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	<title>Russian Machine Never Breaks &#187; MATH</title>
	<atom:link href="http://www.russianmachineneverbreaks.com/tag/math/feed/" rel="self" type="application/rss+xml" />
	<link>http://www.russianmachineneverbreaks.com</link>
	<description>A cheerfully demented Washington Capitals site with a healthy fixation on Alex Ovechkin and his Russian bros. CRASH THE NET!</description>
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		<title>How To Guarantee a Caps Win</title>
		<link>http://www.russianmachineneverbreaks.com/2010/12/19/how-to-guarantee-a-caps-win/</link>
		<comments>http://www.russianmachineneverbreaks.com/2010/12/19/how-to-guarantee-a-caps-win/#comments</comments>
		<pubDate>Sun, 19 Dec 2010 22:11:47 +0000</pubDate>
		<dc:creator>Neil Greenberg</dc:creator>
				<category><![CDATA[Pregame]]></category>
		<category><![CDATA[Statistical Analysis]]></category>
		<category><![CDATA[Alex Ovechkin]]></category>
		<category><![CDATA[MATH]]></category>
		<category><![CDATA[Scoring Chances]]></category>

		<guid isPermaLink="false">http://www.russianmachineneverbreaks.com/?p=11680</guid>
		<description><![CDATA[Photo credit: Luis M. Alvarez If you&#8217;re like me, you&#8217;ve tried everything. Not shaving. Wearing the same clothes. Wearing different clothes. Eating weird foods. Anything that you did before the Caps stopped winning &#8212; now you&#8217;re doing the opposite. Yet, they&#8217;re still losing, and unfortunately not much is going to change unless Ovechkin&#8217;s line does [...]]]></description>
				<content:encoded><![CDATA[<p><a class="vt-p" href="http://www.russianmachineneverbreaks.com/wp-content/uploads/2010/12/mf8b6d5466cf05273a765eb28bf28db1a.jpg"><img class="alignnone size-full wp-image-11700" style="border: solid 1px #00204d" title="mf8b6d5466cf05273a765eb28bf28db1a" src="http://www.russianmachineneverbreaks.com/wp-content/uploads/2010/12/mf8b6d5466cf05273a765eb28bf28db1a.jpg" alt="mf8b6d5466cf05273a765eb28bf28db1a" width="607" /></a><em>Photo credit: Luis M. Alvarez</em></p>
<p>If you&#8217;re like me, you&#8217;ve tried everything. Not shaving. Wearing the same clothes. Wearing different clothes. Eating weird foods. Anything that you did before the Caps stopped winning &#8212; now you&#8217;re doing the opposite. Yet, they&#8217;re still losing, and unfortunately not much is going to change unless Ovechkin&#8217;s line does one thing: convert on every fourth scoring chance.</p>
<p>When the Great 8 is on the ice and the Caps convert on every fourth scoring chance, they are 6-0. When it falls under 25%, they have been 10-16. Take a look:</p>
<table style="border-collapse:  collapse;table-layout:fixed; margin-bottom: 15px" border="0" cellspacing="0" cellpadding="0">
<colgroup>
<col width="165"></col>
<col class="xl26" span="2" width="30"></col>
<col class="xl26" width="40"></col>
<col class="xl26" width="165"></col>
</colgroup>
<tbody>
<tr class="xl26 statHead2" height="15">
<td class="xl24 statHead2" width="165" height="15">Scoring chance convert%</td>
<td class="xl25 statHead2" width="30">W</td>
<td class="xl25 statHead2" width="30">L</td>
<td class="xl25 statHead2" width="40">W%</td>
<td class="xl25 statHead2" width="165">Individual Pts per game</td>
</tr>
<tr height="15">
<td height="15">less than 25%</td>
<td class="xl26 playerTD" style='text-align:center'>10</td>
<td class="xl26 playerTD" style='text-align:center'>16</td>
<td class="xl27 playerTD" style='text-align:center'>0.385</td>
<td class="xl28 playerTD" style='text-align: center'>0.88</td>
</tr>
<tr height="15">
<td class="playerTD greyTD" height="15">25% or more</td>
<td class="xl26 playerTD greyTD" style='text-align:center'>6</td>
<td class="xl26 playerTD greyTD" style='text-align:center'>0</td>
<td class="xl27 playerTD greyTD"vstyle='text-align:center'>1.000</td>
<td class="xl28 playerTD greyTD" style='text-align: center'>1.67</td>
</tr>
</tbody>
</table>
<p><em>Convert% is simply goals scored on chances when Ovechkin is on the ice.<em> </em></em></p>
<p>I know this seems like a &#8220;duh&#8221; moment, since most Caps fans will tell you that &#8220;as Ovi goes so does the team,&#8221; but this isn&#8217;t just about Ovechkin. This is about Backstrom, Semin, Knuble, and anyone else who is on the ice with him. They need to get their heads out of their asses and get it done, at least on one out of every four of their chances.</p>
<p>Game on.</p>
 
