<?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/tab801</title><revhistory><revision><revnumber>4</revnumber><date>2013-03-08 10:17:13</date><authorinitials>localhost</authorinitials><revremark>converted to 1.6 markup</revremark></revision><revision><revnumber>3</revnumber><date>2010-07-22 14:07:43</date><authorinitials>PeterWatson</authorinitials></revision><revision><revnumber>2</revnumber><date>2010-07-22 14:06:49</date><authorinitials>PeterWatson</authorinitials></revision><revision><revnumber>1</revnumber><date>2010-07-22 14:01:35</date><authorinitials>PeterWatson</authorinitials></revision></revhistory></articleinfo><section><title>Sample sizes per group for 80% power with a one-tailed test of independent proportions</title><para>The table below gives the sample size to get 80% power required in <emphasis>each</emphasis> group where the group proportions are as in the row and column for a one-tailed type I error of 5%. </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> 158 </para></entry><entry colsep="1" rowsep="1"><para> 50  </para></entry><entry colsep="1" rowsep="1"><para> 27  </para></entry><entry colsep="1" rowsep="1"><para> 17  </para></entry><entry colsep="1" rowsep="1"><para> 12  </para></entry><entry colsep="1" rowsep="1"><para> 9   </para></entry><entry colsep="1" rowsep="1"><para> 7   </para></entry><entry colsep="1" rowsep="1"><para> 5   </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> 232 </para></entry><entry colsep="1" rowsep="1"><para> 66  </para></entry><entry colsep="1" rowsep="1"><para> 32  </para></entry><entry colsep="1" rowsep="1"><para> 19  </para></entry><entry colsep="1" rowsep="1"><para> 13  </para></entry><entry colsep="1" rowsep="1"><para> 9   </para></entry><entry colsep="1" rowsep="1"><para> 7   </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> 282 </para></entry><entry colsep="1" rowsep="1"><para> 75  </para></entry><entry colsep="1" rowsep="1"><para> 35  </para></entry><entry colsep="1" rowsep="1"><para> 20  </para></entry><entry colsep="1" rowsep="1"><para> 13  </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">0.4</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> 307 </para></entry><entry colsep="1" rowsep="1"><para> 78  </para></entry><entry colsep="1" rowsep="1"><para> 35  </para></entry><entry colsep="1" rowsep="1"><para> 19  </para></entry><entry colsep="1" rowsep="1"><para> 12  </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> 307 </para></entry><entry colsep="1" rowsep="1"><para> 75  </para></entry><entry colsep="1" rowsep="1"><para> 32  </para></entry><entry colsep="1" rowsep="1"><para> 17  </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> 282 </para></entry><entry colsep="1" rowsep="1"><para> 66  </para></entry><entry colsep="1" rowsep="1"><para> 27  </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> 232 </para></entry><entry colsep="1" rowsep="1"><para> 50  </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> 158 </para></entry></row></tbody></tgroup></informaltable></section></article>