[R] meta analysis with repeated measure-designs?

Gerrit Hirschfeld Gerrit.Hirschfeld at uni-muenster.de
Sat Jun 12 12:44:34 CEST 2010

Dear all,

I am trying to run a meta analysis of psycholinguistic reaction-time experiments with the meta package. The problem is that most of the studies have a within-subject designs and use repeated measures ANOVAs to analyze their data. So at present it seems that there are three non-optimal ways to run the analysis. 

1. Using metacont() to estimate effect sizes and standard errors. But as the different sores are dependent this would result in biased estimators (Dunlap, 1996). Suppose I had the correlations of the measures (which I do not) would there by an option to use them in metacont() ?

2. Use metagen() with an effect size that is based on the reported F for the contrasts but has other disadvantages (Bakeman, 2005). The problem I am having with this is that I could not find a formular to compute the standard error of partial eta squared. Any Ideas?

3. Use metagen() with r computed from p-values (Rosenthal, 1994) as effect size with the problem that sample-size affects p as much as effect size. 

Is there a fourth way, or data showing that correlations can be neglected as long as they are assumed to be similar in the studies? 
Any ideas are much apprecciated. 

best regards

Gerrit Hirschfeld, Dipl.-Psych.

Psychologisches Institut II
Westfälische Wilhelms-Universität
Fliednerstr. 21
48149 Münster

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