The name is absent

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