JSM 2011 Online Program

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Abstract Details

Activity Number: 229
Type: Topic Contributed
Date/Time: Monday, August 1, 2011 : 2:00 PM to 3:50 PM
Sponsor: Section on Bayesian Statistical Science
Abstract - #302316
Title: A Joint Markov Chain Model for the Association of Two Longitudinal Binary Processes
Author(s): Catherine M. Crespi*+ and Sherry Lin
Companies: University of California at Los Angeles and University of California at Los Angeles
Address: , , ,
Keywords: Markov model ; longitudinal data ; joint model ; nonhomogeneous
Abstract:

In some longitudinal studies, several related processes are measured, and interest focuses on their temporal association. We propose a joint model for two longitudinal binary processes in which each process is modeled as a nonhomogeneous first-order Markov chain, where the time-dependent transition intensities for each chain depend upon the current and/or past states of the other chain. The joint posterior distribution of the model parameters is obtained using Markov chain Monte Carlo methods. We apply our model to longitudinal data on viral shedding collected from individuals infected with type 2 herpes simplex virus, in which data for each individual were collected from two regions of the genital mucosa.


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