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    <title>topic Re: Has anyone attempted to use jittering to accomodate quantile regression with count data in SAS Forecasting and Econometrics</title>
    <link>https://communities.sas.com/t5/SAS-Forecasting-and-Econometrics/Has-anyone-attempted-to-use-jittering-to-accomodate-quantile/m-p/152258#M955</link>
    <description>&lt;HTML&gt;&lt;HEAD&gt;&lt;/HEAD&gt;&lt;BODY&gt;&lt;P&gt;Would it be possible to do a quantile regression of the log(counts)?&amp;nbsp; Back before there were special procedures for regression of count data, that was a standard technique.&amp;nbsp; For example, here's a log-linear analysis of (the mean of) count data by using PROC GENMOD: &lt;A href="http://support.sas.com/documentation/cdl/en/statug/66859/HTML/default/viewer.htm#statug_genmod_examples07.htm" title="http://support.sas.com/documentation/cdl/en/statug/66859/HTML/default/viewer.htm#statug_genmod_examples07.htm"&gt;SAS/STAT(R) 13.1 User's Guide&lt;/A&gt;&lt;/P&gt;&lt;/BODY&gt;&lt;/HTML&gt;</description>
    <pubDate>Mon, 02 Jun 2014 16:51:02 GMT</pubDate>
    <dc:creator>Rick_SAS</dc:creator>
    <dc:date>2014-06-02T16:51:02Z</dc:date>
    <item>
      <title>Has anyone attempted to use jittering to accomodate quantile regression with count data</title>
      <link>https://communities.sas.com/t5/SAS-Forecasting-and-Econometrics/Has-anyone-attempted-to-use-jittering-to-accomodate-quantile/m-p/152257#M954</link>
      <description>&lt;HTML&gt;&lt;HEAD&gt;&lt;/HEAD&gt;&lt;BODY&gt;&lt;P&gt;I&amp;nbsp; have count data and am interested in quantile regression. There has been some work in this area using ' jittering'&amp;nbsp; which adds a random uniform component to values creating a continuous dependent variable which can then be used in QR. I'm not sure how this impacts things like standard errors etc. There are packages in R and Stata that handle this, but I'm curious if anyone has attemtped this in SAS or has any suggestions. A couple references:&lt;/P&gt;&lt;P&gt;&lt;/P&gt;&lt;P&gt;&lt;SPAN style="mso-bidi-language: AR-SA; mso-fareast-language: EN-US; mso-bidi-font-family: 'Times New Roman'; color: #222222; font-size: 11.5pt; mso-ansi-language: EN-US; mso-fareast-theme-font: minor-latin; font-family: 'Georgia','serif'; mso-fareast-font-family: Calibri;"&gt;&lt;STRONG&gt;Reforming health care: Evidence from quantile&lt;BR /&gt;regressions for counts&lt;BR /&gt;&lt;BR /&gt;Rainer Winkelmann&lt;BR /&gt;&lt;BR /&gt;Journal of Health Economics 25 (2006) 131–145&lt;/STRONG&gt;&lt;/SPAN&gt;&lt;SPAN style="color: #222222; font-family: 'Georgia','serif'; font-size: 11.5pt; mso-fareast-font-family: Calibri; mso-fareast-theme-font: minor-latin; mso-bidi-font-family: 'Times New Roman'; mso-ansi-language: EN-US; mso-fareast-language: EN-US; mso-bidi-language: AR-SA;"&gt; &lt;BR /&gt;&lt;BR /&gt;&lt;EM&gt;"Basically, the approach transforms the discrete data problem into a&lt;BR /&gt;continuous data problem by adding a random uniform variable to each count. The&lt;BR /&gt;quantile regression functions of the transformed variable can then be estimated&lt;BR /&gt;using standard quantile regression software. To interpret the results, one can&lt;BR /&gt;compare the freely estimated quantile functions to those implied by the&lt;BR /&gt;respective Poisson or negative binomial estimates in order to detect excess&lt;BR /&gt;sensitivity in specific parts of the distribution, such as the lower or upper&lt;BR /&gt;tails."&lt;/EM&gt;&lt;BR /&gt;&lt;BR /&gt;See also:&lt;EM&gt; &lt;/EM&gt;&lt;BR /&gt;&lt;BR /&gt;&lt;STRONG&gt;Machado, J.A.F. and Santos Silva, J.M.C. (2005), Quantiles for Counts,&lt;BR /&gt;Journal of the American Statistical Association, vol. 100, no. 472, pp. 1226-1237.&lt;/STRONG&gt;&lt;BR /&gt;&lt;BR /&gt;&lt;BR /&gt;&lt;/SPAN&gt;&lt;/P&gt;&lt;/BODY&gt;&lt;/HTML&gt;</description>
      <pubDate>Fri, 09 May 2014 16:14:33 GMT</pubDate>
      <guid>https://communities.sas.com/t5/SAS-Forecasting-and-Econometrics/Has-anyone-attempted-to-use-jittering-to-accomodate-quantile/m-p/152257#M954</guid>
      <dc:creator>SlutskyFan</dc:creator>
      <dc:date>2014-05-09T16:14:33Z</dc:date>
    </item>
    <item>
      <title>Re: Has anyone attempted to use jittering to accomodate quantile regression with count data</title>
      <link>https://communities.sas.com/t5/SAS-Forecasting-and-Econometrics/Has-anyone-attempted-to-use-jittering-to-accomodate-quantile/m-p/152258#M955</link>
      <description>&lt;HTML&gt;&lt;HEAD&gt;&lt;/HEAD&gt;&lt;BODY&gt;&lt;P&gt;Would it be possible to do a quantile regression of the log(counts)?&amp;nbsp; Back before there were special procedures for regression of count data, that was a standard technique.&amp;nbsp; For example, here's a log-linear analysis of (the mean of) count data by using PROC GENMOD: &lt;A href="http://support.sas.com/documentation/cdl/en/statug/66859/HTML/default/viewer.htm#statug_genmod_examples07.htm" title="http://support.sas.com/documentation/cdl/en/statug/66859/HTML/default/viewer.htm#statug_genmod_examples07.htm"&gt;SAS/STAT(R) 13.1 User's Guide&lt;/A&gt;&lt;/P&gt;&lt;/BODY&gt;&lt;/HTML&gt;</description>
      <pubDate>Mon, 02 Jun 2014 16:51:02 GMT</pubDate>
      <guid>https://communities.sas.com/t5/SAS-Forecasting-and-Econometrics/Has-anyone-attempted-to-use-jittering-to-accomodate-quantile/m-p/152258#M955</guid>
      <dc:creator>Rick_SAS</dc:creator>
      <dc:date>2014-06-02T16:51:02Z</dc:date>
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