Applied Bayesian Statistics: With R and OpenBUGS Examples

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Springer Science & Business Media, Jan 4, 2013 - Mathematics - 232 pages

This book is based on over a dozen years teaching a Bayesian Statistics course. The material presented here has been used by students of different levels and disciplines, including advanced undergraduates studying Mathematics and Statistics and students in graduate programs in Statistics, Biostatistics, Engineering, Economics, Marketing, Pharmacy, and Psychology. The goal of the book is to impart the basics of designing and carrying out Bayesian analyses, and interpreting and communicating the results. In addition, readers will learn to use the predominant software for Bayesian model-fitting, R and OpenBUGS. The practical approach this book takes will help students of all levels to build understanding of the concepts and procedures required to answer real questions by performing Bayesian analysis of real data. Topics covered include comparing and contrasting Bayesian and classical methods, specifying hierarchical models, and assessing Markov chain Monte Carlo output.

Kate Cowles taught Suzuki piano for many years before going to graduate school in Biostatistics. Her research areas are Bayesian and computational statistics, with application to environmental science. She is on the faculty of Statistics at The University of Iowa.

 

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Contents

Chapter 1 What Is Bayesian Statistics?
1
Chapter 2 Review of Probability
12
Estimatinga Population Proportion
25
Chapter 4 Inference for a Population Proportion
48
Chapter 5 Special Considerations in Bayesian Inference
67
Chapter 6 Other OneParameter Models and Their Conjugate Priors
80
Introduction to Multiparameter Models
101
Markov Chain Monte Carlo
111
Chapter 9 Hierarchical Models and More on Convergence Assessment
146
Chapter 10 Regression and Hierarchical Regression Models
179
Chapter 11 Model Comparison Model Checking and Hypothesis Testing
206
Tables of Probability Distributions
225
References
227
Index
230
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About the author (2013)

Kate Cowles taught Suzuki piano for many years before going to graduate school in Biostatistics. Her research areas are Bayesian and computational statistics, with application to environmental science. She is on the faculty of Statistics at The University of Iowa.

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