<?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/power/prop1s</title><revhistory><revision><revnumber>19</revnumber><date>2013-03-08 10:17:30</date><authorinitials>localhost</authorinitials><revremark>converted to 1.6 markup</revremark></revision><revision><revnumber>18</revnumber><date>2008-02-28 11:50:50</date><authorinitials>PeterWatson</authorinitials></revision><revision><revnumber>17</revnumber><date>2008-02-28 11:50:39</date><authorinitials>PeterWatson</authorinitials></revision><revision><revnumber>16</revnumber><date>2008-02-28 11:29:36</date><authorinitials>PeterWatson</authorinitials></revision><revision><revnumber>15</revnumber><date>2007-03-02 10:42:07</date><authorinitials>PeterWatson</authorinitials></revision><revision><revnumber>14</revnumber><date>2007-03-02 10:41:49</date><authorinitials>PeterWatson</authorinitials></revision><revision><revnumber>13</revnumber><date>2007-03-02 10:40:25</date><authorinitials>PeterWatson</authorinitials></revision><revision><revnumber>12</revnumber><date>2007-03-02 10:38:48</date><authorinitials>PeterWatson</authorinitials></revision><revision><revnumber>11</revnumber><date>2007-03-02 10:38:28</date><authorinitials>PeterWatson</authorinitials></revision><revision><revnumber>10</revnumber><date>2007-03-02 10:32:57</date><authorinitials>PeterWatson</authorinitials></revision><revision><revnumber>9</revnumber><date>2007-03-02 10:32:33</date><authorinitials>PeterWatson</authorinitials></revision><revision><revnumber>8</revnumber><date>2007-03-01 16:28:20</date><authorinitials>PeterWatson</authorinitials></revision><revision><revnumber>7</revnumber><date>2007-03-01 16:27:41</date><authorinitials>PeterWatson</authorinitials></revision><revision><revnumber>6</revnumber><date>2007-03-01 16:25:00</date><authorinitials>PeterWatson</authorinitials></revision><revision><revnumber>5</revnumber><date>2007-03-01 16:24:15</date><authorinitials>PeterWatson</authorinitials></revision><revision><revnumber>4</revnumber><date>2007-03-01 16:23:52</date><authorinitials>PeterWatson</authorinitials></revision><revision><revnumber>3</revnumber><date>2007-03-01 16:23:19</date><authorinitials>PeterWatson</authorinitials></revision><revision><revnumber>2</revnumber><date>2007-03-01 16:20:14</date><authorinitials>PeterWatson</authorinitials></revision><revision><revnumber>1</revnumber><date>2007-03-01 16:16:41</date><authorinitials>PeterWatson</authorinitials></revision></revhistory></articleinfo><para>The <ulink url="https://lsr-wiki-02.mrc-cbu.cam.ac.uk/statswiki/FAQ/power/prop1s/statswiki/FAQ/power/prop1s?action=AttachFile&amp;do=get&amp;target=prop1s.xls">spreadsheet</ulink> gives the power for inputted group proportions (which should sum to 1), Type I error and a given total sample size. The expected proportions assume equal group sizes. Power may also be obtained <ulink url="https://lsr-wiki-02.mrc-cbu.cam.ac.uk/statswiki/FAQ/power/prop1s/statswiki/FAQ/onesamppow#">using R.</ulink> </para><para>The expected effect size, $$\omega$$, defined below is from Cohen (1977,1988, Chap 7).  </para><para>$$\omega = \sqrt{ \sum_text{1}<superscript>text{no. groups} \frac{\mbox{(observed proportion - expected proportion)}</superscript>text{2}}{ \mbox{ expected proportion}}}$$ </para><para>The thresholds 0.1, 0.3, 0.5 correspond to small, medium and large $$\omega$$ effect sizes. </para></article>