Generalized Additive Models: An Introduction with R

Simon N. Wood

February 27, 2006 by Chapman and Hall/CRC
Textbook - 410 Pages - 103 B/W Illustrations
ISBN 9781584884743 - CAT# C4746
Series: Chapman & Hall/CRC Texts in Statistical Science

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  • Provides a complete resource for the penalized regression spline approach to GAMs, supported by the R package mgcv
  • Covers linear, generalized linear, generalized additive, and corresponding mixed models within a single volume
  • Develops skill in the practical applications of the models discussed while imparting a solid understanding of the underlying theory
  • Includes copious illustrations, worked out examples, and exercises and solutions
  • Summary

    Now in widespread use, generalized additive models (GAMs) have evolved into a standard statistical methodology of considerable flexibility. While Hastie and Tibshirani's outstanding 1990 research monograph on GAMs is largely responsible for this, there has been a long-standing need for an accessible introductory treatment of the subject that also emphasizes recent penalized regression spline approaches to GAMs and the mixed model extensions of these models.

     Generalized Additive Models: An Introduction with R imparts a thorough understanding of the theory and practical applications of GAMs and related advanced models, enabling informed use of these very flexible tools. The author bases his approach on a framework of penalized regression splines, and builds a well-grounded foundation through motivating chapters on linear and generalized linear models. While firmly focused on the practical aspects of GAMs, discussions include fairly full explanations of the theory underlying the methods. Use of the freely available R software helps explain the theory and illustrates the practicalities of linear, generalized linear, and generalized additive models, as well as their mixed effect extensions.

    The treatment is rich with practical examples, and it includes an entire chapter on the analysis of real data sets using R and the author's add-on package mgcv. Each chapter includes exercises, for which complete solutions are provided in an appendix.

    Concise, comprehensive, and essentially self-contained, Generalized Additive Models: An Introduction with R prepares readers with the practical skills and the theoretical background needed to use and understand GAMs and to move on to other GAM-related methods and models, such as SS-ANOVA, P-splines, backfitting and Bayesian approaches to smoothing and additive modelling.