Interpretation and estimation of summary ratios under heterogeneity
- 1 January 1982
- journal article
- research article
- Published by Wiley in Statistics in Medicine
- Vol. 1 (3), 217-227
- https://doi.org/10.1002/sim.4780010304
Abstract
Of the several types of summary odds ratios in use in epidemiology, only those proposed by Mantel and Haenszel and Miettinen do not assume homogeneity (constancy) of stratum-specific parameters. Under heterogeneity, Miettinen's estimators consistently estimate meaningful epidemiologic parameters, whereas the asymptotic expectation of the Mantel-Haenszel odds ratio varies according to irrelevant features of the sampling design. Although one can modify the Mantel-Haenszel summary to overcome the latter problem, one can also extend the Miettinen estimators to sparse data and thus limit the use of Mantel-Haenszel summaries to situations in which the homogeneity hypothesis is reasonable. This paper provides formulae for the extended Miettinen estimators and large-sample variances and confidence limits for summary ratios under heterogeneity.Keywords
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