On closeness of the Mantel–Haenszel estimator and the profile likelihood based estimator of the common odds ratio from multiple [formula omitted] tables

Abstract

In this paper, we show the difference in the variance of the Mantel–Haenszel estimator and the profile maximum likelihood estimator of order O((kn)−3) or less, where the individual variances are of order O(n−1). Here n is the minimum number of samples available for any treatment in any group. Numerical results are also reported.