align: right;">
1330<o:p></o:p></div>
</td>
<td nowrap="" style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; height: 15.0pt; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 58.5pt;" valign="bottom" width="78"><div align="right" class="MsoNormal" style="margin-bottom: 0.0001pt; text-align: right;">
27.71<o:p></o:p></div>
</td>
</tr>
<tr style="height: 15.0pt; mso-yfti-irow: 6;">
<td nowrap="" style="border-top: none; border: solid windowtext 1.0pt; height: 15.0pt; mso-border-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 48.0pt;" valign="bottom" width="64"><div class="MsoNormal" style="margin-bottom: 0.0001pt;">
MTL<o:p></o:p></div>
</td>
<td nowrap="" style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; height: 15.0pt; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 78.75pt;" valign="bottom" width="105"><div align="right" class="MsoNormal" style="margin-bottom: 0.0001pt; text-align: right;">
1310<o:p></o:p></div>
</td>
<td nowrap="" style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; height: 15.0pt; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 58.5pt;" valign="bottom" width="78"><div align="right" class="MsoNormal" style="margin-bottom: 0.0001pt; text-align: right;">
27.29<o:p></o:p></div>
</td>
</tr>
<tr style="height: 15.0pt; mso-yfti-irow: 7;">
<td nowrap="" style="border-top: none; border: solid windowtext 1.0pt; height: 15.0pt; mso-border-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 48.0pt;" valign="bottom" width="64"><div class="MsoNormal" style="margin-bottom: 0.0001pt;">
BOS<o:p></o:p></div>
</td>
<td nowrap="" style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; height: 15.0pt; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 78.75pt;" valign="bottom" width="105"><div align="right" class="MsoNormal" style="margin-bottom: 0.0001pt; text-align: right;">
1289<o:p></o:p></div>
</td>
<td nowrap="" style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; height: 15.0pt; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 58.5pt;" valign="bottom" width="78"><div align="right" class="MsoNormal" style="margin-bottom: 0.0001pt; text-align: right;">
26.85<o:p></o:p></div>
</td>
</tr>
<tr style="height: 15.0pt; mso-yfti-irow: 8;">
<td nowrap="" style="border-top: none; border: solid windowtext 1.0pt; height: 15.0pt; mso-border-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 48.0pt;" valign="bottom" width="64"><div class="MsoNormal" style="margin-bottom: 0.0001pt;">
WSH<o:p></o:p></div>
</td>
<td nowrap="" style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; height: 15.0pt; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 78.75pt;" valign="bottom" width="105"><div align="right" class="MsoNormal" style="margin-bottom: 0.0001pt; text-align: right;">
1234<o:p></o:p></div>
</td>
<td nowrap="" style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; height: 15.0pt; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 58.5pt;" valign="bottom" width="78"><div align="right" class="MsoNormal" style="margin-bottom: 0.0001pt; text-align: right;">
25.71<o:p></o:p></div>
</td>
</tr>
<tr style="height: 15.0pt; mso-yfti-irow: 9;">
<td nowrap="" style="border-top: none; border: solid windowtext 1.0pt; height: 15.0pt; mso-border-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 48.0pt;" valign="bottom" width="64"><div class="MsoNormal" style="margin-bottom: 0.0001pt;">
NYR<o:p></o:p></div>
</td>
<td nowrap="" style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; height: 15.0pt; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 78.75pt;" valign="bottom" width="105"><div align="right" class="MsoNormal" style="margin-bottom: 0.0001pt; text-align: right;">
1228<o:p></o:p></div>
</td>
<td nowrap="" style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; height: 15.0pt; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 58.5pt;" valign="bottom" width="78"><div align="right" class="MsoNormal" style="margin-bottom: 0.0001pt; text-align: right;">
25.58<o:p></o:p></div>
</td>
</tr>
<tr style="height: 15.0pt; mso-yfti-irow: 10;">
<td nowrap="" style="border-top: none; border: solid windowtext 1.0pt; height: 15.0pt; mso-border-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 48.0pt;" valign="bottom" width="64"><div class="MsoNormal" style="margin-bottom: 0.0001pt;">
WPG<o:p></o:p></div>
</td>
<td nowrap="" style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; height: 15.0pt; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 78.75pt;" valign="bottom" width="105"><div align="right" class="MsoNormal" style="margin-bottom: 0.0001pt; text-align: right;">
1208<o:p></o:p></div>
</td>
