A New Variance Estimator for the Mantel-Haenszel Odds Ratio
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Abstract
Many asymptotic formulas for estimating the variance of and confidence intervals for odds ratios in case-control studies are available, but most have limitations. The method suggested by Cornfield (1956, Proceedings of the Third Berkeley Symposium 4, 135-148), for example, is iterative and requires calculation of exact variances if the number of subjects within each stratum is small. This paper presents a new asymptotic, noniterative variance estimate for the Mantel-Haenszel odds ratio which, based on a series of Monte Carlo experiments, compares favorably with other noniterative estimates when used for confidence interval estimation.
