Extending the Linear Model with R: Generalized Linear, Mixed Effects and Nonparametric Regression Models, Second Edition

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CRC Press, Mar 23, 2016 - Mathematics - 413 pages

Start Analyzing a Wide Range of Problems

Since the publication of the bestselling, highly recommended first edition, R has considerably expanded both in popularity and in the number of packages available. Extending the Linear Model with R: Generalized Linear, Mixed Effects and Nonparametric Regression Models, Second Edition takes advantage of the greater functionality now available in R and substantially revises and adds several topics.

New to the Second Edition

  • Expanded coverage of binary and binomial responses, including proportion responses, quasibinomial and beta regression, and applied considerations regarding these models
  • New sections on Poisson models with dispersion, zero inflated count models, linear discriminant analysis, and sandwich and robust estimation for generalized linear models (GLMs)
  • Revised chapters on random effects and repeated measures that reflect changes in the lme4 package and show how to perform hypothesis testing for the models using other methods
  • New chapter on the Bayesian analysis of mixed effect models that illustrates the use of STAN and presents the approximation method of INLA
  • Revised chapter on generalized linear mixed models to reflect the much richer choice of fitting software now available
  • Updated coverage of splines and confidence bands in the chapter on nonparametric regression
  • New material on random forests for regression and classification
  • Revamped R code throughout, particularly the many plots using the ggplot2 package
  • Revised and expanded exercises with solutions now included

Demonstrates the Interplay of Theory and Practice

This textbook continues to cover a range of techniques that grow from the linear regression model. It presents three extensions to the linear framework: GLMs, mixed effect models, and nonparametric regression models. The book explains data analysis using real examples and includes all the R commands necessary to reproduce the analyses.

 

Contents

Introduction
1
Binary Response
25
Binomial and Proportion Responses
51
Variations on Logistic Regression
67
Count Regression
83
Contingency Tables
103
Multinomial Data
129
Generalized Linear Models
151
Bayesian Mixed Effect Models
255
Mixed Effect Models for Nonnormal Responses
275
Nonparametric Regression
297
Additive Models
321
Trees
343
Neural Networks
365
Likelihood Theory
375
About R
383

Other GLMs
175
Random Effects
195
Repeated Measures and Longitudinal Data
237
Bibliography
385
Back Cover
395
Copyright

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About the author (2016)

Julian J. Faraway is a professor of statistics in the Department of Mathematical Sciences at the University of Bath. His research focuses on the analysis of functional and shape data with particular application to the modeling of human motion. He earned a PhD in statistics from the University of California, Berkeley.

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