<td nowrap="" style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; height: 15.0pt; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 58.5pt;" valign="bottom" width="78"><div align="right" class="MsoNormal" style="margin-bottom: 0.0001pt; text-align: right;">
25.17<o:p></o:p></div>
</td>
</tr>
<tr style="height: 15.0pt; mso-yfti-irow: 11;">
<td nowrap="" style="border-top: none; border: solid windowtext 1.0pt; height: 15.0pt; mso-border-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 48.0pt;" valign="bottom" width="64"><div class="MsoNormal" style="margin-bottom: 0.0001pt;">
DAL<o:p></o:p></div>
</td>
<td nowrap="" style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; height: 15.0pt; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 78.75pt;" valign="bottom" width="105"><div align="right" class="MsoNormal" style="margin-bottom: 0.0001pt; text-align: right;">
1200<o:p></o:p></div>
</td>
<td nowrap="" style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; height: 15.0pt; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 58.5pt;" valign="bottom" width="78"><div align="right" class="MsoNormal" style="margin-bottom: 0.0001pt; text-align: right;">
25<o:p></o:p></div>
</td>
</tr>
<tr style="height: 15.0pt; mso-yfti-irow: 12;">
<td nowrap="" style="border-top: none; border: solid windowtext 1.0pt; height: 15.0pt; mso-border-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 48.0pt;" valign="bottom" width="64"><div class="MsoNormal" style="margin-bottom: 0.0001pt;">
S.J<o:p></o:p></div>
</td>
<td nowrap="" style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; height: 15.0pt; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 78.75pt;" valign="bottom" width="105"><div align="right" class="MsoNormal" style="margin-bottom: 0.0001pt; text-align: right;">
1185<o:p></o:p></div>
</td>
<td nowrap="" style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; height: 15.0pt; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 58.5pt;" valign="bottom" width="78"><div align="right" class="MsoNormal" style="margin-bottom: 0.0001pt; text-align: right;">
24.69<o:p></o:p></div>
</td>
</tr>
<tr style="height: 15.0pt; mso-yfti-irow: 13;">
<td nowrap="" style="border-top: none; border: solid windowtext 1.0pt; height: 15.0pt; mso-border-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 48.0pt;" valign="bottom" width="64"><div class="MsoNormal" style="margin-bottom: 0.0001pt;">
CAR<o:p></o:p></div>
</td>
<td nowrap="" style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; height: 15.0pt; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 78.75pt;" valign="bottom" width="105"><div align="right" class="MsoNormal" style="margin-bottom: 0.0001pt; text-align: right;">
1148<o:p></o:p></div>
</td>
<td nowrap="" style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; height: 15.0pt; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 58.5pt;" valign="bottom" width="78"><div align="right" class="MsoNormal" style="margin-bottom: 0.0001pt; text-align: right;">
23.92<o:p></o:p></div>
</td>
</tr>
<tr style="height: 15.0pt; mso-yfti-irow: 14;">
<td nowrap="" style="border-top: none; border: solid windowtext 1.0pt; height: 15.0pt; mso-border-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 48.0pt;" valign="bottom" width="64"><div class="MsoNormal" style="margin-bottom: 0.0001pt;">
N.J<o:p></o:p></div>
</td>
<td nowrap="" style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; height: 15.0pt; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 78.75pt;" valign="bottom" width="105"><div align="right" class="MsoNormal" style="margin-bottom: 0.0001pt; text-align: right;">
1143<o:p></o:p></div>
</td>
<td nowrap="" style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; height: 15.0pt; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 58.5pt;" valign="bottom" width="78"><div align="right" class="MsoNormal" style="margin-bottom: 0.0001pt; text-align: right;">
23.81<o:p></o:p></div>
</td>
</tr>
<tr style="height: 15.0pt; mso-yfti-irow: 15;">
<td nowrap="" style="border-top: none; border: solid windowtext 1.0pt; height: 15.0pt; mso-border-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 48.0pt;" valign="bottom" width="64"><div class="MsoNormal" style="margin-bottom: 0.0001pt;">
PHX<o:p></o:p></div>
</td>
<td nowrap="" style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; height: 15.0pt; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 78.75pt;" valign="bottom" width="105"><div align="right" class="MsoNormal" style="margin-bottom: 0.0001pt; text-align: right;">
1128<o:p></o:p></div>
</td>