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		</item>
		<item>
		<title>Poof! Goes The Offense</title>
		<link>http://www.russianmachineneverbreaks.com/2010/12/14/poof-goes-the-offense/</link>
		<comments>http://www.russianmachineneverbreaks.com/2010/12/14/poof-goes-the-offense/#comments</comments>
		<pubDate>Wed, 15 Dec 2010 03:08:37 +0000</pubDate>
		<dc:creator>Neil Greenberg</dc:creator>
				<category><![CDATA[Opinion]]></category>
		<category><![CDATA[Statistical Analysis]]></category>
		<category><![CDATA[MATH]]></category>
		<category><![CDATA[panic]]></category>
		<category><![CDATA[Scoring Chances]]></category>
		<category><![CDATA[Statistics]]></category>
		<category><![CDATA[Washington Capitals]]></category>

		<guid isPermaLink="false">http://www.russianmachineneverbreaks.com/?p=11524</guid>
		<description><![CDATA[Photo credit: Mitchell Layton Quite the depressing week. We don&#8217;t score. We got blown out. People are revolting. He-who-can&#8217;t-be-named is now front and center on our site. Despite it all, I still maintain we shouldn&#8217;t panic. This week I am going to take a break from individual scoring chances and look at the team as [...]]]></description>
				<content:encoded><![CDATA[<p><a class="vt-p" href="http://www.russianmachineneverbreaks.com/wp-content/uploads/2010/12/bruce-boudreau-angry.jpeg"><img class="aligncenter size-full wp-image-11536" style="border: solid 1px #00204d" title="Bruce Boudreau: Bummin'" src="http://www.russianmachineneverbreaks.com/wp-content/uploads/2010/12/bruce-boudreau-angry.jpeg" alt="Bruce Boudreau: Bummin'" width="607" /></a></p>
<p><em>Photo credit: Mitchell Layton</em></p>
<p>Quite the depressing week. <a class="vt-p" href="http://www.russianmachineneverbreaks.com/2010/12/13/six-game-losing-streaks-are-rare/">We don&#8217;t score</a>. <a class="vt-p" href="http://www.russianmachineneverbreaks.com/2010/12/12/rangers-beat-caps-7-0-initiate-panic-protocol/">We got blown out</a>. <a class="vt-p" href="http://www.japersrink.com/2010/12/14/1874721/tuesday-caps-clips-back-to-work" target="_blank">People are revolting</a>. <a class="vt-p" href="http://www.russianmachineneverbreaks.com/images/blog-masthead-dark2.jpg" target="_blank">He-who-can&#8217;t-be-named is now front and center on our site</a>. Despite it all, I still maintain we shouldn&#8217;t panic.</p>
<p>This week I am going to take a break from individual scoring chances and look at the team as a whole. I wrote over at WaPo that <a class="vt-p" href="http://voices.washingtonpost.com/capitalsinsider/statistical-analysis/statistical-analysis-dont-pani.html" target="_blank">this is just a string of bad luck</a> and wanted to go a little more in depth. As you probably know by now, I use a specific definition of <a class="vt-p" href="../2010/11/22/2010/10/24/caps-scoring-chances-thru-oct-24-2010/" target="_blank">what I consider a scoring chance</a> based on shot quality data and log everyone who is on the ice at the time using the script from <a class="vt-p" href="http://timeonice.com/xsc20.php" target="_blank">Vic Ferrari.</a> You can <a class="vt-p" href="https://spreadsheets.google.com/ccc?key=0Avav4WxQQLomdG1YNVFCdk1sWWE2S1g1N2ZPOVpCNnc&amp;hl=en" target="_blank">find the spreadsheet online</a> that summarizes each week, and I promise I will get it up to date in the next few days.</p>
<p>First, I want everyone to see how the Caps have been converting their scoring chances to goals. Or rather how they haven&#8217;t. Convert percentage is simply goals-for divided by scoring chances-for. I&#8217;ll use a 10-game moving average to help smooth out the highs and lows.  Period one on the chart is the average conversion percentage  of games 1 through 10, while period two is the average of games 2  through 11, and so on. Stats from the Nov 27 game vs CAR are not  included due to NHL.com errors.</p>
<p><span id="more-11524"></span></p>
<p><a class="vt-p" href="http://www.russianmachineneverbreaks.com/wp-content/uploads/2010/12/10gmMAConvert.jpg"><img class="aligncenter size-full wp-image-11525" title="Caps convert % on scoring chances - 10 game moving average" src="http://www.russianmachineneverbreaks.com/wp-content/uploads/2010/12/10gmMAConvert.jpg" alt="Caps convert % on scoring chances - 10 game moving average" width="533" height="357" /></a></p>
<p>As you can see, the Caps had a decent goal conversion rate which skyrocketed (35.7% vs TBL) and then <em>poof</em>! Offense gone. Hello 6-game losing streak.</p>
