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

[Oliver Clark]

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