The Mantel-Haenszel Procedure Revisited: Models and Generalizations

被引:23
作者
Fidler, Vaclav [1 ]
Nagelkerke, Nico [2 ,3 ,4 ]
机构
[1] Univ Groningen, Univ Med Ctr Groningen, Dept Epidemiol, NL-9700 AB Groningen, Netherlands
[2] United Arab Emirates Univ, Inst Publ Hlth, Al Ain, U Arab Emirates
[3] Univ Manitoba, Dept Med Microbiol & Infect Dis, Winnipeg, MB, Canada
[4] Erasmus MC, Dept Publ Hlth, Rotterdam, Netherlands
关键词
BINARY DATA;
D O I
10.1371/journal.pone.0058327
中图分类号
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号
07 ; 0710 ; 09 ;
摘要
Several statistical methods have been developed for adjusting the Odds Ratio of the relation between two dichotomous variables X and Y for some confounders Z. With the exception of the Mantel-Haenszel method, commonly used methods, notably binary logistic regression, are not symmetrical in X and Y. The classical Mantel-Haenszel method however only works for confounders with a limited number of discrete strata, which limits its utility, and appears to have no basis in statistical models. Here we revisit the Mantel-Haenszel method and propose an extension to continuous and vector valued Z. The idea is to replace the observed cell entries in strata of the Mantel-Haenszel procedure by subject specific classification probabilities for the four possible values of (X,Y) predicted by a suitable statistical model. For situations where X and Y can be treated symmetrically we propose and explore the multinomial logistic model. Under the homogeneity hypothesis, which states that the odds ratio does not depend on Z, the logarithm of the odds ratio estimator can be expressed as a simple linear combination of three parameters of this model. Methods for testing the homogeneity hypothesis are proposed. The relationship between this method and binary logistic regression is explored. A numerical example using survey data is presented.
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页数:4
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