Bayesian analysis of longitudinal models

Husain, Syeda Tasmine (2003) Bayesian analysis of longitudinal models. Masters thesis, Memorial University of Newfoundland.

[English] PDF (Migrated (PDF/A Conversion) from original format: (application/pdf)) - Accepted Version Available under License - The author retains copyright ownership and moral rights in this thesis. Neither the thesis nor substantial extracts from it may be printed or otherwise reproduced without the author's permission. Download (3MB) [English] PDF - Accepted Version Available under License - The author retains copyright ownership and moral rights in this thesis. Neither the thesis nor substantial extracts from it may be printed or otherwise reproduced without the author's permission. (Original Version)

Abstract

The use of longitudinal studies is widespread, especially in biology and medicine. Statistical analyses of these studies must account for the correlation that will usually be present within individuals measured across time. We present a Bayesian approach to studying these problems, based on methods that sample from the posterior distributions of interest. Our work will involve models with continuous and binary responses, and will generalize some published methods using a probit model. Our results indicate that the simpler algorithms proposed in the literature perform as well as more complicated methods. Application to two numerical examples will be presented.

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