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Re: st: meta-analysis with correlation coefficients

From   John Antonakis <>
Subject   Re: st: meta-analysis with correlation coefficients
Date   Mon, 14 Jun 2010 16:52:53 +0200

Thank Jonathan and Nick.


Prof. John Antonakis, Associate Dean Faculty of Business and Economics
Department of Organizational Behavior
University of Lausanne
Internef #618
CH-1015 Lausanne-Dorigny

Tel ++41 (0)21 692-3438
Fax ++41 (0)21 692-3305

Faculty page:

Personal page:

On 14.06.2010 13:53, Nick Cox wrote:
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)),
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 <>

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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