<p>Here it is in 5-game increments, except for the last six games which I grouped together. Remember, not all goals are scored from &#8220;dangerous&#8221; scoring areas, so they aren&#8217;t logged as chances.</p>
<div style="margin-left: 107px">
<table style="border-collapse:  collapse;table-layout:fixed; margin-bottom: 15px; text-align: center" border="0" cellspacing="0" cellpadding="0" width="375">
<tbody>
<tr height="15">
<td class="statHead2" width="75" height="15">#</td>
<td class="statHead2" width="75">SCF</td>
<td class="statHead2" width="75">GF</td>
<td class="statHead2" width="75">SCF/G</td>
<td class="statHead2" width="75">Convert%</td>
</tr>
<tr height="15">
<td height="15">1-5</td>
<td>82</td>
<td>17</td>
<td class="xl24">16.4</td>
<td class="xl25">20.7%</td>
</tr>
<tr height="15">
<td class="greyTD" height="15">6-10</td>
<td class="greyTD">91</td>
<td class="greyTD">15</td>
<td class="greyTD">18.2</td>
<td class="greyTD">16.5%</td>
</tr>
<tr height="15">
<td height="15">11-15</td>
<td>98</td>
<td>20</td>
<td class="xl24">19.6</td>
<td class="xl25">20.4%</td>
</tr>
<tr height="15">
<td class="greyTD" height="15">16-20</td>
<td class="greyTD">78</td>
<td class="greyTD">14</td>
<td class="greyTD">15.6</td>
<td class="greyTD">17.9%</td>
</tr>
<tr height="15">
<td height="15">21-25</td>
<td>74</td>
<td>14</td>
<td class="xl24">14.8</td>
<td class="xl25">18.9%</td>
</tr>
<tr height="15">
<td class="greyTD" height="15">26-31</td>
<td class="greyTD">123</td>
<td class="greyTD">8</td>
<td class="greyTD">20.5</td>
<td class="greyTD">6.5%</td>
</tr>
<tr height="15">
<td style="border-top: solid 1px grey;" height="15"><strong>Totals</strong></td>
<td style="border-top: solid 1px grey;"><strong>546</strong></td>
<td style="border-top: solid 1px grey;"><strong>88</strong></td>
<td class="xl24" style="border-top: solid 1px grey;"><strong>17.6</strong></td>
<td class="xl25" style="border-top: solid 1px grey;"><strong>16.1%</strong></td>
</tr>
</tbody>
</table>
</div>
<p>See? They are converting at almost a third of what they <em>consistently</em> did in the games earlier. Plus, they are getting three to five <strong>more</strong> scoring chances per game. Remember, scoring chances are high quality shots, so it is not as if those extra chances are 60 foot bombs from the point &#8211; they are from the &#8220;dangerous&#8221; areas on the ice.</p>
<p>Now I ask you: if a team is getting <strong>more</strong> chances per game and is converting on a third less than usual (including a game which saw three shots hit the post in two minutes), does it <em>really</em> mean the coach should be fired?</p>
<p>Didn&#8217;t think so.</p>
 
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		</item>
		<item>
		<title>Six-Game Losing Streaks Are Rare</title>
		<link>http://www.russianmachineneverbreaks.com/2010/12/13/six-game-losing-streaks-are-rare/</link>
		<comments>http://www.russianmachineneverbreaks.com/2010/12/13/six-game-losing-streaks-are-rare/#comments</comments>
		<pubDate>Mon, 13 Dec 2010 17:34:21 +0000</pubDate>
		<dc:creator>Neil Greenberg</dc:creator>
				<category><![CDATA[Statistical Analysis]]></category>
		<category><![CDATA[MATH]]></category>
		<category><![CDATA[Washington Capitals]]></category>

		<guid isPermaLink="false">http://www.russianmachineneverbreaks.com/?p=11482</guid>
		<description><![CDATA[Photo credit: Jim McIsaac/Getty Images Losing seven to nothing is bad, but when it extends your losing streak to six games you have to ask: is it time to panic yet? Sure, there are plays where the blueliners make you want to rip your hair out, but the scoring chances are there &#8212; the lighting [...]]]></description>
				<content:encoded><![CDATA[<p><a href="http://www.russianmachineneverbreaks.com/wp-content/uploads/2010/12/seminSad.jpg"><img class="alignnone size-full wp-image-11500" title="seminSad" src="http://www.russianmachineneverbreaks.com/wp-content/uploads/2010/12/seminSad.jpg" alt="seminSad" width="607"  style="border: solid 1px #00204d" /></a></p>
<p><em>Photo credit: Jim McIsaac/Getty Images</em></p>
<p><a href="http://www.russianmachineneverbreaks.com/2010/12/12/rangers-beat-caps-7-0-initiate-panic-protocol/" target="_blank">Losing seven to nothing is bad</a>, but when it extends your losing streak to six games you have to ask: <strong>is it time to panic yet?</strong></p>
