After much research I've listed a couple of ways to do repeated measures
anova here:

http://gribblelab.org/2009/03/09/repeated-measures-anova-using-r/

including univariate and multivariate methods, post-hoc tests, sphericity
test, etc.

It appears to me that the most useful way is a multivariate model and then
using Anova() from the car package.

-Paul


On Tue, Mar 3, 2009 at 5:37 PM, Paul Gribble <pgrib...@uwo.ca> wrote:

> Have a look at
>>
>> http://cran.r-project.org/doc/Rnews/Rnews_2007-2.pdf
>>
>
> Wow. I think my students would keel over.
>
>
> Anova() from the car package looks promising - I will check it out. Thanks
>
>
>
> On Tue, Mar 3, 2009 at 4:00 PM, Peter Dalgaard 
> <p.dalga...@biostat.ku.dk>wrote:
>
>> Paul Gribble wrote:
>>
>>> I have 3 questions (below).
>>>
>>> Background: I am teaching an introductory statistics course in which we
>>> are
>>> covering (among other things) repeated measures anova. This time around
>>> teaching it, we are using R for all of our computations. We are starting
>>> by
>>> covering the univariate approach to repeated measures anova.
>>>
>>> Doing a basic repeated measures anova (univariate approach) using aov()
>>> seems straightforward (e.g.:
>>>
>>> +> myModel<-aov(myDV~myFactor+Error(Subjects/myFactor),data=myData)
>>> +> summary(myModel)
>>>
>>> Where I am currently stuck is how best to deal with the issue of the
>>> assumption of homogeneity of treatment differences (in other words, the
>>> sphericity assumption) - both how to test it in R and how to compute
>>> corrected df for the F-test if the assumption is violated.
>>>
>>> Back when I taught this course using SPSS it was relatively
>>> straightforward
>>> - we would look at Mauchly's test of sphericity - if it was significant,
>>> then we would use one of the corrected F-tests (e.g. Greenhouse-Geisser
>>> or
>>> Huynh-Feldt) that were spat out automagically by SPSS.
>>>
>>> I gather from searching the r-help archives, searching google, and
>>> searching
>>> through various books on R, that the only way of using mauchly.test() in
>>> R
>>> is on a multivariate model object (e.g. mauchly.test cannot handle an
>>> aov()
>>> object).
>>>
>>> Question 1: how do you (if you do so), test for sphericity in a repeated
>>> measures anova using R, when using aov()? (or do you test the sphericity
>>> assumption using a different method)?
>>>
>>> Question 2: Can someone point me to an example (on the web, in a book,
>>> wherever) showing how to perform a repeated measures anova using the
>>> multivariate approach in R?
>>>
>>> Question 3: Are there any existing R functions for calculating adjusted
>>> df
>>> for Greenhouse-Geisser, Huynh-Feldt (or calculating epsilon), or is it up
>>> to
>>> me to write my own function?
>>>
>>> Thanks in advance for any suggestions,
>>>
>>
>> Have a look at
>>
>> http://cran.r-project.org/doc/Rnews/Rnews_2007-2.pdf
>>
>> Last time this came up, John Fox also pointed to some of his stuff, see
>> http://finzi.psych.upenn.edu/R/Rhelp08/archive/151282.html
>>
>> --
>>   O__  ---- Peter Dalgaard             Ă˜ster Farimagsgade 5, Entr.B
>>  c/ /'_ --- Dept. of Biostatistics     PO Box 2099, 1014 Cph. K
>>  (*) \(*) -- University of Copenhagen   Denmark      Ph:  (+45) 35327918
>> ~~~~~~~~~~ - (p.dalga...@biostat.ku.dk)              FAX: (+45) 35327907
>>
>
>
>
> --
> Paul L. Gribble, Ph.D.
> Associate Professor
> Dept. Psychology
> The University of Western Ontario
> London, Ontario
> Canada N6A 5C2
> Tel. +1 519 661 2111 x82237
> Fax. +1 519 661 3961
> pgrib...@uwo.ca
> http://gribblelab.org
>



-- 
Paul L. Gribble, Ph.D.
Associate Professor
Dept. Psychology
The University of Western Ontario
London, Ontario
Canada N6A 5C2
Tel. +1 519 661 2111 x82237
Fax. +1 519 661 3961
pgrib...@uwo.ca
http://gribblelab.org

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