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Biometrika 1985 72(1):31-38; doi:10.1093/biomet/72.1.31
© 1985 by Biometrika Trust
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The analysis of binary longitudinal data with time independent covariates

SCOTT L. ZEGER, KUNG-YEE LIANG and STEVEN G. SELF

Department of Biostatistics, Johns Hopkins University Baltimore, Maryland 21205, U.S.A.

This paper considers extensions of logistic regression to the case where the binary outcome variable is observed repeatedly for each subject. We propose two working models that lead to consistent estimates of the regression parameters and of their variances under mild assumptions about the time dependence within each subject's data. The efficiency of the proposed estimators is examined. An analysis of stress in mothers with infants is presented to illustrate the proposed method.

Key Words: Binary longitudinal data • Logistic regression • Markov chain • Maximum likelihood


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