<td nowrap="" style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; height: 15.0pt; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 58.5pt;" valign="bottom" width="78"><div align="right" class="MsoNormal" style="margin-bottom: 0.0001pt; text-align: right;">
23.5<o:p></o:p></div>
</td>
</tr>
<tr style="height: 15.0pt; mso-yfti-irow: 16;">
<td nowrap="" style="border-top: none; border: solid windowtext 1.0pt; height: 15.0pt; mso-border-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 48.0pt;" valign="bottom" width="64"><div class="MsoNormal" style="margin-bottom: 0.0001pt;">
PHI<o:p></o:p></div>
</td>
<td nowrap="" style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; height: 15.0pt; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 78.75pt;" valign="bottom" width="105"><div align="right" class="MsoNormal" style="margin-bottom: 0.0001pt; text-align: right;">
1124<o:p></o:p></div>
</td>
<td nowrap="" style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; height: 15.0pt; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 58.5pt;" valign="bottom" width="78"><div align="right" class="MsoNormal" style="margin-bottom: 0.0001pt; text-align: right;">
23.42<o:p></o:p></div>
</td>
</tr>
<tr style="height: 15.0pt; mso-yfti-irow: 17;">
<td nowrap="" style="border-top: none; border: solid windowtext 1.0pt; height: 15.0pt; mso-border-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 48.0pt;" valign="bottom" width="64"><div class="MsoNormal" style="margin-bottom: 0.0001pt;">
ANA<o:p></o:p></div>
</td>
<td nowrap="" style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; height: 15.0pt; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 78.75pt;" valign="bottom" width="105"><div align="right" class="MsoNormal" style="margin-bottom: 0.0001pt; text-align: right;">
1102<o:p></o:p></div>
</td>
<td nowrap="" style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; height: 15.0pt; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 58.5pt;" valign="bottom" width="78"><div align="right" class="MsoNormal" style="margin-bottom: 0.0001pt; text-align: right;">
22.96<o:p></o:p></div>
</td>
</tr>
<tr style="height: 15.0pt; mso-yfti-irow: 18;">
<td nowrap="" style="border-top: none; border: solid windowtext 1.0pt; height: 15.0pt; mso-border-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 48.0pt;" valign="bottom" width="64"><div class="MsoNormal" style="margin-bottom: 0.0001pt;">
PIT<o:p></o:p></div>
</td>
<td nowrap="" style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; height: 15.0pt; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 78.75pt;" valign="bottom" width="105"><div align="right" class="MsoNormal" style="margin-bottom: 0.0001pt; text-align: right;">
1102<o:p></o:p></div>
</td>
<td nowrap="" style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; height: 15.0pt; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 58.5pt;" valign="bottom" width="78"><div align="right" class="MsoNormal" style="margin-bottom: 0.0001pt; text-align: right;">
22.96<o:p></o:p></div>
</td>
</tr>
<tr style="height: 15.0pt; mso-yfti-irow: 19;">
<td nowrap="" style="border-top: none; border: solid windowtext 1.0pt; height: 15.0pt; mso-border-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 48.0pt;" valign="bottom" width="64"><div class="MsoNormal" style="margin-bottom: 0.0001pt;">
NYI<o:p></o:p></div>
</td>
<td nowrap="" style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; height: 15.0pt; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 78.75pt;" valign="bottom" width="105"><div align="right" class="MsoNormal" style="margin-bottom: 0.0001pt; text-align: right;">
1098<o:p></o:p></div>
</td>
<td nowrap="" style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; height: 15.0pt; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 58.5pt;" valign="bottom" width="78"><div align="right" class="MsoNormal" style="margin-bottom: 0.0001pt; text-align: right;">
22.88<o:p></o:p></div>
</td>
</tr>
<tr style="height: 15.0pt; mso-yfti-irow: 20;">
<td nowrap="" style="border-top: none; border: solid windowtext 1.0pt; height: 15.0pt; mso-border-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 48.0pt;" valign="bottom" width="64"><div class="MsoNormal" style="margin-bottom: 0.0001pt;">
T.B<o:p></o:p></div>
</td>
<td nowrap="" style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; height: 15.0pt; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 78.75pt;" valign="bottom" width="105"><div align="right" class="MsoNormal" style="margin-bottom: 0.0001pt; text-align: right;">
1074<o:p></o:p></div>
</td>
<td nowrap="" style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; height: 15.0pt; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 58.5pt;" valign="bottom" width="78"><div align="right" class="MsoNormal" style="margin-bottom: 0.0001pt; text-align: right;">