<p>Sure, there are plays where the blueliners make you want to rip your hair out, but the scoring chances are there &#8212; the lighting of the lamp isn&#8217;t. So how often should a team as <span style="text-decoration: line-through;">good</span> average as the Washington Capitals lose six games in a row?</p>
<p><span id="more-11482"></span></p>
<p>Since we know how many goals-for the Caps generate per game this year (3.06), and how many they give up (2.88), we can use the <a href="http://en.wikipedia.org/wiki/Pythagorean_expectation" target="_blank">Pythagorean formula to figure out how often they should win against an average team</a>. In this case, they should beat an average team 53% of the time. Using a Monte Carlo simulator to simulate 10,000 82-game seasons we can see how often a 6-game losing skid should occur just by random chance alone. Keep in mind these streaks are the longest in any given 82-game simulated season, so when you see a 5-game streak, that was the longest streak in that given simulated season.</p>
<p style="text-align: center;">
<div id="attachment_11489" class="wp-caption aligncenter" style="width: 520px"><a href="http://www.russianmachineneverbreaks.com/wp-content/uploads/2010/12/streak1.jpg"><img class="size-full wp-image-11489  " title="streak" src="http://www.russianmachineneverbreaks.com/wp-content/uploads/2010/12/streak1.jpg" alt="Longest losing streaks by simulated season" width="510" height="398" /></a><p class="wp-caption-text">Longest losing streaks by simulated season</p></div>
<p style="text-align: center;">
<p>A team with the same goals-for and goals-against ratios like <strong>this year&#8217;s Capitals should experience a 6-game losing streak about once every 5 years</strong>. When you factor in the team is without their top defensive pair of Mike Green and Jeff Schultz and they are <a href="http://voices.washingtonpost.com/capitalsinsider/statistical-analysis/statistical-analysis-dont-pani.html" target="_blank">seeing some very, VERY bad luck lately</a>, it still looks bad, but it is no time to panic. Yet.</p>
 
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		</item>
		<item>
		<title>Shutouts With Five Goals Against Are Rare</title>
		<link>http://www.russianmachineneverbreaks.com/2010/11/24/shutouts-with-five-goals-against-are-rare/</link>
		<comments>http://www.russianmachineneverbreaks.com/2010/11/24/shutouts-with-five-goals-against-are-rare/#comments</comments>
		<pubDate>Wed, 24 Nov 2010 19:17:15 +0000</pubDate>
		<dc:creator>Neil Greenberg</dc:creator>
				<category><![CDATA[Opinion]]></category>
		<category><![CDATA[Statistical Analysis]]></category>
		<category><![CDATA[MATH]]></category>
		<category><![CDATA[Shutout]]></category>
		<category><![CDATA[Washington Capitals]]></category>

		<guid isPermaLink="false">http://www.russianmachineneverbreaks.com/?p=10599</guid>
		<description><![CDATA[How bad is bad? (Photo credit: Andy Marlin) Getting shut out twice in three games is bad, but when they both involve giving up five goals against it is definitely no laughing matter. All teams, even Cup contenders, eventually have to pick up their socks, but how often does it get this bad? In the last two years [...]]]></description>
				<content:encoded><![CDATA[<p><a class="vt-p" href="http://www.russianmachineneverbreaks.com/wp-content/uploads/2010/11/david-steckel-skates-away.jpeg"><img class="alignnone size-full wp-image-10621" style="border: solid 1px #00204d" title="David Steckel skates away after another Devils goal." src="http://www.russianmachineneverbreaks.com/wp-content/uploads/2010/11/david-steckel-skates-away.jpeg" alt="David Steckel skates away after another Devils goal." width="607" /></a></p>
<p><em>How bad is bad? (Photo credit: Andy Marlin)</em></p>
<p>Getting <a class="vt-p" href="http://www.russianmachineneverbreaks.com/2010/11/22/devils-beat-caps-5-0/" target="_blank">shut out twice in three games</a> is bad, but when they both involve giving up five goals against it is definitely <a class="vt-p" href="http://sports.yahoo.com/nhl/blog/puck_daddy/post/Did-Ovechkin-Semin-cross-line-with-postgame-Kov?urn=nhl-288487" target="_blank">no laughing matter</a>. All teams, even Cup contenders, eventually have to <a class="vt-p" href="http://voices.washingtonpost.com/dcsportsbog/2010/11/capitals_must_pick_up_their_so.html?wprss=dcsportsbog" target="_blank">pick up their socks</a>, but how often does it get <em>this bad?</em></p>
