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Activity Number: 230 - Longitudinal Data Analysis
Type: Contributed
Date/Time: Monday, July 31, 2017 : 2:00 PM to 3:50 PM
Sponsor: Biometrics Section
Abstract #323451
Title: Flexible Models for Multivariate Longitudinal Data Using Copula
Author(s): Zhentao Tong* and Sujit K Ghosh
Companies: North Carolina State University and North Carolina State University
Keywords: copula ; longitudinal data ; karhunen-loeve expansion
Abstract:

Analysis of longitudinal data within a mixed effects model framework often are based on stringent parametric assumptions that are often too restrictive in practice. A majority of the currently available models and associated estimation methodologies are based on restrictive assumptions on the correlation structure of longitudinal data, especially when the responses are multivariate vectors consisting of continuous and discrete valued components. This paper proposes a flexible class of models for multivariate longitudinal data based Karhunen-Loeve expansion (KLE) where the zero mean unit variance uncorrelated scores of the KLE are modeled using a restricted version copulas that maintains the moments restrictions. For simplicity of illustration of the proposed models and associated inference, this talk presents only the bivariate case using both real and simulated data scenarios.


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