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	<title>Comments on: How do you display a lopsided distribution?</title>
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	<link>http://peltiertech.com/WordPress/how-do-you-display-a-lopsided-distribution/</link>
	<description>Peltier Tech Excel Charts and Programming Blog</description>
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		<title>By: dwight</title>
		<link>http://peltiertech.com/WordPress/how-do-you-display-a-lopsided-distribution/comment-page-1/#comment-170978</link>
		<dc:creator>dwight</dc:creator>
		<pubDate>Fri, 06 Jan 2012 13:34:35 +0000</pubDate>
		<guid isPermaLink="false">http://peltiertech.com/WordPress/?p=1033#comment-170978</guid>
		<description>I would also greatly appreciate a descrption of how you recreated the economist chart.</description>
		<content:encoded><![CDATA[<p>I would also greatly appreciate a descrption of how you recreated the economist chart.</p>
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		<title>By: DaleW</title>
		<link>http://peltiertech.com/WordPress/how-do-you-display-a-lopsided-distribution/comment-page-1/#comment-22041</link>
		<dc:creator>DaleW</dc:creator>
		<pubDate>Wed, 11 Nov 2009 19:25:01 +0000</pubDate>
		<guid isPermaLink="false">http://peltiertech.com/WordPress/?p=1033#comment-22041</guid>
		<description>Jon,

Very cool, especially the use of a normalized semilog slope to quantify income disparity, and your final gradient chart on a log scale.  That Excel decile gradient chart is a nice alternative to the boxplot (even Fabrice&#039;s variant) when higher resolution is desired, and much easier to interpret than the Economist graphic.

Possibly the advantage of tracking mean income by decile is that it preserves the ability to exactly calculate an overall mean simply from the 10 decile points?  If we used purely robust methods and tracked the median of each decile as you suggested, such data wouldn&#039;t let us exactly reconstruct the overall mean -- or even median.  For practical purposes, either of those approaches allows a pretty decent reconstruction of the distribution, except for the ~ 5% tails.</description>
		<content:encoded><![CDATA[<p>Jon,</p>
<p>Very cool, especially the use of a normalized semilog slope to quantify income disparity, and your final gradient chart on a log scale.  That Excel decile gradient chart is a nice alternative to the boxplot (even Fabrice&#8217;s variant) when higher resolution is desired, and much easier to interpret than the Economist graphic.</p>
<p>Possibly the advantage of tracking mean income by decile is that it preserves the ability to exactly calculate an overall mean simply from the 10 decile points?  If we used purely robust methods and tracked the median of each decile as you suggested, such data wouldn&#8217;t let us exactly reconstruct the overall mean &#8212; or even median.  For practical purposes, either of those approaches allows a pretty decent reconstruction of the distribution, except for the ~ 5% tails.</p>
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	<item>
		<title>By: Jon Peltier</title>
		<link>http://peltiertech.com/WordPress/how-do-you-display-a-lopsided-distribution/comment-page-1/#comment-6263</link>
		<dc:creator>Jon Peltier</dc:creator>
		<pubDate>Thu, 20 Nov 2008 14:22:18 +0000</pubDate>
		<guid isPermaLink="false">http://peltiertech.com/WordPress/?p=1033#comment-6263</guid>
		<description>Fabrice has shared his box plot above and a second one that uses a log scale in &lt;a href=&quot;http://sparklines-excel.blogspot.com/2008/11/example-for-boxplot.html&quot; title=&quot;How to use BoxPlot charts&quot; rel=&quot;nofollow&quot;&gt;How to use BoxPlot charts&lt;/a&gt;.

