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Longitudinal Data Analysis and Time Series
Clustered/longitudinal data; Generalized estimating equations; Generalized linear mixed models; Kernel method
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Semiparametric Estimation In General Repeated Measures Problems, Xihong Lin, Raymond J. Carroll
Semiparametric Estimation In General Repeated Measures Problems, Xihong Lin, Raymond J. Carroll
Harvard University Biostatistics Working Paper Series
This paper considers a wide class of semiparametric problems with a parametric part for some covariate effects and repeated evaluations of a nonparametric function. Special cases in our approach include marginal models for longitudinal/clustered data, conditional logistic regression for matched case-control studies, multivariate measurement error models, generalized linear mixed models with a semiparametric component, and many others. We propose profile-kernel and backfitting estimation methods for these problems, derive their asymptotic distributions, and show that in likelihood problems the methods are semiparametric efficient. While generally not true, with our methods profiling and backfitting are asymptotically equivalent. We also consider pseudolikelihood methods …