ArticleBMC medical research methodology2015
An accurate test for homogeneity of odds ratios based on Cochran's Q-statistic.
Article in BMC medical research methodology, 2015. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 87 papers, 16 of them syntheses that pooled it.
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Who cites it
87 citing papers in PubMed, 16 syntheses or guidelines pooled it.
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27 more citing papers are in PubMed but not listed here.
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2 authors.
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Abstract
backgroundA frequently used statistic for testing homogeneity in a meta-analysis of K independent studies is Cochran's Q. For a standard test of homogeneity the Q statistic is referred to a chi-square distribution with K-1 degrees of freedom. For the situation in which the effects of the studies are logarithms of odds ratios, the chi-square distribution is much too conservative for moderate size studies, although it may be asymptotically correct as the individual studies become large.
methodsUsing a mixture of theoretical results and simulations, we provide formulas to estimate the shape and scale parameters of a gamma distribution to fit the distribution of Q.
resultsSimulation studies show that the gamma distribution is a good approximation to the distribution for Q.
conclusionsUse of the gamma distribution instead of the chi-square distribution for Q should eliminate inaccurate inferences in assessing homogeneity in a meta-analysis. (A computer program for implementing this test is provided.) This hypothesis test is competitive with the Breslow-Day test both in accuracy of level and in power.
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