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Extended Mantel-Haenszel estimating procedure for multivariate logistic regression models
期刊文章

Extended Mantel-Haenszel estimating procedure for multivariate logistic regression models

K.-Y. Liang
Biometrics, 卷.43(2), 頁碼.289-299
1986
PMID: 3607201

摘要

Statistics and Probability Medicine (all) Immunology and Microbiology (all) Biochemistry Genetics and Molecular Biology (all) Agricultural and Biological Sciences (all) Applied Mathematics
A class of estimating functions is proposed for the estimation of multivariate relative risk in stratified case-control studies. It reduces to the well-known Mantel-Haenszel estimator when there is a single binary risk factor. Large-sample properties of the solutions to the proposed estimating equations are established for two distinct situations. Efficiency calculations suggest that the proposed estimators are nearly fully efficient relative to the conditional maximum likelihood estimator for the parameters considered. Application of the proposed method to family data and longitudinal data, where the conditional likelihood approach fails, is discussed. Two examples from case-control studies and one example from a study on familial aggregation are presented.

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