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Practical modeling strategies for unbalanced longitudinal data analysis
Authors:Enrico A Colosimo  Maria Arlene Fausto  Marta Afonso Freitas  Jorge Andrade Pinto
Institution:1. Department of Statistics , Universidade Federal de Minas Gerais , Belo Horizonte , Minas Gerais , 31270–901 , Brazil;2. Department of Nutrition , Universidade Federal de Ouro Preto , Ouro Preto , Minas Gerais , Brazil;3. Department of Industrial Engineering , Universidade Federal de Minas Gerais , Belo Horizonte , Minas Gerais , Brazil;4. Department of Pediatrics , Medicine School, Universidade Federal de Minas Gerais , Belo Horizonte , Minas Gerais , Brazil
Abstract:In practice, data are often measured repeatedly on the same individual at several points in time. Main interest often relies in characterizing the way the response changes in time, and the predictors of that change. Marginal, mixed and transition are frequently considered to be the main models for continuous longitudinal data analysis. These approaches are proposed primarily for balanced longitudinal design. However, in clinic studies, data are usually not balanced and some restrictions are necessary in order to use these models. This paper was motivated by a data set related to longitudinal height measurements in children of HIV-infected mothers that was recorded at the university hospital of the Federal University in Minas Gerais, Brazil. This data set is severely unbalanced. The goal of this paper is to assess the application of continuous longitudinal models for the analysis of unbalanced data set.
Keywords:mixed model  marginal models  GEE  restricted likelihood  BIC
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