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RE: st: meta-analysis with correlation coefficients


From   "Nick Cox" <n.j.cox@durham.ac.uk>
To   <statalist@hsphsun2.harvard.edu>
Subject   RE: st: meta-analysis with correlation coefficients
Date   Mon, 14 Jun 2010 12:53:03 +0100

A Stata-based tutorial survey of the transformation referred to here was
given in 

SJ-8-3  pr0041  .  Speaking Stata: Corr. with confidence, Fisher's z
revisited
        (help corrci, corrcii if installed) . . . . . . . . . . . .  N.
J. Cox
        Q3/08   SJ 8(3):413--439
        reviews Fisher's z transformation and its inverse, the
        hyperbolic tangent, and reviews their use in inference
        with correlations

Nick 
n.j.cox@durham.ac.uk 

Jonathan Sterne

You would simply need to use the usual formula for the standard error of

Fisher's transformation for the correlation coefficient (1/sqrt(n-3)),
then 
use metan on the transformed correlations and their standard errors,
then 
transform the summary estimate and 95% CI back to the original scale.

John Antonakis <john.antonakis@unil.ch>

> Does anyone know of a Stata user-written ado file that does
> meta-analysis with correlation coefficients as inputs (and not only
> means and SDs)?

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