<?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/tab902</title><revhistory><revision><revnumber>3</revnumber><date>2013-03-08 10:17:40</date><authorinitials>localhost</authorinitials><revremark>converted to 1.6 markup</revremark></revision><revision><revnumber>2</revnumber><date>2010-07-22 14:20:40</date><authorinitials>PeterWatson</authorinitials></revision><revision><revnumber>1</revnumber><date>2010-07-22 14:20:30</date><authorinitials>PeterWatson</authorinitials></revision></revhistory></articleinfo><section><title>Sample sizes required per group for 90 power with a two-tailed test of the difference in two independent proportions</title><para>The proportions for the two groups are represented by the row and column proportions. </para><informaltable><tgroup cols="19"><colspec colname="col_0"/><colspec colname="col_1"/><colspec colname="col_2"/><colspec colname="col_3"/><colspec colname="col_4"/><colspec colname="col_5"/><colspec colname="col_6"/><colspec colname="col_7"/><colspec colname="col_8"/><colspec colname="col_9"/><colspec colname="col_10"/><colspec colname="col_11"/><colspec colname="col_12"/><colspec colname="col_13"/><colspec colname="col_14"/><colspec colname="col_15"/><colspec colname="col_16"/><colspec colname="col_17"/><colspec colname="col_18"/><tbody><row rowsep="1"><entry align="center" colsep="1" nameend="col_9" namest="col_0" rowsep="1"/><entry colsep="1" rowsep="1"><para> <emphasis role="strong">0.1</emphasis> </para></entry><entry colsep="1" rowsep="1"><para> <emphasis role="strong">0.2</emphasis> </para></entry><entry colsep="1" rowsep="1"><para> <emphasis role="strong">0.3</emphasis> </para></entry><entry colsep="1" rowsep="1"><para> <emphasis role="strong">0.4</emphasis> </para></entry><entry colsep="1" rowsep="1"><para> <emphasis role="strong">0.5</emphasis> </para></entry><entry colsep="1" rowsep="1"><para> <emphasis role="strong">0.6</emphasis> </para></entry><entry colsep="1" rowsep="1"><para> <emphasis role="strong">0.7</emphasis> </para></entry><entry colsep="1" rowsep="1"><para> <emphasis role="strong">0.8</emphasis> </para></entry><entry colsep="1" rowsep="1"><para> <emphasis role="strong">0.9</emphasis> </para></entry></row><row rowsep="1"><entry align="center" colsep="1" nameend="col_9" namest="col_0" rowsep="1"><para> <emphasis role="strong">0.1</emphasis> </para></entry><entry colsep="1" rowsep="1"/><entry colsep="1" rowsep="1"><para> 269 </para></entry><entry colsep="1" rowsep="1"><para> 85  </para></entry><entry colsep="1" rowsep="1"><para> 45  </para></entry><entry colsep="1" rowsep="1"><para> 28  </para></entry><entry colsep="1" rowsep="1"><para> 20  </para></entry><entry colsep="1" rowsep="1"><para> 15   </para></entry><entry colsep="1" rowsep="1"><para> 11   </para></entry><entry colsep="1" rowsep="1"><para> 9   </para></entry></row><row rowsep="1"><entry align="center" colsep="1" nameend="col_9" namest="col_0" rowsep="1"><para> <emphasis role="strong">0.2</emphasis> </para></entry><entry colsep="1" rowsep="1"/><entry colsep="1" rowsep="1"/><entry colsep="1" rowsep="1"><para> 395 </para></entry><entry colsep="1" rowsep="1"><para> 111  </para></entry><entry colsep="1" rowsep="1"><para> 54  </para></entry><entry colsep="1" rowsep="1"><para> 32  </para></entry><entry colsep="1" rowsep="1"><para> 