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

Julian J. Faraway

December 20, 2005 by Chapman and Hall/CRC
Textbook - 312 Pages - 83 B/W Illustrations
ISBN 9781584884248 - CAT# C424X
Series: Chapman & Hall/CRC Texts in Statistical Science

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Features

  • Offers an outstanding practical survey of statistical methods extended from the regression model
  • Presents all of the linear model extensions using a common framework, making estimation, inference, and model building and checking clearly understandable
  • Includes an introductory chapter that reviews the linear model and the basics of using R
  • Provides a companion website featuring all of the datasets used in the book

Summary

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.