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Semiparametric regression analysis of longitudinal data with informative drop-outs. (English) Zbl 1154.62330
Summary: Informative drop-out arises in longitudinal studies when the subject’s follow-up time depends on the unobserved values of the response variable. We specify a semiparametric linear regression model for the repeatedly measured response variable and an accelerated failure time model for the time to informative drop-out. The error terms from the two models are assumed to have a common, but completely arbitrary joint distribution. Using a rank-based estimator for the accelerated failure time model and an artificial censoring device, we construct an asymptotically unbiased estimating function for the linear regression model. The resultant estimator is shown to be consistent and asymptotically normal. A resampling scheme is developed to estimate the limiting covariance matrix. Extensive simulation studies demonstrate that the proposed methods are suitable for practical use. Illustrations with data taken from two AIDS clinical trials are provided.

MSC:
62G08 Nonparametric regression and quantile regression
62J05 Linear regression; mixed models
62P10 Applications of statistics to biology and medical sciences; meta analysis
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