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	<title>Comments on: Theoretical explanation for numerical results</title>
	<atom:link href="http://www.johndcook.com/blog/2008/09/28/theoretical-explanation-for-numerical-results/feed/" rel="self" type="application/rss+xml" />
	<link>http://www.johndcook.com/blog/2008/09/28/theoretical-explanation-for-numerical-results/</link>
	<description>The blog of John D. Cook</description>
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		<title>By: Welford&#8217;s method for calculating the sample variance: An implementation in Scheme &#124; Left Censored</title>
		<link>http://www.johndcook.com/blog/2008/09/28/theoretical-explanation-for-numerical-results/comment-page-1/#comment-122796</link>
		<dc:creator>Welford&#8217;s method for calculating the sample variance: An implementation in Scheme &#124; Left Censored</dc:creator>
		<pubDate>Sat, 17 Dec 2011 16:44:27 +0000</pubDate>
		<guid isPermaLink="false">http://www.johndcook.com/blog/?p=455#comment-122796</guid>
		<description>[...] definitions. He provides a Monte Carlo comparison of methods here, and a theoretical discussion here. He has also provides a C++ implementation of Welford&#8217;s method [...]</description>
		<content:encoded><![CDATA[<p>[...] definitions. He provides a Monte Carlo comparison of methods here, and a theoretical discussion here. He has also provides a C++ implementation of Welford&#8217;s method [...]</p>
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		<title>By: Running Variance &#124; TaylorTree</title>
		<link>http://www.johndcook.com/blog/2008/09/28/theoretical-explanation-for-numerical-results/comment-page-1/#comment-55730</link>
		<dc:creator>Running Variance &#124; TaylorTree</dc:creator>
		<pubDate>Thu, 16 Dec 2010 03:06:47 +0000</pubDate>
		<guid isPermaLink="false">http://www.johndcook.com/blog/?p=455#comment-55730</guid>
		<description>[...] Theoretical explanation for numerical results [...]</description>
		<content:encoded><![CDATA[<p>[...] Theoretical explanation for numerical results [...]</p>
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		<title>By: Diana</title>
		<link>http://www.johndcook.com/blog/2008/09/28/theoretical-explanation-for-numerical-results/comment-page-1/#comment-41210</link>
		<dc:creator>Diana</dc:creator>
		<pubDate>Mon, 05 Jul 2010 03:24:46 +0000</pubDate>
		<guid isPermaLink="false">http://www.johndcook.com/blog/?p=455#comment-41210</guid>
		<description>&quot;I don&#039;t know&quot;</description>
		<content:encoded><![CDATA[<p>&#8220;I don&#8217;t know&#8221;</p>
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		<title>By: Diana</title>
		<link>http://www.johndcook.com/blog/2008/09/28/theoretical-explanation-for-numerical-results/comment-page-1/#comment-41209</link>
		<dc:creator>Diana</dc:creator>
		<pubDate>Mon, 05 Jul 2010 03:23:50 +0000</pubDate>
		<guid isPermaLink="false">http://www.johndcook.com/blog/?p=455#comment-41209</guid>
		<description>Thank you again! I don&#039;t why I didn&#039;t see it before :O</description>
		<content:encoded><![CDATA[<p>Thank you again! I don&#8217;t why I didn&#8217;t see it before :O</p>
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		<title>By: John</title>
		<link>http://www.johndcook.com/blog/2008/09/28/theoretical-explanation-for-numerical-results/comment-page-1/#comment-41197</link>
		<dc:creator>John</dc:creator>
		<pubDate>Sun, 04 Jul 2010 19:59:58 +0000</pubDate>
		<guid isPermaLink="false">http://www.johndcook.com/blog/?p=455#comment-41197</guid>
		<description>Diana: Please see the references at the bottom of &lt;a href=&quot;http://www.johndcook.com/standard_deviation.html&quot; rel=&quot;nofollow&quot;&gt;this page&lt;/a&gt;.</description>
		<content:encoded><![CDATA[<p>Diana: Please see the references at the bottom of <a href="http://www.johndcook.com/standard_deviation.html" rel="nofollow">this page</a>.</p>
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	<item>
		<title>By: Diana</title>
		<link>http://www.johndcook.com/blog/2008/09/28/theoretical-explanation-for-numerical-results/comment-page-1/#comment-41195</link>
		<dc:creator>Diana</dc:creator>
		<pubDate>Sun, 04 Jul 2010 19:32:54 +0000</pubDate>
		<guid isPermaLink="false">http://www.johndcook.com/blog/?p=455#comment-41195</guid>
		<description>While working on my undergraduate thesis, I had to choose a convenient way to calculate variance using a DSP (for finding the power of two signals). That’s how I came across your blog and I decided to implement my design using the methods of: direct formula method and Welford’s method having satisfactory results with both of them, but overall preferring the Welford’s method. 
In the book of my thesis I mentioned the disadvantages that you pointed out about the sum of squares formula, but now I’m being asked for a more formal bibliographical source (I put a link to this blog entry) or for an statistical study. I appreciate if you could tell me how to find any of those sources because if I can’t give those references I’ll have to remove the whole topic of the selection of the variance method, and I wouldn’t like that because I think it was very relevant in the design.
Thank you so much for your help</description>
		<content:encoded><![CDATA[<p>While working on my undergraduate thesis, I had to choose a convenient way to calculate variance using a DSP (for finding the power of two signals). That’s how I came across your blog and I decided to implement my design using the methods of: direct formula method and Welford’s method having satisfactory results with both of them, but overall preferring the Welford’s method.<br />
In the book of my thesis I mentioned the disadvantages that you pointed out about the sum of squares formula, but now I’m being asked for a more formal bibliographical source (I put a link to this blog entry) or for an statistical study. I appreciate if you could tell me how to find any of those sources because if I can’t give those references I’ll have to remove the whole topic of the selection of the variance method, and I wouldn’t like that because I think it was very relevant in the design.<br />
Thank you so much for your help</p>
]]></content:encoded>
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		<title>By: Walking Randomly &#187; Fun with linspace and the colon operator in MATLAB</title>
		<link>http://www.johndcook.com/blog/2008/09/28/theoretical-explanation-for-numerical-results/comment-page-1/#comment-14512</link>
		<dc:creator>Walking Randomly &#187; Fun with linspace and the colon operator in MATLAB</dc:creator>
		<pubDate>Fri, 13 Mar 2009 12:10:56 +0000</pubDate>
		<guid isPermaLink="false">http://www.johndcook.com/blog/?p=455#comment-14512</guid>
		<description>[...] things like the order of operations matters.  This sort of thing has been discussed many times by people considerably more erudite than me so I refer you to them for [...]</description>
		<content:encoded><![CDATA[<p>[...] things like the order of operations matters.  This sort of thing has been discussed many times by people considerably more erudite than me so I refer you to them for [...]</p>
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