<p>In the last two years there have been 2,460 regular season games played. In that time a 5-0 shut out by the home team has happened only 12 times. The visiting team has accomplished this feat only five times, making five-zip shutouts as a whole rare birds indeed.</p>
<p><strong>But how often should it happen against a team as good as the Washington Capitals?</strong><br />
<span id="more-10599"></span>There are surely other <span style="text-decoration: line-through;">more correct</span> ways to do this, but my iPad is too austere for a full-fledged spreadsheet.</p>
<p>Here&#8217;s what we know: Over the past two years and this season so far, the Caps have averaged 33.0 shots on goal per game with a shooting percentage of 10.8%. They have given up 27.3 shots a game while their goalies have saved them at a .906 clip.</p>
<p>We pop these into our handy-dandy Monte Carlo simulator, run it for 10,000 times, and see how often a 0-5 shutout should occur just by random chance alone.</p>
<table style="border-collapse:  collapse;table-layout:fixed; margin-bottom: 15px" border="1" cellspacing="0" cellpadding="0" width="607">
<colgroup>
<col class="xl28" width="73"></col>
<col width="43"></col>
<col span="4" width="50"></col>
<col span="5" width="43"></col>
<col class="xl27" width="79"></col>
</colgroup>
<tbody>
<tr height="15">
<td class="xl28" width="73" height="15"></td>
<td class="xl25" colspan="2" width="93"><strong>Goals Against</strong></td>
<td width="50"></td>
<td width="50"></td>
<td width="50"></td>
<td width="43"></td>
<td width="43"></td>
<td width="43"></td>
<td width="43"></td>
<td width="43"></td>
<td class="xl27" width="73"></td>
</tr>
<tr class="xl27" style="text-align: center;" height="15">
<td class="xl27" height="15"><strong>Goals For</strong></td>
<td class="xl27"><strong>0</strong></td>
<td class="xl27"><strong>1</strong></td>
<td class="xl27"><strong>2</strong></td>
<td class="xl27"><strong>3</strong></td>
<td class="xl27"><strong>4</strong></td>
<td class="xl27"><strong>5</strong></td>
<td class="xl27"><strong>6</strong></td>
<td class="xl27"><strong>7</strong></td>
<td class="xl27"><strong>8</strong></td>
<td class="xl27"><strong>9</strong></td>
<td class="xl27"><strong>Total</strong></td>
</tr>
<tr style="text-align: center;" height="15">
<td class="xl27" height="15"><strong>0</strong></td>
<td class="xl24" align="right">0.22%</td>
<td class="xl24" align="right">0.59%</td>
<td class="xl24" align="right">0.94%</td>
<td class="xl24" align="right">0.80%</td>
<td class="xl24" align="right">0.50%</td>
<td class="xl30" align="right"><strong><span style="color: #ff0000;">0.21%</span></strong></td>
<td class="xl24" align="right">0.10%</td>
<td class="xl24" align="right">0.02%</td>
<td class="xl24" align="right">0.00%</td>
<td class="xl24" align="right">0.00%</td>
<td class="xl29" align="right">3.38%</td>
</tr>
<tr height="15">
<td class="xl27" style="text-align: center;" height="15"><strong>1</strong></td>
<td class="xl24" align="right">0.67%</td>
<td class="xl24" align="right">2.19%</td>
<td class="xl24" align="right">3.08%</td>
<td class="xl24" align="right">2.78%</td>
<td class="xl24" align="right">1.86%</td>
<td class="xl24" align="right">0.89%</td>
<td class="xl24" align="right">0.29%</td>
<td class="xl24" align="right">0.06%</td>
<td class="xl24" align="right">0.01%</td>
<td class="xl24" align="right">0.00%</td>
<td class="xl29" align="right">11.83%</td>
</tr>
<tr height="15">
<td class="xl27" style="text-align: center;" height="15"><strong>2</strong></td>
<td class="xl24" align="right">1.47%</td>
<td class="xl24" align="right">4.07%</td>
<td class="xl24" align="right">4.97%</td>
<td class="xl24" align="right">4.46%</td>
<td class="xl24" align="right">3.13%</td>
<td class="xl24" align="right">1.29%</td>
<td class="xl24" align="right">0.55%</td>
<td class="xl24" align="right">0.15%</td>
<td class="xl24" align="right">0.02%</td>
<td class="xl24" align="right">0.01%</td>
<td class="xl29" align="right">20.12%</td>
</tr>
<tr height="15">
<td class="xl27" style="text-align: center;" height="15"><strong>3</strong></td>
<td class="xl24" align="right">1.37%</td>
<td class="xl24" align="right">4.91%</td>
<td class="xl24" align="right">6.31%</td>
<td class="xl24" align="right">5.74%</td>
<td class="xl24" align="right">3.06%</td>
<td class="xl24" align="right">1.63%</td>
<td class="xl24" align="right">0.57%</td>
<td class="xl24" align="right">0.24%</td>
<td class="xl24" align="right">0.05%</td>
<td class="xl24" align="right">0.02%</td>
<td class="xl29" align="right">23.90%</td>
</tr>
<tr height="15">
