Generalized Linear Models :with Applications in Engineering and the Sciences ( Wiley Series in Probability and Statistics )

Publication subTitle :with Applications in Engineering and the Sciences

Publication series :Wiley Series in Probability and Statistics

Author: Raymond H. Myers  

Publisher: John Wiley & Sons Inc‎

Publication year: 2012

E-ISBN: 9780470556979

P-ISBN(Hardback):  9780470454633

Subject: O212 Statistics

Language: ENG

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Description

Praise for the First Edition

"The obvious enthusiasm of Myers, Montgomery, and Vining and their reliance on their many examples as a major focus of their pedagogy make Generalized Linear Models a joy to read. Every statistician working in any area of applied science should buy it and experience the excitement of these new approaches to familiar activities."
—Technometrics

Generalized Linear Models: With Applications in Engineering and the Sciences, Second Edition continues to provide a clear introduction to the theoretical foundations and key applications of generalized linear models (GLMs). Maintaining the same nontechnical approach as its predecessor, this update has been thoroughly extended to include the latest developments, relevant computational approaches, and modern examples from the fields of engineering and physical sciences.

This new edition maintains its accessible approach to the topic by reviewing the various types of problems that support the use of GLMs and providing an overview of the basic, related concepts such as multiple linear regression, nonlinear regression, least squares, and the maximum likelihood estimation procedure. Incorporating the latest developments, new features of this Second Edition include:

  • A new chapter on random effects and designs for GLMs

  • A thoroughly revised chapter on logistic and Poisson regression, now with additional results on goodness of fit testing, nominal and ordinal responses, and overdispersion

  • A new emphasis on GLM design, with added sections on designs for regression models and optimal designs for nonlinear regression models

  • Expanded discussion of weighted least squares, including examples that illustrate how to estimate the weights

  • Illustrations of R code to perform GLM analysis

The authors demonstrate the diverse applications of GLMs through numerous examples, from classical applications in the fields of biology and biopharmaceuticals to more modern examples related to engineering and quality assurance. The Second Edition has been designed to demonstrate the growing computational nature of GLMs, as SAS®, Minitab®, JMP®, and R software packages are used throughout the book to demonstrate fitting and analysis of generalized linear models, perform inference, and conduct diagnostic checking. Numerous figures and screen shots illustrating computer output are provided, and a related FTP site houses supplementary material, including computer commands and additional data sets.

Generalized Linear Models, Second Edition is an excellent book for courses on regression analysis and regression modeling at the upper-undergraduate and graduate level. It also serves as a valuable reference for engineers, scientists, and statisticians who must understand and apply GLMs in their work.

Chapter

Contents

pp.:  7 – 13

Preface

pp.:  13 – 17

2. Linear Regression Models

pp.:  25 – 93

3. Nonlinear Regression Models

pp.:  93 – 135

4. Logistic and Poisson Regression Models

pp.:  135 – 218

5. The Generalized Linear Model

pp.:  218 – 288

6. Generalized Estimating Equations

pp.:  288 – 335

7. Random Effects in Generalized Linear Models

pp.:  335 – 424

8. Designed Experiments and the Generalized Linear Model

pp.:  424 – 480

Appendix A.1. Background on Basic Test Statistics

pp.:  480 – 483

Appendix A.2. Background from the Theory of Linear Models

pp.:  483 – 488

Appendix A.3. The Gauss–Markov Theorem, Var(ε) = σ2I

pp.:  488 – 490

Appendix A.4. The Relationship Between Maximum Likelihood Estimation of the Logistic Regression Model and Weighted Least Squares

pp.:  490 – 494

Appendix A.5. Computational Details for GLMs for a Canonical Link

pp.:  494 – 497

Appendix A.6. Computational Details for GLMs for a Noncanonical Link

pp.:  497 – 500

References

pp.:  500 – 509

Index

pp.:  509 – 521