<?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/thresholds</title><revhistory><revision><revnumber>19</revnumber><date>2013-03-08 10:17:27</date><authorinitials>localhost</authorinitials><revremark>converted to 1.6 markup</revremark></revision><revision><revnumber>18</revnumber><date>2012-07-09 13:36:23</date><authorinitials>PeterWatson</authorinitials><revremark>Revert to revision 14.</revremark></revision><revision><revnumber>17</revnumber><date>2012-07-07 17:29:32</date><authorinitials>196.197.idc.iprimus.net.au</authorinitials><revremark>RiaDZw , [url=http://gmisrlprwlvh.com/]gmisrlprwlvh[/url], [link=http://ysxfillmtfwx.com/]ysxfillmtfwx[/link], http://skgvzxyduxny.com/</revremark></revision><revision><revnumber>16</revnumber><date>2012-07-07 01:31:58</date><authorinitials>server.vpcp.org</authorinitials><revremark>vyQHI2  &lt;a href=&quot;http://hnmritxtjdxn.com/&quot;&gt;hnmritxtjdxn&lt;/a&gt;</revremark></revision><revision><revnumber>15</revnumber><date>2012-07-05 10:07:04</date><authorinitials>overlong.sounddefeated.com</authorinitials><revremark>Most powerful&amp;cost efftveice SEO and website traffic service in world get up to 100’000 forum backlinks now! 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Stevens (1992) suggests using a cut-off of 0.4, irrespective of sample size, for interpretative purposes. When the items have different frequency distributions Tabachnick and Fidell (2007) follow Comrey and Lee (1992) in suggesting using more stringent cut-offs going from 0.32 (<emphasis>poor</emphasis>), 0.45 (<emphasis>fair</emphasis>), 0.55 (<emphasis>good</emphasis>), 0.63 (<emphasis>very good</emphasis>) or 0.71 (<emphasis>excellent</emphasis>).  </para><para><ulink url="https://lsr-wiki-01.mrc-cbu.cam.ac.uk/statswiki/FAQ/thresholds/statswiki/MacCallum#">MacCallum</ulink> et al. (1999, 2001) advocate that all items in a factor model should have communalities of over 0.60 or an average communality of 0.7 to justify performing a factor analysis with small sample sizes. </para><para><emphasis role="underline">Hair et al. (p112) Table of Loadings for Practical Significance</emphasis> </para><informaltable><tgroup cols="3"><colspec colname="col_0" colwidth="50*"/><colspec colname="col_1"/><colspec colname="col_2"/><tbody><row rowsep="1"><entry colsep="1" nameend="col_1" namest="col_0" rowsep="1"><para> <emphasis role="strong">Factor Loading</emphasis> </para></entry><entry colsep="1" rowsep="1"><para> <emphasis role="strong">Sample Size needed for significance</emphasis></para></entry></row><row rowsep="1"><entry colsep="1" nameend="col_1" namest="col_0" rowsep="1"><para> 0.30 </para></entry><entry colsep="1" rowsep="1"><para> 350  </para></entry></row><row rowsep="1"><entry colsep="1" nameend="col_1" namest="col_0" rowsep="1"><para> 0.35 </para></entry><entry colsep="1" rowsep="1"><para> 250  </para></entry></row><row rowsep="1"><entry colsep="1" nameend="col_1" namest="col_0" rowsep="1"><para> 0.40 </para></entry><entry colsep="1" rowsep="1"><para> 200  </para></entry></row><row rowsep="1"><entry colsep="1" nameend="col_1" namest="col_0" rowsep="1"><para> 0.45 </para></entry><entry colsep="1" rowsep="1"><para> 150  </para></entry></row><row rowsep="1"><entry colsep="1" nameend="col_1" namest="col_0" rowsep="1"><para> 0.50 </para></entry><entry colsep="1" rowsep="1"><para> 120  </para></entry></row><row rowsep="1"><entry colsep="1" nameend="col_1" namest="col_0" rowsep="1"><para> 0.55 </para></entry><entry colsep="1" rowsep="1"><para> 100  </para></entry></row><row rowsep="1"><entry colsep="1" nameend="col_1" namest="col_0" rowsep="1"><para> 0.60 </para></entry><entry colsep="1" rowsep="1"><para>  85  </para></entry></row><row rowsep="1"><entry colsep="1" nameend="col_1" namest="col_0" rowsep="1"><para> 0.65 </para></entry><entry colsep="1" rowsep="1"><para>  70  </para></entry></row><row rowsep="1"><entry colsep="1" nameend="col_1" namest="col_0" rowsep="1"><para> 0.70 </para></entry><entry colsep="1" rowsep="1"><para>  60  </para></entry></row><row rowsep="1"><entry colsep="1" nameend="col_1" namest="col_0" rowsep="1"><para> 0.75 </para></entry><entry colsep="1" rowsep="1"><para>  50  </para></entry></row></tbody></tgroup></informaltable><para><emphasis role="underline">References</emphasis> </para><para>Comrey AL and Lee HB (1992) A first course in factor analysis (2nd edition). Hillsdale,NJ: Lawrence Erlbaum Associates. </para><para>Guadagnoli E and Velicer W (1988) Relation of sample size to the stability of component patterns. <emphasis>Psychological Bulletin</emphasis> <emphasis role="strong">103</emphasis> 265-275. </para><para>Hair JF, Tatham RL, Anderson RE and Black W (1998) Multivariate data analysis. (Fifth Ed.) Prentice-Hall:London. </para><para>Field A (2005) Discovering statistics using SPSS. Second edition. Sage. </para><para><ulink url="https://lsr-wiki-01.mrc-cbu.cam.ac.uk/statswiki/FAQ/thresholds/statswiki/MacCallum#">MacCallum</ulink> RC, Widaman KF, Zhang S and Hong S. (1999) Sample size in factor analysis. <emphasis>Psychological Methods</emphasis> <emphasis role="strong">4(1)</emphasis> 84-99.  </para><para><ulink url="https://lsr-wiki-01.mrc-cbu.cam.ac.uk/statswiki/FAQ/thresholds/statswiki/MacCallum#">MacCallum</ulink> RC, Widaman KF, Preacher KJ and Hong S (2001) Sample size in factor analysis: The role of model error. <emphasis>Multivariate Behavioral Research</emphasis> <emphasis role="strong">36</emphasis> 611-637. </para><para>Stevens JP (1992) Applied multivariate statistics for the social sciences (2nd edition). Hillsdale, NJ:Erlbaum. </para><para>Tabachnick BG and Fidell LS (2007) Using multivariate statistics. Fifth Edition. Pearson Education Inc. </para></section></article>