22  </para></entry><entry colsep="1" rowsep="1"><para> 15   </para></entry><entry colsep="1" rowsep="1"><para> 11   </para></entry></row><row rowsep="1"><entry align="center" colsep="1" nameend="col_9" namest="col_0" rowsep="1"><para> <emphasis role="strong">0.3</emphasis> </para></entry><entry colsep="1" rowsep="1"/><entry colsep="1" rowsep="1"/><entry colsep="1" rowsep="1"/><entry colsep="1" rowsep="1"><para> 479 </para></entry><entry colsep="1" rowsep="1"><para> 127  </para></entry><entry colsep="1" rowsep="1"><para> 58  </para></entry><entry colsep="1" rowsep="1"><para> 33  </para></entry><entry colsep="1" rowsep="1"><para> 22  </para></entry><entry colsep="1" rowsep="1"><para> 15   </para></entry></row><row rowsep="1"><entry align="center" colsep="1" nameend="col_9" namest="col_0" rowsep="1"><para> <emphasis role="strong">0.4</emphasis> </para></entry><entry colsep="1" rowsep="1"/><entry colsep="1" rowsep="1"/><entry colsep="1" rowsep="1"/><entry colsep="1" rowsep="1"/><entry colsep="1" rowsep="1"><para> 521 </para></entry><entry colsep="1" rowsep="1"><para> 132  </para></entry><entry colsep="1" rowsep="1"><para> 58  </para></entry><entry colsep="1" rowsep="1"><para> 32  </para></entry><entry colsep="1" rowsep="1"><para> 20  </para></entry></row><row rowsep="1"><entry align="center" colsep="1" nameend="col_9" namest="col_0" rowsep="1"><para> <emphasis role="strong">0.5</emphasis> </para></entry><entry colsep="1" rowsep="1"/><entry colsep="1" rowsep="1"/><entry colsep="1" rowsep="1"/><entry colsep="1" rowsep="1"/><entry colsep="1" rowsep="1"/><entry colsep="1" rowsep="1"><para> 521 </para></entry><entry colsep="1" rowsep="1"><para> 127  </para></entry><entry colsep="1" rowsep="1"><para> 54  </para></entry><entry colsep="1" rowsep="1"><para> 28  </para></entry></row><row rowsep="1"><entry align="center" colsep="1" nameend="col_9" namest="col_0" rowsep="1"><para> <emphasis role="strong">0.6</emphasis> </para></entry><entry colsep="1" rowsep="1"/><entry colsep="1" rowsep="1"/><entry colsep="1" rowsep="1"/><entry colsep="1" rowsep="1"/><entry colsep="1" rowsep="1"/><entry colsep="1" rowsep="1"/><entry colsep="1" rowsep="1"><para> 479 </para></entry><entry colsep="1" rowsep="1"><para> 111  </para></entry><entry colsep="1" rowsep="1"><para> 45  </para></entry></row><row rowsep="1"><entry align="center" colsep="1" nameend="col_9" namest="col_0" rowsep="1"><para> <emphasis role="strong">0.7</emphasis> </para></entry><entry colsep="1" rowsep="1"/><entry colsep="1" rowsep="1"/><entry colsep="1" rowsep="1"/><entry colsep="1" rowsep="1"/><entry colsep="1" rowsep="1"/><entry colsep="1" rowsep="1"/><entry colsep="1" rowsep="1"/><entry colsep="1" rowsep="1"><para> 395 </para></entry><entry colsep="1" rowsep="1"><para> 85  </para></entry></row><row rowsep="1"><entry align="center" colsep="1" nameend="col_9" namest="col_0" rowsep="1"><para> <emphasis role="strong">0.8</emphasis> </para></entry><entry colsep="1" rowsep="1"/><entry colsep="1" rowsep="1"/><entry colsep="1" rowsep="1"/><entry colsep="1" rowsep="1"/><entry colsep="1" rowsep="1"/><entry colsep="1" rowsep="1"/><entry colsep="1" rowsep="1"/><entry colsep="1" rowsep="1"/><entry colsep="1" rowsep="1"><para> 269 </para></entry></row></tbody></tgroup></informaltable></section></article>