&lt;p align=&quot;center&quot;&gt;&lt;a href=&quot;http://sparklines-excel.blogspot.com/2008/11/example-for-boxplot.html&quot; title=&quot;How to use BoxPlot charts&quot; rel=&quot;nofollow&quot;&gt;&lt;img src=&quot;http://peltiertech.com/WordPress/wp-content/img200811/fabrice-linscale-th.png&quot; alt=&quot;Linear Box Plot Thumbnail&quot; /&gt; &lt;img src=&quot;http://peltiertech.com/WordPress/wp-content/img200811/fabrice-logscale-th.png&quot; alt=&quot;Logarithmic Box Plot Thumbnail&quot; /&gt;&lt;/a&gt;&lt;/p&gt;</description>
		<content:encoded><![CDATA[<p>Fabrice has shared his box plot above and a second one that uses a log scale in <a href="http://sparklines-excel.blogspot.com/2008/11/example-for-boxplot.html" title="How to use BoxPlot charts" rel="nofollow">How to use BoxPlot charts</a>.</p>
<p align="center"><a href="http://sparklines-excel.blogspot.com/2008/11/example-for-boxplot.html" title="How to use BoxPlot charts" rel="nofollow"><img src="http://peltiertech.com/WordPress/wp-content/img200811/fabrice-linscale-th.png" alt="Linear Box Plot Thumbnail" /> <img src="http://peltiertech.com/WordPress/wp-content/img200811/fabrice-logscale-th.png" alt="Logarithmic Box Plot Thumbnail" /></a></p>
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		<title>By: Jon Peltier</title>
		<link>http://peltiertech.com/WordPress/how-do-you-display-a-lopsided-distribution/comment-page-1/#comment-6254</link>
		<dc:creator>Jon Peltier</dc:creator>
		<pubDate>Wed, 19 Nov 2008 21:46:48 +0000</pubDate>
		<guid isPermaLink="false">http://peltiertech.com/WordPress/?p=1033#comment-6254</guid>
		<description>Fabrice -

Nice. The boxplots lose resolution more in the way the stacked bars against a linear income scale lose resolution: everything at the lower end is compressed. You could apply a log scale, and the disparity in income would be easy to compare.</description>
		<content:encoded><![CDATA[<p>Fabrice -</p>
<p>Nice. The boxplots lose resolution more in the way the stacked bars against a linear income scale lose resolution: everything at the lower end is compressed. You could apply a log scale, and the disparity in income would be easy to compare.</p>
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	<item>
		<title>By: Fabrice</title>
		<link>http://peltiertech.com/WordPress/how-do-you-display-a-lopsided-distribution/comment-page-1/#comment-6252</link>
		<dc:creator>Fabrice</dc:creator>
		<pubDate>Wed, 19 Nov 2008 19:23:30 +0000</pubDate>
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		<description>Here is the boxplot chart :

&lt;p align=&quot;center&quot;&gt;&lt;a href=&quot;http://3.bp.blogspot.com/_giCGdxVQHS0/SSRm50vBErI/AAAAAAAAAkQ/wehCggYNH_g/s1600-h/sparklines+OCDE.jpg&quot; rel=&quot;nofollow&quot;&gt;&lt;img title=&quot;Income Distribution Boxplots&quot; src=&quot;http://peltiertech.com/WordPress/wp-content/img200811/fabrice-sparklines-skew.jpg&quot; alt=&quot;Income Distribution Boxplots&quot;&gt;&lt;/a&gt;&lt;/p&gt;
</description>
		<content:encoded><![CDATA[<p>Here is the boxplot chart :</p>
<p align="center"><a href="http://3.bp.blogspot.com/_giCGdxVQHS0/SSRm50vBErI/AAAAAAAAAkQ/wehCggYNH_g/s1600-h/sparklines+OCDE.jpg" rel="nofollow"><img title="Income Distribution Boxplots" src="http://peltiertech.com/WordPress/wp-content/img200811/fabrice-sparklines-skew.jpg" alt="Income Distribution Boxplots"/></a></p>
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		<title>By: Jon Peltier</title>
		<link>http://peltiertech.com/WordPress/how-do-you-display-a-lopsided-distribution/comment-page-1/#comment-6251</link>
		<dc:creator>Jon Peltier</dc:creator>
		<pubDate>Wed, 19 Nov 2008 18:58:12 +0000</pubDate>
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		<description>Fabrice - I did in fact think of that, but decided to leave it for another day.

Ran - That&#039;s 1....</description>
		<content:encoded><![CDATA[<p>Fabrice &#8211; I did in fact think of that, but decided to leave it for another day.</p>
<p>Ran &#8211; That&#8217;s 1&#8230;.</p>
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