22.38<o:p></o:p></div>
</td>
</tr>
<tr style="height: 15.0pt; mso-yfti-irow: 21;">
<td nowrap="" style="border-top: none; border: solid windowtext 1.0pt; height: 15.0pt; mso-border-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 48.0pt;" valign="bottom" width="64"><div class="MsoNormal" style="margin-bottom: 0.0001pt;">
VAN<o:p></o:p></div>
</td>
<td nowrap="" style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; height: 15.0pt; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 78.75pt;" valign="bottom" width="105"><div align="right" class="MsoNormal" style="margin-bottom: 0.0001pt; text-align: right;">
1056<o:p></o:p></div>
</td>
<td nowrap="" style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; height: 15.0pt; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 58.5pt;" valign="bottom" width="78"><div align="right" class="MsoNormal" style="margin-bottom: 0.0001pt; text-align: right;">
22<o:p></o:p></div>
</td>
</tr>
<tr style="height: 15.0pt; mso-yfti-irow: 22;">
<td nowrap="" style="border-top: none; border: solid windowtext 1.0pt; height: 15.0pt; mso-border-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 48.0pt;" valign="bottom" width="64"><div class="MsoNormal" style="margin-bottom: 0.0001pt;">
DET<o:p></o:p></div>
</td>
<td nowrap="" style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; height: 15.0pt; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 78.75pt;" valign="bottom" width="105"><div align="right" class="MsoNormal" style="margin-bottom: 0.0001pt; text-align: right;">
1051<o:p></o:p></div>
</td>
<td nowrap="" style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; height: 15.0pt; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 58.5pt;" valign="bottom" width="78"><div align="right" class="MsoNormal" style="margin-bottom: 0.0001pt; text-align: right;">
21.9<o:p></o:p></div>
</td>
</tr>
<tr style="height: 15.0pt; mso-yfti-irow: 23;">
<td nowrap="" style="border-top: none; border: solid windowtext 1.0pt; height: 15.0pt; mso-border-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 48.0pt;" valign="bottom" width="64"><div class="MsoNormal" style="margin-bottom: 0.0001pt;">
EDM<o:p></o:p></div>
</td>
<td nowrap="" style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; height: 15.0pt; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 78.75pt;" valign="bottom" width="105"><div align="right" class="MsoNormal" style="margin-bottom: 0.0001pt; text-align: right;">
1040<o:p></o:p></div>
</td>
<td nowrap="" style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; height: 15.0pt; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 58.5pt;" valign="bottom" width="78"><div align="right" class="MsoNormal" style="margin-bottom: 0.0001pt; text-align: right;">
21.67<o:p></o:p></div>
</td>
</tr>
<tr style="height: 15.0pt; mso-yfti-irow: 24;">
<td nowrap="" style="border-top: none; border: solid windowtext 1.0pt; height: 15.0pt; mso-border-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 48.0pt;" valign="bottom" width="64"><div class="MsoNormal" style="margin-bottom: 0.0001pt;">
CBJ<o:p></o:p></div>
</td>
<td nowrap="" style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; height: 15.0pt; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 78.75pt;" valign="bottom" width="105"><div align="right" class="MsoNormal" style="margin-bottom: 0.0001pt; text-align: right;">
1016<o:p></o:p></div>
</td>
<td nowrap="" style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; height: 15.0pt; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 58.5pt;" valign="bottom" width="78"><div align="right" class="MsoNormal" style="margin-bottom: 0.0001pt; text-align: right;">
21.17<o:p></o:p></div>
</td>
</tr>
<tr style="height: 15.0pt; mso-yfti-irow: 25;">
<td nowrap="" style="border-top: none; border: solid windowtext 1.0pt; height: 15.0pt; mso-border-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 48.0pt;" valign="bottom" width="64"><div class="MsoNormal" style="margin-bottom: 0.0001pt;">
MIN<o:p></o:p></div>
</td>
<td nowrap="" style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; height: 15.0pt; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 78.75pt;" valign="bottom" width="105"><div align="right" class="MsoNormal" style="margin-bottom: 0.0001pt; text-align: right;">
993<o:p></o:p></div>
</td>
<td nowrap="" style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; height: 15.0pt; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 58.5pt;" valign="bottom" width="78"><div align="right" class="MsoNormal" style="margin-bottom: 0.0001pt; text-align: right;">
20.69<o:p></o:p></div>
</td>
</tr>
