[R-meta] Weighted r values in a meta-analysis

Michael Dewey lists at dewey.myzen.co.uk
Mon Aug 14 17:28:21 CEST 2017

Dear Oliver

Not sure if I understand exactly what happened here but the variance of 
a z-transformed r value is (n-3)^-1 so the weight is (n-3). Is that what 
they did?

On 14/08/2017 16:14, Oliver Clark wrote:
> Hi all,
> I was wondering if anyone could think of a situation in which individual Pearson’s Rho values would be weighted by sample size in a meta-analysis?
> If so, what the equation for doing so would be?
> I am trying to reproduce a published meta-analysis and rw[i] values are given, but the equation and justification are not.
> My guess was (r[i] * n[i]) / (mean(n[k]) but the numbers were different, and in fact gave r > 1.
> Many thanks!
> Oliver
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