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The Stata Journal
Volume 15 Number 3: pp. 645-671



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Fitting fixed- and random-effects meta-analysis models using structural equation modeling with the sem and gsem commands

Tom M. Palmer
Department of Mathematics and Statistics
Lancaster University
Lancaster, UK
t.palmer1@lancaster.ac.uk
Jonathan A. C. Sterne
School of Social and Community Medicine
University of Bristol
Bristol, UK
Abstract.  In this article, we demonstrate how to fit fixed- and random-effects meta-analysis, meta-regression, and multivariate outcome meta-analysis models under the structural equation modeling framework using the sem and gsem commands. While all of these models can be fit using existing user-written commands, formulating the models in the structural equation modeling framework provides deeper insight into how they work. Further, the heterogeneity test for meta-regression and multivariate meta-analysis is readily available from this output.
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