<tr style="height: 15.0pt; mso-yfti-irow: 26;">
<td nowrap="" style="border-top: none; border: solid windowtext 1.0pt; height: 15.0pt; mso-border-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 48.0pt;" valign="bottom" width="64"><div class="MsoNormal" style="margin-bottom: 0.0001pt;">
BUF<o:p></o:p></div>
</td>
<td nowrap="" style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; height: 15.0pt; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 78.75pt;" valign="bottom" width="105"><div align="right" class="MsoNormal" style="margin-bottom: 0.0001pt; text-align: right;">
975<o:p></o:p></div>
</td>
<td nowrap="" style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; height: 15.0pt; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 58.5pt;" valign="bottom" width="78"><div align="right" class="MsoNormal" style="margin-bottom: 0.0001pt; text-align: right;">
20.31<o:p></o:p></div>
</td>
</tr>
<tr style="height: 15.0pt; mso-yfti-irow: 27;">
<td nowrap="" style="border-top: none; border: solid windowtext 1.0pt; height: 15.0pt; mso-border-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 48.0pt;" valign="bottom" width="64"><div class="MsoNormal" style="margin-bottom: 0.0001pt;">
STL<o:p></o:p></div>
</td>
<td nowrap="" style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; height: 15.0pt; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 78.75pt;" valign="bottom" width="105"><div align="right" class="MsoNormal" style="margin-bottom: 0.0001pt; text-align: right;">
970<o:p></o:p></div>
</td>
<td nowrap="" style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; height: 15.0pt; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 58.5pt;" valign="bottom" width="78"><div align="right" class="MsoNormal" style="margin-bottom: 0.0001pt; text-align: right;">
20.21<o:p></o:p></div>
</td>
</tr>
<tr style="height: 15.0pt; mso-yfti-irow: 28;">
<td nowrap="" style="border-top: none; border: solid windowtext 1.0pt; height: 15.0pt; mso-border-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 48.0pt;" valign="bottom" width="64"><div class="MsoNormal" style="margin-bottom: 0.0001pt;">
NSH<o:p></o:p></div>
</td>
<td nowrap="" style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; height: 15.0pt; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 78.75pt;" valign="bottom" width="105"><div align="right" class="MsoNormal" style="margin-bottom: 0.0001pt; text-align: right;">
961<o:p></o:p></div>
</td>
<td nowrap="" style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; height: 15.0pt; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 58.5pt;" valign="bottom" width="78"><div align="right" class="MsoNormal" style="margin-bottom: 0.0001pt; text-align: right;">
20.02<o:p></o:p></div>
</td>
</tr>
<tr style="height: 15.0pt; mso-yfti-irow: 29;">
<td nowrap="" style="border-top: none; border: solid windowtext 1.0pt; height: 15.0pt; mso-border-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 48.0pt;" valign="bottom" width="64"><div class="MsoNormal" style="margin-bottom: 0.0001pt;">
COL<o:p></o:p></div>
</td>
<td nowrap="" style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; height: 15.0pt; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 78.75pt;" valign="bottom" width="105"><div align="right" class="MsoNormal" style="margin-bottom: 0.0001pt; text-align: right;">
901<o:p></o:p></div>
</td>
<td nowrap="" style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; height: 15.0pt; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 58.5pt;" valign="bottom" width="78"><div align="right" class="MsoNormal" style="margin-bottom: 0.0001pt; text-align: right;">
18.77<o:p></o:p></div>
</td>
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<tr style="height: 15.0pt; mso-yfti-irow: 30; mso-yfti-lastrow: yes;">
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CGY<o:p></o:p></div>
</td>
<td nowrap="" style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; height: 15.0pt; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 78.75pt;" valign="bottom" width="105"><div align="right" class="MsoNormal" style="margin-bottom: 0.0001pt; text-align: right;">
892<o:p></o:p></div>
</td>
<td nowrap="" style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; height: 15.0pt; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 58.5pt;" valign="bottom" width="78"><div align="right" class="MsoNormal" style="margin-bottom: 0.0001pt; text-align: right;">
18.58<o:p></o:p></div>
</td>
</tr>
</tbody></table>
<div class="MsoNormal">
<br /></div>
<div class="MsoNormal">
If I had to make a guess, I could say that the teams with
the best records probably should be the ones with the fewest hits received.
