<?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/pPow</title><revhistory><revision><revnumber>12</revnumber><date>2013-03-08 10:17:14</date><authorinitials>localhost</authorinitials><revremark>converted to 1.6 markup</revremark></revision><revision><revnumber>11</revnumber><date>2008-05-02 11:43:29</date><authorinitials>PeterWatson</authorinitials></revision><revision><revnumber>10</revnumber><date>2008-02-19 16:30:39</date><authorinitials>PeterWatson</authorinitials></revision><revision><revnumber>9</revnumber><date>2008-02-19 16:30:21</date><authorinitials>PeterWatson</authorinitials></revision><revision><revnumber>8</revnumber><date>2007-01-15 10:00:44</date><authorinitials>PeterWatson</authorinitials></revision><revision><revnumber>7</revnumber><date>2007-01-15 10:00:23</date><authorinitials>PeterWatson</authorinitials></revision><revision><revnumber>6</revnumber><date>2006-12-08 10:26:21</date><authorinitials>PeterWatson</authorinitials></revision><revision><revnumber>5</revnumber><date>2006-12-08 10:26:01</date><authorinitials>PeterWatson</authorinitials></revision><revision><revnumber>4</revnumber><date>2006-12-06 13:09:14</date><authorinitials>PeterWatson</authorinitials></revision><revision><revnumber>3</revnumber><date>2006-12-06 13:08:49</date><authorinitials>PeterWatson</authorinitials></revision><revision><revnumber>2</revnumber><date>2006-11-29 15:25:09</date><authorinitials>PeterWatson</authorinitials></revision><revision><revnumber>1</revnumber><date>2006-10-16 16:13:46</date><authorinitials>PeterWatson</authorinitials></revision></revhistory></articleinfo><itemizedlist><listitem override="none"><para>See also <ulink url="http://stat.ubc.ca/~rollin/stats/ssize/b1.html">here.</ulink> </para></listitem></itemizedlist><para>Computes power for testing prop=const where prop and const are observed and expected (constant) proportions respectively, ntot is the total sample size and alpha is the (two-tailed) type I error. Power computation is also available using a <ulink url="https://lsr-wiki-01.mrc-cbu.cam.ac.uk/statswiki/FAQ/power/pPow/statswiki/FAQ/power/pPow?action=AttachFile&amp;do=get&amp;target=bin1.xls">spreadsheet</ulink> and <ulink url="https://lsr-wiki-01.mrc-cbu.cam.ac.uk/statswiki/FAQ/power/pPow/statswiki/FAQ/Rpowprop#">in R.</ulink> </para><para>[COPY AND PASTE THE SYNTAX BELOW INTO A SPSS SYNTAX WINDOW AND RUN; SET DATA AS DESIRED]  </para><screen><![CDATA[DATA LIST free
/prop const ntot alpha. 
BEGIN DATA. 
0.45 0.5 900 .05 
END DATA. 
set errors=none.
matrix.
get m /variables=prop const ntot alpha /missing=omit.
compute prop=make(1,1,0).
compute const=make(1,1,0).
compute ntot=make(1,1,0).
compute alpha=make(1,1,0).
compute prop=m(:,1).
compute const=m(:,1).
compute ntot=m(:,2).
compute alpha=m(:,3).
end matrix.
COMPUTE #chisq1 = ((prop-const)**2)/(const*(1-const)).
compute #df=1.
compute #conf = 1-alpha.
compute #chisq=ntot*#chisq1.
compute power = 1 - NCDF.CHISQ(IDF.CHISQ(#conf,#DF),#DF,#CHISQ).
formats prop (f5.2) const (f5.2) alpha (f5.2) ntot (f5.2) power (f5.2).
variable labels prop 'Proportion' const 'Constant' /alpha 'Two-Tailed Alpha' /ntot 'Total Sample Size' /power 'Power'.
report format=list automatic align(center)
  /variables=prop const alpha ntot power 
  /title "Power for given sample size for One sample test for a single proportion" .]]></screen></article>