Contents
Abstract ii
Acknowledgements iii
List of Figures vii
List of Tables xi
1 Introduction 1
1.1 Bayesian Inference ............................ 2
1.2 Non-parametric Bayesian Inference................... 2
1.3 Overview.................................. 4
1.4 Contributions of this Thesis....................... 6
2 Assessing Toxicities in a Clinical Trial: Bayesian Inference for Mul-
tivariate Ordinal Data 7
2.1 Overview.................................. 7
2.2 Background................................ 9
2.2.1 Clinical Trials........................... 10
2.2.2 Binary Data Model........................ 12
2.2.3 Multiresponse Categorical Data Model............. 14
2.3 A Phase III Clinical Trial ........................ 16
2.4 A Hierarchical Model for Ordinal Data Nested within Categories ... 18