<?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/uneqcovs</title><revhistory><revision><revnumber>4</revnumber><date>2013-03-08 10:17:37</date><authorinitials>localhost</authorinitials><revremark>converted to 1.6 markup</revremark></revision><revision><revnumber>3</revnumber><date>2011-01-12 14:58:13</date><authorinitials>PeterWatson</authorinitials></revision><revision><revnumber>2</revnumber><date>2011-01-12 14:56:37</date><authorinitials>PeterWatson</authorinitials></revision><revision><revnumber>1</revnumber><date>2011-01-12 14:56:14</date><authorinitials>PeterWatson</authorinitials></revision></revhistory></articleinfo><section><title>What do I do if I have unequal group covariance matrices when doing a MANOVA?</title><para>Tabachnick and Fidell (2007) suggest that Wilks Lambda should be used to compare 2 or more mean vectors between groups when doing a multivariate analysis of variance (MANOVA). If, however, Box's M test signifies that the group covariance matrices differ they suggest using Pillai's criterion as it has been found to have a more robust multivariate significance when the homogeneity of variance assumption is violated (Olson, 1979). Both these multivariate generalizations of the F test are outputted by the SPSS GLM and MANOVA procedures. </para><para><emphasis role="underline">References</emphasis> </para><para>Olson CL (1979) Practical considerations in choosing a MANOVA test statistic: A rejoinder to Stevens. Psychological Bulletin, 86, 1350-1352. </para><para>(A PDF copy of the above paper is available for CBSU users via <ulink url="https://imaging.mrc-cbu.cam.ac.uk/statswiki/FAQ/uneqcovs/statswiki/ScienceDirect#">ScienceDirect</ulink>). </para><para>Tabachnick BG and Fidell LS (2007) Using Multivariate Statistics. Pearson Education:Boston. </para></section></article>