I'm looking at measures from different studies (for a meta-analysis) and hoping to provide an aggregate effect size. I'm trying to identify hetero-/homo-geneity to determine whether I should use a random or fixed effects model. I do not have the original data - but rather effect sizes calculated from the individual studies. As such, I have Cohen's d, variance, n1, and n2 for each study/measure.
With this data, (how) can I calculate Cochran's q (or other test for homogeneity)?
Do I need to? Anderson-Darling shows that it's normally distributed.