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

CRC Press, Feb 10, 2016 - Mathematics - 312 pages
Linear models are central to the practice of statistics and form the foundation of a vast range of statistical methodologies. Julian J. Faraway's critically acclaimed Linear Models with R examined regression and analysis of variance, demonstrated the different methods available, and showed in which situations each one applies.

Following in those footsteps, Extending the Linear Model with R surveys the techniques that grow from the regression model, presenting three extensions to that framework: generalized linear models (GLMs), mixed effect models, and nonparametric regression models. The author's treatment is thoroughly modern and covers topics that include GLM diagnostics, generalized linear mixed models, trees, and even the use of neural networks in statistics. To demonstrate the interplay of theory and practice, throughout the book the author weaves the use of the R software environment to analyze the data of real examples, providing all of the R commands necessary to reproduce the analyses. All of the data described in the book is available at http://people.bath.ac.uk/jjf23/ELM/

Statisticians need to be familiar with a broad range of ideas and techniques. This book provides a well-stocked toolbox of methodologies, and with its unique presentation of these very modern statistical techniques, holds the potential to break new ground in the way graduate-level courses in this area are taught.

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Contents

 Binomial Data 25 Count Regression 55 Contingency Tables 69 Multinomial Data 95 Generalized Linear Models 113 Other GLMs 133 Random Effects 151 Repeated Measures and Longitudinal Data 183
 Nonparametric Regression 209 Additive Models 229 Trees 251 Neural Networks 267 Likelihood Theory 277 R Information 285 Bibliography 287 Back Cover 295

 Mixed Effect Models for Nonnormal Responses 199