<td class="xl27" style="text-align: center;" height="15"><strong>4</strong></td>
<td class="xl24" align="right">1.44%</td>
<td class="xl24" align="right">3.99%</td>
<td class="xl24" align="right">5.30%</td>
<td class="xl24" align="right">4.36%</td>
<td class="xl24" align="right">2.63%</td>
<td class="xl24" align="right">1.34%</td>
<td class="xl24" align="right">0.47%</td>
<td class="xl24" align="right">0.15%</td>
<td class="xl24" align="right">0.05%</td>
<td class="xl24" align="right">0.01%</td>
<td class="xl29" align="right">19.74%</td>
</tr>
<tr height="15">
<td class="xl27" style="text-align: center;" height="15"><strong>5</strong></td>
<td class="xl24" align="right">0.87%</td>
<td class="xl24" align="right">2.37%</td>
<td class="xl24" align="right">3.03%</td>
<td class="xl24" align="right">2.59%</td>
<td class="xl24" align="right">1.65%</td>
<td class="xl24" align="right">0.62%</td>
<td class="xl24" align="right">0.24%</td>
<td class="xl24" align="right">0.07%</td>
<td class="xl24" align="right">0.01%</td>
<td class="xl24" align="right">0.01%</td>
<td class="xl29" align="right">11.46%</td>
</tr>
<tr height="15">
<td class="xl27" style="text-align: center;" height="15"><strong>6</strong></td>
<td class="xl24" align="right">0.38%</td>
<td class="xl24" align="right">1.20%</td>
<td class="xl24" align="right">1.66%</td>
<td class="xl24" align="right">1.45%</td>
<td class="xl24" align="right">0.67%</td>
<td class="xl24" align="right">0.46%</td>
<td class="xl24" align="right">0.11%</td>
<td class="xl24" align="right">0.06%</td>
<td class="xl24" align="right">0.01%</td>
<td class="xl24" align="right">0.00%</td>
<td class="xl29" align="right">6.00%</td>
</tr>
<tr height="15">
<td class="xl27" style="text-align: center;" height="15"><strong>7</strong></td>
<td class="xl24" align="right">0.14%</td>
<td class="xl24" align="right">0.55%</td>
<td class="xl24" align="right">0.59%</td>
<td class="xl24" align="right">0.60%</td>
<td class="xl24" align="right">0.32%</td>
<td class="xl24" align="right">0.18%</td>
<td class="xl24" align="right">0.07%</td>
<td class="xl24" align="right">0.03%</td>
<td class="xl24" align="right">0.01%</td>
<td class="xl24" align="right">0.00%</td>
<td class="xl29" align="right">2.49%</td>
</tr>
<tr height="15">
<td class="xl27" style="text-align: center;" height="15"><strong>8</strong></td>
<td class="xl24" align="right">0.04%</td>
<td class="xl24" align="right">0.17%</td>
<td class="xl24" align="right">0.23%</td>
<td class="xl24" align="right">0.17%</td>
<td class="xl24" align="right">0.09%</td>
<td class="xl24" align="right">0.04%</td>
<td class="xl24" align="right">0.02%</td>
<td class="xl24" align="right">0.02%</td>
<td class="xl24" align="right">0.00%</td>
<td class="xl24" align="right">0.00%</td>
<td class="xl29" align="right">0.78%</td>
</tr>
<tr height="15">
<td class="xl27" style="text-align: center;" height="15"><strong>9</strong></td>
<td class="xl24" align="right">0.01%</td>
<td class="xl24" align="right">0.05%</td>
<td class="xl24" align="right">0.04%</td>
<td class="xl24" align="right">0.09%</td>
<td class="xl24" align="right">0.03%</td>
<td class="xl24" align="right">0.04%</td>
<td class="xl24" align="right">0.00%</td>
<td class="xl24" align="right">0.00%</td>
<td class="xl24" align="right">0.00%</td>
<td class="xl24" align="right">0.00%</td>
<td class="xl29" align="right">0.26%</td>
</tr>
<tr height="15">
<td class="xl27" style="text-align: center;" height="15"><strong>10</strong></td>
<td class="xl24" align="right">0.00%</td>
<td class="xl24" align="right">0.01%</td>
<td class="xl24" align="right">0.01%</td>
<td class="xl24" align="right">0.01%</td>
<td class="xl24" align="right">0.00%</td>
<td class="xl24" align="right">0.00%</td>
<td class="xl24" align="right">0.00%</td>
<td class="xl24" align="right">0.00%</td>
<td class="xl24" align="right">0.00%</td>
<td class="xl24" align="right">0.00%</td>
<td class="xl29" align="right">0.03%</td>
</tr>
<tr height="15">
<td class="xl27" style="text-align: center;" height="15"><strong>11</strong></td>
<td class="xl24" align="right">0.01%</td>
<td class="xl24" align="right">0.00%</td>
<td class="xl24" align="right">0.00%</td>
<td class="xl24" align="right">0.00%</td>
<td class="xl24" align="right">0.00%</td>
<td class="xl24" align="right">0.00%</td>
<td class="xl24" align="right">0.00%</td>
<td class="xl24" align="right">0.00%</td>
<td class="xl24" align="right">0.00%</td>
<td class="xl24" align="right">0.00%</td>
<td class="xl29" align="right">0.01%</td>
