# Bayesian and Frequentist Regression Methods

Textbook

Part of the Springer Series in Statistics book series (SSS)

1. Front Matter
Pages i-xix
2. Jon Wakefield
Pages 1-24
3. ### Inferential Approaches

1. Front Matter
Pages 25-25
2. Jon Wakefield
Pages 27-83
3. Jon Wakefield
Pages 85-151
4. Jon Wakefield
Pages 153-191
4. ### Independent Data

1. Front Matter
Pages 193-193
2. Jon Wakefield
Pages 195-252
3. Jon Wakefield
Pages 253-303
4. Jon Wakefield
Pages 305-350
5. ### Dependent Data

1. Front Matter
Pages 351-351
2. Jon Wakefield
Pages 353-423
3. Jon Wakefield
Pages 425-500
6. ### Nonparametric Modeling

1. Front Matter
Pages 501-501
2. Jon Wakefield
Pages 503-545
3. Jon Wakefield
Pages 547-595
4. Jon Wakefield
Pages 597-645
7. ### Appendices

1. Front Matter
Pages 647-647
2. Jon Wakefield
Pages 649-651
3. Jon Wakefield
Pages 653-654

### Introduction

Bayesian and Frequentist Regression Methods provides a modern account of both Bayesian and frequentist methods of regression analysis. Many texts cover one or the other of the approaches, but this is the most comprehensive combination of Bayesian and frequentist methods that exists in one place.  The two philosophical approaches to regression methodology are featured here as complementary techniques, with theory and data analysis providing supplementary components of the discussion. In particular, methods are illustrated using a variety of data sets. The majority of the data sets are drawn from biostatistics but the techniques are generalizable to a wide range of other disciplines. While the philosophy behind each approach is discussed, the book is not ideological in nature and an emphasis is placed on practical application. It is shown that, in many situations, careful application of the respective approaches can lead to broadly similar conclusions. To use this text, the reader requires a basic understanding of calculus and linear algebra, and introductory courses in probability and statistical theory. The book is based on the author's experience teaching a graduate sequence in regression methods. The book website contains all of the code to reproduce all of the analyses and figures contained in the book.

### Keywords

Bayes Frequentist Methods Inference Modeling Regression Analysis

#### Authors and affiliations

1. 1.Department of Statistics & BiostatisticsUniversity of WashingtonSeattleUSA

Jon Wakefield is Professor in the Departments of Statistics and Biostatistics at the University of Washington. His interests lie in biostatistics, epidemiology and genetics and in links between frequentist and Bayesian methods. His work has been published extensively. He received his PhD from the University of Nottingham, and his honors include the Guy Medal in Bronze from the Royal Statistical Society, and he is a Fellow of the American Statistical Association. He has previously been the Chair of the Department of Statistics at the University of Washington.

### Bibliographic information

• Book Title Bayesian and Frequentist Regression Methods
• Authors Jon Wakefield
• Series Title Springer Series in Statistics
• DOI https://doi.org/10.1007/978-1-4419-0925-1
• Publisher Name Springer, New York, NY
• eBook Packages Mathematics and Statistics Mathematics and Statistics (R0)
• Hardcover ISBN 978-1-4419-0924-4
• Softcover ISBN 978-1-4939-3862-9
• eBook ISBN 978-1-4419-0925-1
• Series ISSN 0172-7397
• Edition Number 1
• Number of Pages XIX, 697
• Number of Illustrations 0 b/w illustrations, 0 illustrations in colour
• Topics
• Buy this book on publisher's site
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