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	<title>Noel Schutt &#187; 2010 Olympics</title>
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		<title>Olympics</title>
		<link>http://schutt.org/blog/2010/03/olympics/</link>
		<comments>http://schutt.org/blog/2010/03/olympics/#comments</comments>
		<pubDate>Tue, 02 Mar 2010 01:06:01 +0000</pubDate>
		<dc:creator>Noel</dc:creator>
				<category><![CDATA[statistics]]></category>
		<category><![CDATA[2010 Olympics]]></category>
		<category><![CDATA[Vancouver]]></category>
		<category><![CDATA[Whistler]]></category>

		<guid isPermaLink="false">http://schutt.org/blog/?p=570</guid>
		<description><![CDATA[I enjoyed watching the Whistler/Vancouver Olympics. As anyone who knows me would guess, I was excited to watch the Nordic events, since the Olympics are the only time they are on broadcast TV in the USA. This was a good year for Team USA, with the first Nordic Combined medals. And it&#8217;s fun to watch [...]]]></description>
			<content:encoded><![CDATA[<p>I enjoyed watching the Whistler/Vancouver Olympics. As anyone who knows me would guess, I was excited to watch the Nordic events, since the Olympics are the only time they are on broadcast TV in the USA. This was a good year for Team USA, with the first Nordic Combined medals. And it&#8217;s fun to watch some of the speed skating, Alpine skiing, and hockey. NBC&#8217;s coverage of the Olympics seemed better than usual, but still has plenty of room for improvement. They did an OK job of showing the Nordic sports, but still wasted a lot of time on things like figure skating warmups and personal interest stories.</p>
<p>With the TV and newspapers constantly referencing medal counts, I thought it would be interesting to come up with a good measure of how well each country performed. The problem with medal counts is that it gives an advantage to large countries that enter a  number of athletes. I am much more impressed when a small or poor country enters a couple athletes who perform better than expected than I am by professional athletes from larger countries. One way create a combined score would be to give 3 points for gold, 2 for silver, 1 for bronze, then add the points up by country and divide by the number of athletes from that country. A better way would be something like:</p>
<p><a href="http://schutt.org/blog/wp-content/uploads/2010/03/olyeqn.png"><img src="http://schutt.org/blog/wp-content/uploads/2010/03/olyeqn.png" alt="\frac{1}{c_a}\sum_{s}{\frac{1}{a}\sum_{a}{\frac{n - a_p + 1}{n}}}" title="\frac{1}{c_a}\sum_{s}{\frac{1}{a}\sum_{a}{\frac{n - a_p + 1}{n}}}" width="181" height="45" class="alignnone size-full wp-image-574" /></a></p>
<p>Where:<br />
n == number of athletes in an event<br />
a<sub>p</sub> == the finishing rank of an athlete (1 = gold)<br />
a == the number of athletes a nation entered in an event<br />
s == all events<br />
c<sub>a</sub> == the number of events a nation entered</p>
<p>This will give an average score for each country, compensating for some countries entering more athletes. While watching a couple events, I started scraping the results from the Vancouver 2010 website. This took a longer than expected, so I never got around to doing the calculations. Since I haven&#8217;t seen the results posted as nice clean CSV files anywhere, I&#8217;ll post them for others to use. I ran out of time before including the results for curling and hockey.</p>
<p>Now, if only the Olympics would go back to being amateurs only&#8230;</p>
<p>Files:</p>
<ul>
<li><a href="http://schutt.org/files/2010-olympics.zip" title="2010 Winter Olympics results spreadsheets (CSV/TSV files)">2010 Winter Olympics results spreadsheets</a> (does not include hockey and curling)</li>
</ul>
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