Article View: sci.math.stat
Article #77Re: Greenhouse-Geisser Correction Algorithm Needed
From: David Nichols
Date: Fri, 24 Jul 1992 20:49
Date: Fri, 24 Jul 1992 20:49
23 lines
1441 bytes
1441 bytes
The formula for the Greenhouse-Geiser epsilon for a within subjects effect
(main effect or interaction), from the MANOVA chapter in the SPSS Statistical
Algorithms, 2nd ed. is:
2
(trace(SSE))
epsilon = -------------------
2
k * trace((SSE) )
where k = degrees of freedom for the factor or interaction
SSE = Error SSCP matrix for that effect
In other words, on top you're getting the trace and then squaring it. On
the bottom you're squaring the SSE matrix, then taking the trace and
multiplying it by k. I checked this out running an example in MANOVA,
and the formula gives the same results as MANOVA does.
--
David Nichols Statistical Support Specialist SPSS, Inc.
Phone: (312) 329-3684 Internet: nichols@spss.com Fax: (312) 329-3657
*******************************************************************************
Any correlation between my views and those of SPSS is strictly due to chance.
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Newsgroups: sci.math.stat Path: arc1-ca.pugleaf.net!sparky!uunet!haven.umd.edu!darwin.sura.net!wupost!cs.utexas.edu!uwm.edu!linac!uchinews!spssig.spss.com!nichols From: nichols@spss.com (David Nichols) Subject: Re: Greenhouse-Geisser Correction Algorithm Needed Message-ID: <Jul24.210124.41219@spss.com> Date: Fri, 24 Jul 1992 20:49:40 CUT Nntp-Posting-Host: spssrs2.spss.com Organization: SPSS Inc. Lines: 23