<?xml version="1.0" encoding="utf-8"?><!DOCTYPE article  PUBLIC '-//OASIS//DTD DocBook XML V4.4//EN'  'http://www.docbook.org/xml/4.4/docbookx.dtd'><article><articleinfo><title>FAQ/polych</title><revhistory><revision><revnumber>5</revnumber><date>2013-03-08 10:17:41</date><authorinitials>localhost</authorinitials><revremark>converted to 1.6 markup</revremark></revision><revision><revnumber>4</revnumber><date>2009-10-30 12:12:27</date><authorinitials>PeterWatson</authorinitials></revision><revision><revnumber>3</revnumber><date>2009-10-30 12:12:12</date><authorinitials>PeterWatson</authorinitials></revision><revision><revnumber>2</revnumber><date>2009-10-30 12:08:34</date><authorinitials>PeterWatson</authorinitials></revision><revision><revnumber>1</revnumber><date>2009-10-30 12:07:37</date><authorinitials>PeterWatson</authorinitials></revision></revhistory></articleinfo><section><title>EXCEL spreadsheet for polychoric correlation computation</title><para>This <ulink url="https://lsr-wiki-02.mrc-cbu.cam.ac.uk/statswiki/FAQ/polych/statswiki/FAQ/polych?action=AttachFile&amp;do=get&amp;target=polychoric.xls">spreadsheet</ulink> may be used to evaluate polychoric correlations. The raw data with upto four categories per variable (coded 1 to 4) is entered in sheet one for upto 15 variables and a data set having upto 800 points. Polychoric correlations are then outputted in sheet 2. Note: for skewed variables leading to the possible non-occurrence of category combinations for variable pairs the estimation may not be possible and #VALUE will be returned. <ulink url="https://lsr-wiki-02.mrc-cbu.cam.ac.uk/statswiki/FAQ/polych/statswiki/FAQ/polychoric#">Other options</ulink> for estimating polychorics are available which may handle more substantial skew than this spreadsheet. </para><para>One advantage of using a spreadsheet to compute polychoric correlations is that the correlation matrinx in sheet 2 may be copied and pasted into a SPSS spreadsheet and inputted for an exploratory factor analysis. See <ulink url="http://imaging.mrc-cbu.cam.ac.uk/statswiki/StatsCourse2009">the Factor Analysis Graduate Talk 2009</ulink> for an example of how to do this. </para><para>Anecdotal evidence suggests Pearson correlations can be used for factor analysis is the variables have five or more categories and are approximately have a Normal distribution. The R 'hetcor' routine for estimating Polychoric correlations may also be installed into SPSS version 17 and above (see <ulink url="https://lsr-wiki-02.mrc-cbu.cam.ac.uk/statswiki/FAQ/polych/statswiki/FAQ/polych?action=AttachFile&amp;do=get&amp;target=joao.pdf">here.</ulink>)   </para></section></article>