Teams stay healthier when they aren't hit, and teams with more skill should probably
be better at avoiding being hit. This table seems to indicate that this hypothesis
probably doesn't hold up to the empirical data. We have the two Cup Finalists
among the teams that received the most hits in 2013, and one of the Conference
Finalists (Los Angeles) leading the pack.</div>
<div class="MsoNormal">
<br /></div>
<div class="MsoNormal">
If anything, there appears to be a positive correlation
between winning games and being hit. Looking at the simple correlation
coefficient, I find that there a 0.378 correlation between the number of hits
that teams received in 2013 and their number of points in the final standings.
When I regress the number of points on the number of hits received in a simple
linear regression, I find that this relationship is significant at the 0.05 level,
but yields the counter-intuitive conclusion that 40 additional hits received
correlates with one extra point in the standings (beta = 0.025, sd = 0.011).
I'll have to do some more thinking about this, and maybe I'll follow up later
by looking for closely at how hits given and received translate into wins.</div>
<div class="MsoNormal">
<br /></div>
<div class="MsoNormal">
<o:p><br /></o:p></div>
<br />
<div class="MsoNormal">
Also, if you're wondering which hitter/hittee combo was most
common in 2013, the answer is Toronto's Dion Phaneuf hitting New Jersey's David
Clarkson 9 times in the three games they played against each other.</div>Anonymoushttp://www.blogger.com/profile/06654463214049859090noreply@blogger.com2tag:blogger.com,1999:blog-8199936405783540709.post-76373153378017849132013-06-09T18:31:00.002-04:002014-07-30T23:21:40.543-04:00Testing two common adages about when goals are scored<a href="http://rinkstats.com/2013/06/testing-two-common-adages-about-when">Check out this post on the new version of Rink Stats.</a>
Hockey announcers and fans seem to have a lot of adages about when goals are scored during games. I just finished collecting and cleaning play-by-play data from every NHL game from the 2007-2008 season through the lockout-shortened 2013 season. In this post I'm going to look at some very basic attributes of the data. I also hope to convince you of the truth behind two common adages.<br />
<br />
<a name='more'></a><br />
<br />
In the six seasons for which I have data, there were 37,523 goals scored. That averages out to be 5.47 goals per game. In terms of time-on-the-clock, goals come at the highest frequency with 1 second left in the 3rd period. In six seasons there were 58 goals at 19:59 of the 3rd. That works out to be about 10 last-second goals in an NHL regular season. Makes sense, since that's that's the time when it's most likely that one of the goalies is pulled.<br />
<br />
If we ignore the last 90 seconds of the 3rd period, when the number of goals per second spikes dramatically, the most common time for a goal to be scored is in the last second of the 1st period. There were 26 of those in 6 seasons. I don't have a great explanation for why this is, except that teams are probably most likely to be throwing pucks at the net as time expires.<br />
<br />
The graph below shows the total number of goals scored at in each second of all the games since 2007-2008. Each bar in this graph (as well as those throughout this post) signifies the total number of goals scored in those seasons for each of the 3900 possible times showing on the clock (3 periods x 20 minutes x 60 seconds + 5 minutes x 60 seconds). For example, the bar at 10:00 of the 1st period is 8 units high because there were 8 goals scored with exactly 10 minutes left on the clock in the 1st period.<br />
<br />
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhbPj9toWu5QF0wcljxV6XGPl9HRpJH5uFuWrz-ZoubcNCdQE7ejDIZbiMpq-0_h3VgoZ6Y5cbl8RW8QralSpP9_x3ERXNkyIoqBt5Slsg78NRbXIDIt6053hLntw_RhMS2Ub57oE7ixyQ/s1600/all_periods.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="320" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhbPj9toWu5QF0wcljxV6XGPl9HRpJH5uFuWrz-ZoubcNCdQE7ejDIZbiMpq-0_h3VgoZ6Y5cbl8RW8QralSpP9_x3ERXNkyIoqBt5Slsg78NRbXIDIt6053hLntw_RhMS2Ub57oE7ixyQ/s640/all_periods.png" width="640" /></a></div>
