# Re: st: meta-analysis for diagnostic test

 From Roger Newson To statalist@hsphsun2.harvard.edu Subject Re: st: meta-analysis for diagnostic test Date Thu, 12 Jun 2003 20:01:34 +0100

```At 14:10 12/06/03 -0400, crisasi@aecom.yu.edu wrote:
```
How can I perform a meta-analysis for a diagnostic test? I'd like to calculate
the summary ROC.
Thanks
I would use the -somersd- package, downloadable from SSC. If X is the disease indicator and Y is the quantitative diagnostic test variable, then Somers' D of Y with respect to X (D(Y|X)) is related to the ROC area A by the formula

D(Y|X)-2*A-1

The -somersd- package saves the estimates and covariance matrices of Somers' D as estimation results. Therefore, you could calculate a Somers' D and its variance for each of the individual studies, extract the estimates vextor and variance matrix for each Somers' D, concatenate the estimates vectors for the individual studies to form a vector of Somers' D estimates, create a diagonal matrix of the variances of the individual studies, use -estimates store- to store these as the current estimation results, and then use -lincom- to get a confidence interval for whatever weighted mean of the individual study Somers' D values you wanted, and convert that confidence interval to a confidence interval for the weighted mean ROC area.

A reference on Somers' D and ROC areas is my Stata Journal article on the subject (Newson, 2002). A pre-publication draft of this can be downloaded from my website at

http://www.kcl-phs.org.uk/rogernewson/

which also contains manuals for the -somersd- package. It can be accessed either using a browser or using the -net- command in Stata.

I hope this helps.

Best wishes

Roger

References

Newson R. Parameters behind "nonparametric" statistics: Kendall's tau, Somers' D and median differences. The Stata Journal 2002; 2(1): 45-64.

--
Roger Newson
Lecturer in Medical Statistics
Department of Public Health Sciences
King's College London
5th Floor, Capital House
42 Weston Street
London SE1 3QD
United Kingdom

Tel: 020 7848 6648 International +44 20 7848 6648
Fax: 020 7848 6620 International +44 20 7848 6620
or 020 7848 6605 International +44 20 7848 6605
Email: roger.newson@kcl.ac.uk
Website: http://www.kcl-phs.org.uk/rogernewson

Opinions expressed are those of the author, not the institution.

*
* For searches and help try:
* http://www.stata.com/support/faqs/res/findit.html
* http://www.stata.com/support/statalist/faq
* http://www.ats.ucla.edu/stat/stata/