Estimating standardized risk differences from odds ratios.
Holland (1989, Biometrics 45, 1009-1016) gave simple formulas for an "adjusted" risk difference based on the Mantel-Haenszel odds ratio estimator and its variance. This "adjusted" risk difference is, in general, inconsistent, but Holland's variance formula is an immediate corollary of a more general formula by Greenland (1987, Journal of Chronic Diseases 40, 1087-1094). We show how, under a large-stratum limiting model, one can derive consistent estimators of standardized risk differences from any consistent odds ratio estimator. We also show how one can derive nonparametric standardized estimators under a sparse-data limiting model.
Greenland
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Department of Epidemiology, UCLA School of Public Health 90024-1772.
Holland
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D001699:Biometry; D006801:Humans; D015233:Models, Statistical; D016017:Odds Ratio