Multivariate t nonlinear mixed-effects models for multi-outcome longitudinal data with missing values

Wan Lun Wang, Tsung I. Lin

研究成果: Article同行評審

28 引文 斯高帕斯(Scopus)

摘要

The multivariate nonlinear mixed-effects model (MNLMM) has emerged as an effective tool for modeling multi-outcome longitudinal data following nonlinear growth patterns. In the framework of MNLMM, the random effects and within-subject errors are assumed to be normally distributed for mathematical tractability and computational simplicity. However, a serious departure from normality may cause lack of robustness and subsequently make invalid inference. This paper presents a robust extension of the MNLMM by considering a joint multivariate t distribution for the random effects and within-subject errors, called the multivariate t nonlinear mixed-effects model. Moreover, a damped exponential correlation structure is employed to capture the extra serial correlation among irregularly observed multiple repeated measures. An efficient expectation conditional maximization algorithm coupled with the first-order Taylor approximation is developed for maximizing the complete pseudo-data likelihood function. The techniques for the estimation of random effects, imputation of missing responses and identification of potential outliers are also investigated. The methodology is motivated by a real data example on 161 pregnant women coming from a study in a private fertilization obstetrics clinic in Santiago, Chile and used to analyze these data.

原文English
頁(從 - 到)3029-3046
頁數18
期刊Statistics in Medicine
33
發行號17
DOIs
出版狀態Published - 2014 7月 30

All Science Journal Classification (ASJC) codes

  • 流行病學
  • 統計與概率

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