</tr>
<tr class="xl25" height="15">
<td class="xl27" height="15">Grand Total</td>
<td class="xl26" align="right">6.62%</td>
<td class="xl26" align="right">20.10%</td>
<td class="xl26" align="right">26.16%</td>
<td class="xl26" align="right">23.05%</td>
<td class="xl26" align="right">13.94%</td>
<td class="xl26" align="right">6.70%</td>
<td class="xl26" align="right">2.42%</td>
<td class="xl26" align="right">0.80%</td>
<td class="xl26" align="right">0.16%</td>
<td class="xl26" align="right">0.05%</td>
<td class="xl29" align="right">100.00%</td>
</tr>
</tbody>
</table>
<p>Over 10,000 games (both home and away) the Caps should be shut out and give up five goals 0.21% of the time &#8211; almost a third as likely as we have seen in the NHL these last two years. We can take this as an indication that this past week&#8211; while <em>very</em> rare&#8211; still happens and there is no reason to panic. Not yet at least.</p>
 
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		<item>
		<title>Who&#8217;s the best #8 seed for the Caps?</title>
		<link>http://www.russianmachineneverbreaks.com/2010/04/04/whos-the-best-8-seed-for-the-caps/</link>
		<comments>http://www.russianmachineneverbreaks.com/2010/04/04/whos-the-best-8-seed-for-the-caps/#comments</comments>
		<pubDate>Mon, 05 Apr 2010 01:54:44 +0000</pubDate>
		<dc:creator>Neil Greenberg</dc:creator>
				<category><![CDATA[Opinion]]></category>
		<category><![CDATA[Statistical Analysis]]></category>
		<category><![CDATA[Boston Bruins]]></category>
		<category><![CDATA[MATH]]></category>
		<category><![CDATA[New York Rangers]]></category>
		<category><![CDATA[Philadelphia Flyers]]></category>
		<category><![CDATA[Washington Capitals]]></category>

		<guid isPermaLink="false">http://www.russianmachineneverbreaks.com/?p=2876</guid>
		<description><![CDATA[I posted on Twitter (in haste) that I would like to see the Boston Bruins in the first round of the playoffs as the 8th seed, but upon further review, I&#8217;m not so sure. I took a look at the Goals Finished/Goals Allowed for WSH, BOS, NYR and PHI, both on the road and at [...]]]></description>
				<content:encoded><![CDATA[<p><a href="http://www.russianmachineneverbreaks.com/wp-content/uploads/2010/04/caps-score-goal-against-bruins.jpg"><img class="alignnone size-full wp-image-2898" style="border: solid 1px #00204d" title="Caps Score Against Boston- Photo by Elsa of Getty Images" src="http://www.russianmachineneverbreaks.com/wp-content/uploads/2010/04/caps-score-goal-against-bruins.jpg" alt="caps-score-goal-against-bruins" width="607" height="455" /></a></p>
<p>I <a href="http://twitter.com/ngreenberg/status/11609959865" target="_blank">posted on Twitter</a> (in haste) that I would like to see the <strong>Boston Bruins</strong> in the first round of the playoffs as the 8th seed, but upon further review, I&#8217;m not so sure.</p>
<p>I took a look at the Goals Finished/Goals Allowed for WSH, BOS, NYR and PHI, both on the road and at home, and came up with <a href="http://en.wikipedia.org/wiki/Pythagorean_expectation" target="_blank">expected winning percentages</a> for each team. I then used <a href="http://www.hardballtimes.com/main/article/a-short-digression-into-log5/" target="_blank">Log5</a> to predict the Caps chances of winning each game whether it is played at home or on the road.</p>
<p><strong>The expected Win % for the Caps and their possible first round opponents:</strong></p>
<ul>
<li>WSH, .670 Home, .613 Away</li>
<li>BOS, .490 Home, .521 Away</li>
<li>PHI, .579 Home, .458 Away</li>
<li>NYR, .533 Home, .475 Away</li>
</ul>
<p>For example, if the Caps meet Boston in the first round, Washington has an expected  winning percentage at home of .670 while Boston is expected to have a win % of .521 on the road. Using Log5, we can determine that the Caps have a 65% chance of winning a game against Boston at the Verizon Center.</p>
<p>I then figure out the Caps&#8217; win % based on every possible outcome of a 7 game series &#8211; and yes, that includes ALL possible combinations  for a 7 game series (WWWW, WWLWW, WWWLLW, etc.).</p>
<p>Intuitively I wanted the Caps to face the Marc Savard-less Bruins in the first round, but based on the chances of the Caps winning against Boston in a 7 game series, I have changed my mind. Here&#8217;s why:</p>