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<div class="separator" style="clear: both; text-align: center;">
</div>
<br />
There seem to be big jumps in goal scoring at the end of each period, particularly in the third. Unfortunately, I haven't been able to distinguish empty net goals from non-empty netters in my data, but eventually hopefully I'll be able to look at how often teams score non-empty netters at the end of regulation. The other thing that you might be able to notice on this graph is that there are slightly more goals in the 2nd period than in the 1st or 3rd. That brings us to adage number 1...<br />
<br />
<h2>
Adage #1: The long line changes on defense in the 2nd period lead to more goals</h2>
<div>
Because teams switch which goal they're shooting at between periods, each team plays the 2nd period defending the goal that is further from their bench. This is supposedly a disadvantage to defenses because it is more difficult for exhausted players stuck in their defensive zone to get off the ice (particularly on penalty kills). The adage suggests that this should result in more 2nd period goals. Let's look at whether it holds up to empirical scrutiny.<br />
<br />
The graph below is similar to the previous one, except that below I've left off OT as well as goals in the last 90 seconds of the game, when one goalie is most likely to be pulled.</div>
<div>
<br /></div>
<div class="separator" style="clear: both; text-align: center;">
<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhg9MQtDlhz0pKhNK9kIJiQ73hyphenhyphennuRAFqxrtxovRwN8I9-aOTw15lhaNDZasnFGa5tkzuI9E_AViQq8SCGBNIU6mZrV0iSkGxpFwU0woaGC2iAkBfQ1x1_Etzysmhv1FzXvtj4IGc9TYjs/s1600/period_by_period.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="320" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhg9MQtDlhz0pKhNK9kIJiQ73hyphenhyphennuRAFqxrtxovRwN8I9-aOTw15lhaNDZasnFGa5tkzuI9E_AViQq8SCGBNIU6mZrV0iSkGxpFwU0woaGC2iAkBfQ1x1_Etzysmhv1FzXvtj4IGc9TYjs/s640/period_by_period.png" width="640" /></a></div>
<div>
The red lines on these three graphs show the average number of goals scored per second in each period. They appear a little bit low because there's basically zero goals scored in the first 5 to 10 seconds of each period, so that pulls the average goals per second toward zero.</div>
<br />
What's immediately noticeable is that the line for the 2nd period is much higher than those for the 1st and 3rd. It seems as if this adage might have some validity. There were 13006 goals scored in 2nd periods in the six seasons' of regular season games. In the first period there were just 11080. And in the 3rd (before the final 90 second of the game) there were 10735. These average out to be 10.838 goals per second in the 2nd, 9.233 in the 1st, and 9.671 in the 3rd.<br />
<br />
If we ignore the 3rd period, where we have to deal with weirdness related to empty net goals, we can compare each clock-position in the 1st period to the corresponding clock-position in the 2nd. I've subtracted the number of 1st period goals at each clock time from the number of 2nd period goals at the identical clock time. Those results are in the graph below.<br />
<br />
<div class="separator" style="clear: both; text-align: center;">
<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiooKBPaXHbaHwuB7Qa5Q3GFNTXGSz5DP-PV2FRC_A19NDpNTKOE8VMNtlhJF_ODVunl733cZN7ZQPgJFWW8HGYGFlWEhNRXhfsec5NgFrwFHvx9THKUl7IwwFcaE1ArhVC_Z5v7RWg3U8/s1600/second_first.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="640" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiooKBPaXHbaHwuB7Qa5Q3GFNTXGSz5DP-PV2FRC_A19NDpNTKOE8VMNtlhJF_ODVunl733cZN7ZQPgJFWW8HGYGFlWEhNRXhfsec5NgFrwFHvx9THKUl7IwwFcaE1ArhVC_Z5v7RWg3U8/s640/second_first.png" width="640" /></a></div>
<br />
Blue lines on the graph indicate that, for those clock-times, there were more goals scored in the 1st period than 2nd. And red lines indicate times for which there were more 2nd period goals. There certainly more times for which 2nd period goals are more common than 1st period ones.<br />
<br />
The average difference between 1st and 2nd period goals was 1.626 more 2nd period ones. If I take into account the number of games in my dataset, this value of 1.626 is equivalent to saying that, in a single game, there are an average of 0.000237 more goals in each second of the 2nd period compared to the first. Doesn't sound like a lot, but there's 1200 seconds in a period so that means there's roughly 0.28 more 2nd period goals per game than 1st period ones.<br />
