An Introduction to Generalized Linear Models

앞표지
CRC Press, 2008. 5. 12. - 320페이지
Continuing to emphasize numerical and graphical methods, An Introduction to Generalized Linear Models, Third Edition provides a cohesive framework for statistical modeling. This new edition of a bestseller has been updated with Stata, R, and WinBUGS code as well as three new chapters on Bayesian analysis.

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.

Using popular statistical software programs, this concise and accessible text illustrates practical approaches to estimation, model fitting, and model comparisons. It includes examples and exercises with complete data sets for nearly all the models covered.

 

목차

Introduction
1
Model Fitting
19
Exponential Family and Generalized Linear Models
45
Estimation
59
Inference
73
Normal Linear Models
89
Binary Variables and Logistic Regression
123
Nominal and Ordinal Logistic Regression
149
Clustered and Longitudinal Data
207
Bayesian Analysis
229
Markov Chain Monte Carlo Methods
243
Example Bayesian Analyses
267
Appendix
291
Software
293
References
295
Back cover
303

Poisson Regression and LogLinear Models
165
Survival Analysis
187

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