<?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/dunp</title><revhistory><revision><revnumber>6</revnumber><date>2013-03-08 10:17:39</date><authorinitials>localhost</authorinitials><revremark>converted to 1.6 markup</revremark></revision><revision><revnumber>5</revnumber><date>2010-07-22 13:12:35</date><authorinitials>PeterWatson</authorinitials></revision><revision><revnumber>4</revnumber><date>2010-07-22 13:07:45</date><authorinitials>PeterWatson</authorinitials></revision><revision><revnumber>3</revnumber><date>2010-07-22 13:07:08</date><authorinitials>PeterWatson</authorinitials></revision><revision><revnumber>2</revnumber><date>2010-07-22 12:52:46</date><authorinitials>PeterWatson</authorinitials></revision><revision><revnumber>1</revnumber><date>2010-07-22 12:47:37</date><authorinitials>PeterWatson</authorinitials></revision></revhistory></articleinfo><section><title>Sample sizes for testing differences in an unpaired t-test</title><para>A popular effect size for t-tests (unpaired or paired) is Cohen's d which represents the standardized difference between two group means. The highlighted rows in the table below represent small, medium and large effect sizes as suggested by Cohen (1988). This table gives sample sizes required in <emphasis>each</emphasis> of the two groups. </para><informaltable><tgroup cols="9"><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"/><tbody><row rowsep="1"><entry colsep="1" nameend="col_4" namest="col_0" rowsep="1"/><entry colsep="1" nameend="col_6" namest="col_5" rowsep="1"><para>90% </para></entry><entry colsep="1" nameend="col_8" namest="col_7" rowsep="1"><para>80% </para></entry></row><row rowsep="1"><entry colsep="1" nameend="col_4" namest="col_0" rowsep="1"><para> d </para></entry><entry colsep="1" rowsep="1"><para> 1-tailed </para></entry><entry colsep="1" rowsep="1"><para> 2-tailed </para></entry><entry colsep="1" rowsep="1"><para> 1-tailed </para></entry><entry colsep="1" rowsep="1"><para> 2-tailed </para></entry></row><row rowsep="1"><entry colsep="1" nameend="col_4" namest="col_0" rowsep="1"><para> 0.1 </para></entry><entry colsep="1" rowsep="1"><para> 1708 </para></entry><entry colsep="1" rowsep="1"><para> 2096 </para></entry><entry colsep="1" rowsep="1"><para> 1234 </para></entry><entry colsep="1" rowsep="1"><para> 1568 </para></entry></row><row rowsep="1"><entry colsep="1" nameend="col_4" namest="col_0" rowsep="1"><para> <emphasis role="strong">0.2</emphasis> </para></entry><entry colsep="1" rowsep="1"><para> <emphasis role="strong">428</emphasis> </para></entry><entry colsep="1" rowsep="1"><para> <emphasis role="strong">525</emphasis> </para></entry><entry colsep="1" rowsep="1"><para> <emphasis role="strong">310</emphasis> </para></entry><entry colsep="1" rowsep="1"><para> <emphasis role="strong">393</emphasis> </para></entry></row><row rowsep="1"><entry colsep="1" nameend="col_4" namest="col_0" rowsep="1"><para> 0.3 </para></entry><entry colsep="1" rowsep="1"><para> 191 </para></entry><entry colsep="1" rowsep="1"><para> 234 </para></entry><entry colsep="1" rowsep="1"><para> 138 </para></entry><entry colsep="1" rowsep="1"><para> 175 </para></entry></row><row rowsep="1"><entry colsep="1" nameend="col_4" namest="col_0" rowsep="1"><para> 0.4 </para></entry><entry colsep="1" rowsep="1"><para> 108 </para></entry><entry colsep="1" rowsep="1"><para> 