The Joint Asymptotic Distribution of the Maximum Likelihood and Mantel-Haenszel Estimators of the Common Odds Ratio in k 2 x 2 Tables

Samuel W. Greenhouse and Joseph L. Gastwirth
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Samuel W. Greenhouse: The George Washington University, Department of Statistics

A chapter in Modelling and Prediction Honoring Seymour Geisser, 1996, pp 264-273 from Springer

Abstract: Abstract The Mantel-Haenszel (MHE) and Maximum Likelihood (MLE) estimators of an assumed common odds ratio in the analysis of several (k) 2x2 tables are usually found to be quite close. This suggests their joint asymptotic distribution should have a high correlation. Since the MLE cannot be obtained as an explicit function of the observations, we instead utilize an asymptotically equivalent surrogate for the MLE enabling us to find a large sample representation for the two estimators from which we obtain their joint asymptotic distribution. This is found for both the uncondtional and conditional likelihoods, under the assumption that k is fixed and the sample sizes within each table approach infinity.

Keywords: Childhood Cancer; Conditional Likelihood; Marginal Total; Large Sample Representation; Equivalent Surrogate (search for similar items in EconPapers)
Date: 1996
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-1-4612-2414-3_16

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DOI: 10.1007/978-1-4612-2414-3_16

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