Dr Cheung:
I have used your tssem1 to deal with the meta analysis work. And I pooled 11 correlation matrix and the tssem1 reports RMSEA=.0915, SRMR=.0492, TLI=.976 and CFI=.978. I think it should be homogeneous. According to this result, it should be ok. When I use the conventional meta analysis, the criterion to judge heterogeneity is Q (Cochran Q) and its p value. What is the theoretical base to judge the pooled correlation matrices? Because you use SEM, there must be a model you try to compare with, what is that model? Because I try to use regression of sqrt weight * EF on sqrt weight, the model did indicate the synthesized EF (slope), but I check the model fit index, it is not the one for homogeneous test.
And I also used Variance and covariance matrix to tssem1, and the result is very similar, but only one effect size changes (.591 in correlation and .672 in var-covariance matrix, matrix is 4X4), I wonder how to interpret the change, because the rest doesn't change much.
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