<br />
Clearly there's something going on here. I can't say with certainty whether the spike in 2nd period goals is directly attributable to the long line change, but it seems possible. Just for fun, I'm going to assume that this is the case and explore some hypotheticals.<br />
<br />
<h3>
Hypothetical #1: What if the 1st and 3rd periods had the long line change and the 2nd had the short?</h3>
<div>
If I assume that the number of goals in the last 90 seconds of the 3rd period won't dramatically change, I' estimate that the number of goals per game under this setup would jump from 5.27 (as it was in the last 6 seasons) to 6.03.</div>
<div>
<br /></div>
<h3>
Hypothetical #2: What if the teams never switched sides and the whole game was played with the long line change?</h3>
<div>
Making the same assumption about the end of the third period, I estimate that the number of goals per game would increase even more to 6.31.</div>
<div>
<br /></div>
<h3>
Hypothetical #3: What if the teams never switched sides, but there was never a long line change?</h3>
<div>
In this setup, the number of goals per game would drop slightly, to 5.19.</div>
<div>
<br /></div>
<div>
I don't this will ever happen but it seems possible that if the NHL really wanted to increase scoring, they might consider making teams play the 1st and 3rd periods with the long defensive line change, instead of the 2nd. Defensemen and defensive-minded coaches would not be happy.</div>
<h2>
</h2>
<h2>
Adage #2: Overtime game-winners either come very early or very late.</h2>
<div>
A second adage, you often hear when watching an overtime regular season game, is that game winning overtime goals usually come either very early or very late in the period. What constitutes "very early" or "very late" is unclear, but for the sake of pinning it down, let's say it's the first and last 60 or 90 seconds of OT.<br />
<br />
The top graph below shows the distribution of overtime goals, by time on the clock. The bottom graph smooths out the trends somewhat by grouping together goals based on 10 second intervals.<br />
<br />
<div class="separator" style="clear: both; text-align: center;">
<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiZ1ZbRyI0fDDJKwWbH1yeFz0vIypvHMpztmQnOju03wUVoWOgZvylVMJieCOxcW_ykfEKB7UZ-MOQupgeWdi3abTvgxCUtZqJ2W39JLrPAeaE-uEyEChX7X53euwhkJDNHwI00ljE4Rpo/s1600/overtime.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="640" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiZ1ZbRyI0fDDJKwWbH1yeFz0vIypvHMpztmQnOju03wUVoWOgZvylVMJieCOxcW_ykfEKB7UZ-MOQupgeWdi3abTvgxCUtZqJ2W39JLrPAeaE-uEyEChX7X53euwhkJDNHwI00ljE4Rpo/s640/overtime.png" width="640" /></a></div>
<br />
These graphs don't seem to support the adage. If anything, there appear to be <i>fewer</i> goals scored in the first 60 to 90 seconds of OT. And if you look at the last 40 seconds of the OT, it seems as it's actually less common to get a goal then, compared to the middle of the period. At best, I'd call this adage false. At worst, I'd say adage is the reverse of reality.<br />
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I think the reason people tend to believe this adage, despite the evidence, is that when you're only playing 5 minutes of overtime, any goal can be called "late." Think about it. If somebody scores a third period game winner with only 3 minutes left on the clock, you remember the game as being won very late. If the game ends on an OT winner with 3 minutes on the clock, you'll probably also remember it as being a very late goal, even though it wasn't even halfway through overtime. The point is, overtime is so short that there isn't really a time on the clock when somebody would say, "yeah that wasn't an early goal or a late one."</div>
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Long story short... More goals in the second period, perhaps because of the long line change? Fact. Overtime goals coming very early or very late? Fiction.Anonymoushttp://www.blogger.com/profile/06654463214049859090noreply@blogger.com0