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Article #1002Logits vs Marginal
From: Greg Maislin
Date: Sun, 01 Aug 1993 16:14
Date: Sun, 01 Aug 1993 16:14
26 lines
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2332 bytes
Hi Stat-l'ers,
SAS's PROC CATMOD allows a "relatively" easy implementation
of a Grizzle, Starmer, Koch (GSK) weighted least squares
analysis of a dichotmous response measured for each subject
at 4 time points. There are three groups to compare so the
hypothesis of interest is group by time interaction. There are
a total of 12 degrees of freedom in the saturated model. I have
even produced a non-saturated model with linear and quadratic
time trends that fits (Goodness-of-fit residual df=3, p>0.80).
Now, I have fit the model to the logits of the marginal
probilities and to the marginal probabilities themselves.
The resulting df=4 group*time(linear+quadratic) is
significant for logits (p=0.01) but not for marginals (p=0.07).
This is what I want to show and examining the marginals it
certainly looks like the time trends are different. I don't
want to base my choice of response function on which results
are better but I can't think of a statistical reason to prefer
one over the other. Any thoughts.
-Greg
**********************************************************************
* Greg Maislin (FGM@ASC.UPENN.EDU) *
* Adj. Asst. Prof. of Biostat. in Medicine *
* Univ. of Penn. School of Medicine and *
* Principal, Biomedical Statistical Consulting (215-259-8095) *
**********************************************************************
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X-Google-Language: ENGLISH,ASCII-7-bit X-Google-Thread: f5efb,268399d31b19c732,start X-Google-Attributes: gidf5efb,public X-Google-ArrivalTime: 1993-08-01 19:58:46 PST Path: arc1-ca.pugleaf.net!gmd.de!xlink.net!news.dfn.de!darwin.sura.net!paladin.american.edu!auvm!ASC.UPENN.EDU!fgm Comments: Gated by NETNEWS@AUVM.AMERICAN.EDU Newsgroups: bit.listserv.stat-l Return-Path: <@AUVM.AMERICAN.EDU,@VTBIT.CC.VT.EDU:owner-stat-l@VM1.MCGILL.CA> Return-Path: <fgm@asc.upenn.edu> Encoding: 1638 Text Message-ID: <9307017442.AA744232489@asc.upenn.edu> Date: Sun, 1 Aug 1993 12:14:49 EDT Sender: Stat-l Discussion List <STAT-L@MCGILL1.BITNET> From: Greg Maislin <fgm@ASC.UPENN.EDU> Subject: Logits vs Marginal Lines: 25