<p>The Caps have a 78.1% chance of beating Boston in a 7 game series. Not bad, considering that they have a 77.44% chance of beating Philadelphia. But the best case scenario for the Caps, based on probability of winning, is meeting the New York Rangers in the first round &#8211; where the probability of winning a 7 game series is 79.25%.</p>
<p>(<em>ed note: Excel gave me wonky %, which have been updated, however NYR remains the best possible opponent</em>)</p>
 
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		<item>
		<title>Will Ovechkin Reach the &#8220;Rocket&#8221; Richard Trophy?</title>
		<link>http://www.russianmachineneverbreaks.com/2010/03/29/will-ovechkin-reach-the-rocket-richard-trophy/</link>
		<comments>http://www.russianmachineneverbreaks.com/2010/03/29/will-ovechkin-reach-the-rocket-richard-trophy/#comments</comments>
		<pubDate>Tue, 30 Mar 2010 01:53:08 +0000</pubDate>
		<dc:creator>Peter Hassett</dc:creator>
				<category><![CDATA[Fedor Fedin]]></category>
		<category><![CDATA[Alex Ovechkin]]></category>
		<category><![CDATA[MATH]]></category>
		<category><![CDATA[Sidney Crosby]]></category>
		<category><![CDATA[Steven Stamkos]]></category>

		<guid isPermaLink="false">http://www.russianmachineneverbreaks.com/?p=2714</guid>
		<description><![CDATA[Before his suspension, injury, and second suspension, Alex Ovechkin was easily on the way to getting the Maurice &#8220;Rocket&#8221; Richard Trophy for the third time in his career. Since the Olympic break, the Russian Machine&#8217;s goal production has slowed, allowing the much-loved Sidney Crosby and the fresh-faced Steven Stamkos to catch him. On Sunday evening, Crosby scored [...]]]></description>
				<content:encoded><![CDATA[<p><a href="http://www.russianmachineneverbreaks.com/wp-content/uploads/2010/03/alex-ovechkin-hot-stick.jpg"><img src="http://www.russianmachineneverbreaks.com/wp-content/uploads/2010/03/alex-ovechkin-hot-stick.jpg" alt="alex-ovechkin-hot-stick" title="alex-ovechkin-hot-stick" width="607" height="360" class="alignnone size-full wp-image-2719" style="border: solid 1px #00204d" /></a></p>
<p>Before his suspension, injury, and second suspension, <strong>Alex Ovechkin</strong> was easily on the way to getting the Maurice &#8220;Rocket&#8221; Richard Trophy for the third time in his career.  Since the Olympic break, the Russian Machine&#8217;s goal production has slowed, allowing the much-loved <strong>Sidney Crosby</strong> and the fresh-faced <strong>Steven Stamkos</strong> to catch him.  On Sunday evening, Crosby scored two goals to take the lead with 47 goals.  He now leads Ovie by 1 and Stamkos by 2.</p>
<p>With only a handful of games left in the regular season, can the Great Eight summon up the same magic he wielded from early in the season? RMNB contributor Fedor Fedin braved scary numbers to project how the remaining games will shake out.</p>
<p><span id="more-2714"></span></p>
<p><a href="http://www.russianmachineneverbreaks.com/wp-content/uploads/2010/03/NewStats.png"><img class="aligncenter size-full wp-image-2715" title="NewStats" src="http://www.russianmachineneverbreaks.com/wp-content/uploads/2010/03/NewStats.png" alt="NewStats" width="516" height="626" /></a></p>
<p>First, Fedor calculated the average number of goals scored per game (both career and this season) against the opponents remaining on each player&#8217;s schedule.   Summing up those goals and rounding down is as close as we can come to an estimated season-end goal total.  Then we snorted a massive load of salt due to the small sample size.   Finally, using both the career and season goal averages, <strong>Ovechkin should win the Rocket!</strong></p>
<p>Ovechkin will have to surmount two obstacles to win it.  He&#8217;s in the middle of a significant slump, and Stamkos and Crosby have picked up the pace with recent multiple-goal games.  Should we be worried? We don&#8217;t think so.  Alex responds well to pressure, and it&#8217;s safe to say his competitors don&#8217;t have the <a target="_blank" href="http://www.youtube.com/watch?v=5Ak8Jf-EEoE">same drive to get 50 goals</a> like he does. Only time will tell.  But we&#8217;re certainly optimistic.</p>
<p><em>[Ed. note -  The always-excellent hockey blog </em><a href="http://peerlessprognosticator.blogspot.com/2010/03/race-for-hardware-ross-and-richard.html" target="_blank"><em>The Peerless Prognosticator beat us to the press</em></a><em> by a few hours on this one.  His methodology is slightly different,  but we reached the same conclusion.  So we extend a digital high five his way. ]</em></p>
 
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