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An estimating equation approach for the analysis of case‐control studies with exposure measured at several levels
Author(s) -
Sato Tosiya
Publication year - 1991
Publication title -
statistics in medicine
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.996
H-Index - 183
eISSN - 1097-0258
pISSN - 0277-6715
DOI - 10.1002/sim.4780100704
Subject(s) - statistics , confidence interval , estimator , odds ratio , logistic regression , mathematics , extension (predicate logic) , covariance , econometrics , variance (accounting) , analysis of covariance , odds , generalized estimating equation , computer science , accounting , business , programming language
Liang gave an extension of the Mantel‐Haenszel estimating procedure for a common odds ratio to logistic regression models. It is applicable to case‐control studies with multiple exposure levels, which yield K 2 × J tables. This paper provides variance and covariance estimators, which are consistent in both sparse‐data and large‐strata, for Liang's estimating functions in the K 2 × J tables case, and proposes an approximate confidence interval method for the common odds ratios.