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RE: st: meta-analysis with correlation coefficients

From   "Nick Cox" <>
To   <>
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
        (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


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)),
use metan on the transformed correlations and their standard errors,
transform the summary estimate and 95% CI back to the original scale.

John Antonakis <>

> 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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