A Bayesian fixed effects analysis of the Mantel–Haenszel model applied to meta‐analysis

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Abstract
When performing a meta analysis, it is often necessary to combine results from several 2 × 2 contingency tables. The Mantel–Haenszel model assumes a common measure of association between the treatment and outcome variables across the tables. A Bayesian method is described for drawing inferences regarding the measure of association, for checking the plausibility of the Mantel–Haenszel model, and for drawing inferences regarding the success rates for the individual studies. While the methodology is readily extendable to random effects models, a fixed effects approach avoids the complex statistical modelling of a mixture distribution which is required for the good application of random effects models. Copyright © 2002 John Wiley & Sons, Ltd.

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