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# Re: st: meta-analysis with correlation coefficients

 From John Antonakis To statalist@hsphsun2.harvard.edu, Jonathan.Sterne@bristol.ac.uk Subject Re: st: meta-analysis with correlation coefficients Date Mon, 14 Jun 2010 20:37:13 +0200

```Hi Jonathan:

I thanked you too soon.

Quick question:

```
Suppose my first r is .321 for an n of 53. The the SE of r is .14142136. The atanh (r to z' transformation) of r is 0.332762; thus, the CI is 0.60994745 to 0.05557572. The tanh of this (reverse the r to z' transformation) is 0.544090107 to 0.055518572. Nick's program gives the same thing:
```
. corrcii 53 0.321,

n       r      95% confidence limits
53      0.321      0.056     0.544

```
OK, this is all easy. However, which numbers do I input for -metan-, specifically?
```
TIA,
John.

____________________________________________________

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

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

Faculty page:
http://www.hec.unil.ch/people/jantonakis

Personal page:
http://www.hec.unil.ch/jantonakis
____________________________________________________

On 14.06.2010 13:40, Jonathan Sterne wrote:
```
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.
```
Best wishes

Jonathan Sterne

```
--On 14 June 2010 02:33 -0400 statalist-digest <owner-statalist@hsphsun2.harvard.edu> wrote:
```
```
```Date: Sun, 13 Jun 2010 23:20:47 +0200
From: John Antonakis <john.antonakis@unil.ch>
Subject: st: meta-analysis with correlation coefficients

Hi:

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)?

Thanks,
John.

____________________________________________________

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

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

Faculty page:
http://www.hec.unil.ch/people/jantonakis

Personal page:
http://www.hec.unil.ch/jantonakis
____________________________________________________

```
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