133 </para></entry><entry colsep="1" rowsep="1"><para> 78 </para></entry><entry colsep="1" rowsep="1"><para> 100 </para></entry></row><row rowsep="1"><entry colsep="1" nameend="col_4" namest="col_0" rowsep="1"><para> <emphasis role="strong">0.5</emphasis> </para></entry><entry colsep="1" rowsep="1"><para> <emphasis role="strong">70</emphasis> </para></entry><entry colsep="1" rowsep="1"><para> <emphasis role="strong">85</emphasis> </para></entry><entry colsep="1" rowsep="1"><para> <emphasis role="strong">51</emphasis> </para></entry><entry colsep="1" rowsep="1"><para>  <emphasis role="strong">64</emphasis> </para></entry></row><row rowsep="1"><entry colsep="1" nameend="col_4" namest="col_0" rowsep="1"><para> 0.6 </para></entry><entry colsep="1" rowsep="1"><para> 49 </para></entry><entry colsep="1" rowsep="1"><para> 60 </para></entry><entry colsep="1" rowsep="1"><para> 36 </para></entry><entry colsep="1" rowsep="1"><para> 45 </para></entry></row><row rowsep="1"><entry colsep="1" nameend="col_4" namest="col_0" rowsep="1"><para> 0.7 </para></entry><entry colsep="1" rowsep="1"><para> 36 </para></entry><entry colsep="1" rowsep="1"><para> 45 </para></entry><entry colsep="1" rowsep="1"><para> 27 </para></entry><entry colsep="1" rowsep="1"><para> 34 </para></entry></row><row rowsep="1"><entry colsep="1" nameend="col_4" namest="col_0" rowsep="1"><para> <emphasis role="strong">0.8</emphasis> </para></entry><entry colsep="1" rowsep="1"><para> <emphasis role="strong">28</emphasis> </para></entry><entry colsep="1" rowsep="1"><para> <emphasis role="strong">34</emphasis> </para></entry><entry colsep="1" rowsep="1"><para> <emphasis role="strong">21</emphasis> </para></entry><entry colsep="1" rowsep="1"><para> <emphasis role="strong">26</emphasis> </para></entry></row><row rowsep="1"><entry colsep="1" nameend="col_4" namest="col_0" rowsep="1"><para> 0.9 </para></entry><entry colsep="1" rowsep="1"><para> 23 </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> 21 </para></entry></row><row rowsep="1"><entry colsep="1" nameend="col_4" namest="col_0" rowsep="1"><para> 1.0 </para></entry><entry colsep="1" rowsep="1"><para> 19 </para></entry><entry colsep="1" rowsep="1"><para> 23 </para></entry><entry colsep="1" rowsep="1"><para> 14 </para></entry><entry colsep="1" rowsep="1"><para> 17 </para></entry></row><row rowsep="1"><entry colsep="1" nameend="col_4" namest="col_0" rowsep="1"><para> 1.1 </para></entry><entry colsep="1" rowsep="1"><para> 16 </para></entry><entry colsep="1" rowsep="1"><para> 19 </para></entry><entry colsep="1" rowsep="1"><para> 12 </para></entry><entry colsep="1" rowsep="1"><para> 15 </para></entry></row><row rowsep="1"><entry colsep="1" nameend="col_4" namest="col_0" rowsep="1"><para> 1.2 </para></entry><entry colsep="1" rowsep="1"><para> 13 </para></entry><entry colsep="1" rowsep="1"><para> 16 </para></entry><entry colsep="1" rowsep="1"><para> 10 </para></entry><entry colsep="1" rowsep="1"><para> 13 </para></entry></row><row rowsep="1"><entry colsep="1" nameend="col_4" namest="col_0" rowsep="1"><para> 1.3 </para></entry><entry colsep="1" rowsep="1"><para> 12 </para></entry><entry colsep="1" rowsep="1"><para> 14 </para></entry><entry colsep="1" rowsep="1"><para> 9 </para></entry><entry colsep="1" rowsep="1"><para> 11 </para></entry></row></tbody></tgroup></informaltable></section></article>