An Introduction to Generalized Linear Models, Third Edition

✍ Scribed by Barnett, Adrian; Dobson, Annette J

• Publisher: CRC Press
• Year: 2008
• Tongue: English
• Leaves: 316
• Series: Chapman & Hall/CRC Texts in Statistical Science
• Edition: 3rd ed
• Category: Library

✦ Synopsis

Introduction Background Scope Notation Distributions Related to the Normal Distribution Quadratic Forms Estimation Model Fitting Introduction Examples Some Principles of Statistical Modeling Notation and Coding for Explanatory Variables Exponential Family and Generalized Linear Models Introduction Exponential Family of Distributions Properties of Distributions in the Exponential Family Generalized Linear Models Examples Estimation Introduction Example: Failure Times for Pressure Vessels Maximum Likelihood Estimation Poisson Regression Example Inference Introduct. Read more...

Abstract:

Offers a cohesive framework for statistical modeling. Emphasizing numerical and graphical methods, this work enables readers to understand the unifying structure that underpins GLMs. It discusses common concepts and principles of advanced GLMs, including nominal and ordinal regression, survival analysis, and longitudinal analysis. Read more...

✦ Table of Contents

Content: Front cover
Contents
Preface
CHAPTER 1: Introduction
CHAPTER 2: Model Fitting
CHAPTER 3: Exponential Family and Generalized Linear Models
CHAPTER 4: Estimation
CHAPTER 5: Inference
CHAPTER 6: Normal Linear Models
CHAPTER 7: Binary Variables and Logistic Regression
CHAPTER 8: Nominal and Ordinal Logistic Regression
CHAPTER 9: Poisson Regression and Log-Linear Models
CHAPTER 10: Survival Analysis
CHAPTER 11: Clustered and Longitudinal Data
CHAPTER 12: Bayesian Analysis
CHAPTER 13: Markov Chain Monte Carlo Methods
CHAPTER 14: Example Bayesian Analyses
Appendix
Software