On closeness of the Mantel–Haenszel estimator and the profile likelihood based estimator of the common odds ratio from multiple 2×2 tables

Buddhananda Banerjee and Atanu Biswas

Statistics & Probability Letters, 2012, vol. 82, issue 11, 1990-1993

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.

Keywords: Odds ratio; Mantel–Haenszel estimator; Maximization; Profile likelihood (search for similar items in EconPapers)
Date: 2012
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DOI: 10.1016/j.spl.2012.06.013

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