An Introduction to Generalized Linear Models

An Introduction to Generalized Linear Models, Fourth Edition provides a cohesive framework for statistical modelling, with an emphasis on numerical and graphical methods. This new edition of a bestseller has been updated with new sections on non-linear associations, strategies for model selection, and a Postface on good statistical practice.

Like its predecessor, this edition presents the theoretical background of generalized linear models (GLMs) before focusing on methods for analyzing particular kinds of data. It covers Normal, Poisson, and Binomial distributions; linear regression models; classical estimation and model fitting methods; and frequentist methods of statistical inference. After forming this foundation, the authors explore multiple linear regression, analysis of variance (ANOVA), logistic regression, log-linear models, survival analysis, multilevel modeling, Bayesian models, and Markov chain Monte Carlo (MCMC) methods.

Introduces GLMs in a way that enables readers to understand the unifying structure that underpins them

Discusses common concepts and principles of advanced GLMs, including nominal and ordinal regression, survival analysis, non-linear associations and longitudinal analysis

Connects Bayesian analysis and MCMC methods to fit GLMs

Contains numerous examples from business, medicine, engineering, and the social sciences

Provides the example code for R, Stata, and WinBUGS to encourage implementation of the methods

Offers the data sets and solutions to the exercises online

Describes the components of good statistical practice to improve scientific validity and reproducibility of results.

Using popular statistical software programs, this concise and accessible text illustrates practical approaches to estimation, model fitting, and model comparisons.

Table of Contents

Introduction

Model Fitting

Exponential Family and Generalized

Linear Models

Estimation

Inference

Normal Linear Models

Binary Variables and Logistic Regression

Nominal and Ordinal Logistic Regression

Poisson Regression and Log-Linear Models

Survival Analysis

Clustered and Longitudinal Data

Bayesian Analysis

Markov Chain Monte Carlo Methods

Example Bayesian Analyses

Postface

Appendix