[R] Omnibus test for main effects in the face of an interaction containing the main effects.

John Sorkin jsorkin at grecc.umaryland.edu
Mon Sep 7 21:59:39 CEST 2009


R 2.9.1
Windows XP

UPDATE,
Even my first suggestion
anova(fita,fitb) is probably not appropriate as the fixed effects are different in the two model, so I don't even know how to perform the ombnibus test for the interaction!



I am fitting a random effects ANOVA with two factors Group which has two levels and Time which has three levels:
 fita<-lme(Post~Time+factor(Group)+factor(Group)*Time, random=~1|SS,data=blah$alldata)

I want to get the omnibus significance tests for each factor and the interaction. I believe I can get the omnibus test for the interaction by running the model:

fitb<-lme(Post~Time+factor(Group), random=~1|SS,data=blah$alldata)
followed by
anova(fita,fitb).

How do I get the omnibus test for the main effects i.e. for Time and factor(Group)? I could drop each from the model, i.e.
fitc<-lme(Post~          factor(Group)+factor(Group)*Time, random=~1|SS,data=blah$alldata)
fitd<-lme(Post~Time+                        factor(Group)*Time, random=~1|SS,data=blah$alldata)

and then run 
anova(fita,fitc)
anova(fita,fitd)
but I don't like this option as it will have in interaction that contains a factor that is not included in the model as a main effect. How then do I get the omnibus test for Time and factor(Group)?

Thanks 
John




John David Sorkin M.D., Ph.D.
Chief, Biostatistics and Informatics
University of Maryland School of Medicine Division of Gerontology
Baltimore VA Medical Center
10 North Greene Street
GRECC (BT/18/GR)
Baltimore, MD 21201-1524
(Phone) 410-605-7119
(Fax) 410-605-7913 (Please call phone number above prior to faxing)

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