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用于 K 个 2×J 列联表的投影法 Mantel–Haenszel 估计量AI 解读

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…

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采用广义Mantel–Haenszel估计量的列联表齐性检验AI 解读

A conditional test for the homogeneity of the odds ratios in L2 × K (K > 2) tables is developed based on a multiple hypergeometric distribution. The test is a generalization of the Breslow-Day test (1980) and is useful in sparse tables. For computational feasibility, the conditional maximum likelihood estimator is replaced by a consistent but inefficient estimator in the test statistic. If this is the case, it is shown that the asymptotic distribution is not chi squared, as…

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