A Semiparametric Marginalized Model for Longitudinal Data with Informative Dropout
Author(s) -
Mengling Liu,
Wenbin Lu
Publication year - 2011
Publication title -
journal of probability and statistics
Language(s) - English
Resource type - Journals
eISSN - 1687-9538
pISSN - 1687-952X
DOI - 10.1155/2012/734341
Subject(s) - estimator , inference , covariate , mathematics , econometrics , dropout (neural networks) , longitudinal data , semiparametric regression , latent variable , simple (philosophy) , estimating equations , covariance matrix , covariance , statistics , computer science , machine learning , artificial intelligence , data mining , philosophy , epistemology
We propose a marginalized joint-modeling approach for marginal inference on the association between longitudinal responses and covariates when longitudinal measurements are subject to informative dropouts. The proposed model is motivated by the idea of linking longitudinal responses and dropout times by latent variables while focusing on marginal inferences. We develop a simple inference procedure based on a series of estimating equations, and the resulting estimators are consistent and asymptotically normal with a sandwich-type covariance matrix ready to be estimated by the usual plug-in rule. The performance of our approach is evaluated through simulations and illustrated with a renal disease data application.
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