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Foundations of linear and generalized linear models / Alan Agresti.

By: Material type: TextTextSeries: Wiley series in probability and statisticsPublication details: New Jersey : John Wiley & Sons Inc., c2015.Description: xiii, 444 p. : illustrations ; 25 cmISBN:
  • 9781118730034 (hardback)
Subject(s): DDC classification:
  • 000SA.062 23 Ag277
Contents:
1. Introduction to linear and generalized linear models -- 2. Linear models: least squares theory -- 3. Normal linear models: statistical inference -- 4. Generalized linear models: models fitting and inference -- 5. Models for binary data -- 6. Multinomial response models -- 7. Models for count data -- 8. Quasi-likelihood methods -- 9. Modeling correlated responses -- 10. Bayesian linear and generalized linear modeling -- 11. Extensions of generalized linear models-- Appendices-- References-- Indexes.
Summary: This book presents an overview of the foundations and the key ideas and results of linear and generalized linear models under one cover. Written by a prolific academic, researcher, and textbook writer, Foundations of Linear and Generalized Linear Models is soon to become the gold standard by which all existing textbooks on the topic will be compared. While the emphasis is clearly and succinctly on theoretical underpinnings, applications in "R" are presented when they help to elucidate the content or promote practical model building. Each chapter contains approximately 15-20 exercises, primarily for readers to practice and extend the theory, but, also to assimilate the ideas by doing some data analysis. The carefully crafted models and examples convey basic concepts and do not get mired down in non-trivial considerations. An author-maintained web site includes, among other numerous pedagogical supplements, analyses that parallel the "R" routines from the book in SAS, SPSS and Stata.
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Includes bibliographical references and indexes.

1. Introduction to linear and generalized linear models --
2. Linear models: least squares theory --
3. Normal linear models: statistical inference --
4. Generalized linear models: models fitting and inference --
5. Models for binary data --
6. Multinomial response models --
7. Models for count data --
8. Quasi-likelihood methods --
9. Modeling correlated responses --
10. Bayesian linear and generalized linear modeling --
11. Extensions of generalized linear models--
Appendices--
References--
Indexes.

This book presents an overview of the foundations and the key ideas and results of linear and generalized linear models under one cover. Written by a prolific academic, researcher, and textbook writer, Foundations of Linear and Generalized Linear Models is soon to become the gold standard by which all existing textbooks on the topic will be compared. While the emphasis is clearly and succinctly on theoretical underpinnings, applications in "R" are presented when they help to elucidate the content or promote practical model building. Each chapter contains approximately 15-20 exercises, primarily for readers to practice and extend the theory, but, also to assimilate the ideas by doing some data analysis. The carefully crafted models and examples convey basic concepts and do not get mired down in non-trivial considerations. An author-maintained web site includes, among other numerous pedagogical supplements, analyses that parallel the "R" routines from the book in SAS, SPSS and Stata.

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