<?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/stepints</title><revhistory><revision><revnumber>12</revnumber><date>2014-04-22 17:27:32</date><authorinitials>PeterWatson</authorinitials></revision><revision><revnumber>11</revnumber><date>2013-08-07 11:35:39</date><authorinitials>PeterWatson</authorinitials></revision><revision><revnumber>10</revnumber><date>2013-03-08 10:17:37</date><authorinitials>localhost</authorinitials><revremark>converted to 1.6 markup</revremark></revision><revision><revnumber>9</revnumber><date>2012-06-26 13:08:02</date><authorinitials>PeterWatson</authorinitials></revision><revision><revnumber>8</revnumber><date>2012-06-26 13:07:37</date><authorinitials>PeterWatson</authorinitials></revision><revision><revnumber>7</revnumber><date>2009-04-06 15:39:25</date><authorinitials>PeterWatson</authorinitials></revision><revision><revnumber>6</revnumber><date>2009-04-06 15:37:51</date><authorinitials>PeterWatson</authorinitials></revision><revision><revnumber>5</revnumber><date>2009-04-06 15:37:16</date><authorinitials>PeterWatson</authorinitials></revision><revision><revnumber>4</revnumber><date>2009-04-06 15:35:30</date><authorinitials>PeterWatson</authorinitials></revision><revision><revnumber>3</revnumber><date>2009-04-06 15:35:05</date><authorinitials>PeterWatson</authorinitials></revision><revision><revnumber>2</revnumber><date>2009-03-26 16:25:16</date><authorinitials>PeterWatson</authorinitials></revision><revision><revnumber>1</revnumber><date>2009-03-26 16:15:35</date><authorinitials>PeterWatson</authorinitials></revision></revhistory></articleinfo><section><title>Using single variables to represent interactions</title><para>This <ulink url="https://lsr-wiki-02.mrc-cbu.cam.ac.uk/statswiki/FAQ/stepints/statswiki/FAQ/stepints?action=AttachFile&amp;do=get&amp;target=birril.pdf">paper</ulink> suggests a way of using residuals to represent interaction terms to enable a stepwise (forward or backward) comparison of the interactions can be performed in SPSS. This overcomes the problem of having to have the main effects and any lower order interactions in a model, at all times, in a model with higher order interactions. For example the need for all models to contain main effects A and B when assessing the A x B interaction.  </para><para>The rationale for the above method uses the fact that an interaction is the extra information in a product over and above that given by the combination of terms comprising that interaction e.g. a Downs Syndrome (Yes/No) group x age interaction represents the differences in an outcome at a given age over and above that expected assuming age has the same relationship with outcome in both groups and a constant difference in outcome between the two groups (tested by fitting the interaction in a model already containing the main effects of age and group). </para><para>Agresti (1996, pp 127-129) illustrates a backward elimination approach to comparing interactions in logistic regression. </para><para><emphasis role="underline">References</emphasis> </para><para>Agresti, A. (1996) An introduction to categorical data analysis. Wiley:New York. </para><para>Burrill, D. (1998). Modelling and interpreting interactions in multiple regression. [On-line]. Also available at: <ulink url="http://www.minitab.com/uploadedFiles/Shared_Resources/Documents/Articles/interactions_in_multiple_regression.pdf"/>. </para></section></article>