Projection-Method Mantel-Haenszel Estimator forK2 ×JTables

Abstract

A projection method is introduced to generalize the Mantel-Haenszel estimator for estimating the common odds ratios in K 2 × J ( J > 2) tables. The method provides estimators in an explicit form and needs no iterative computation. It is shown that the generalized Mantel-Haenszel estimator proposed by Greenland, and Yanagawa and Fujii is obtained by this method as a special case. Furthermore, selecting appropriate weight, it is shown that the method leads to an estimator that is asymptotically equivalent to the generalized Mantel-Haenszel estimator proposed by Liang. A dually consistent estimator of the variance of the estimator is proposed. The characteristics of these estimators have been evaluated by Monte Carlo means.