Overview
- Updated version of a classic textbook in Statistics
- Focus on Fisherian inference, rather than the previous blend of Fisherian and Neyman–Pearson inference
- Illustrates the practical application of the projective approach to linear models
- Includes supplementary material: sn.pub/extras
Part of the book series: Springer Texts in Statistics (STS)
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Table of contents (15 chapters)
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Front Matter
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Back Matter
Keywords
About this book
This textbook provides a wide-ranging introduction to the use and theory of linear models for analyzing data. The author's emphasis is on providing a unified treatment of linear models, including analysis of variance models and regression models, based on projections, orthogonality, and other vector space ideas. Every chapter comes with numerous exercises and examples that make it ideal for a graduate-level course. All of the standard topics are covered in depth: ANOVA, estimation including Bayesian estimation, hypothesis testing, multiple comparisons, regression analysis, and experimental design models. In addition, the book covers topics that are not usually treated at this level, but which are important in their own right: balanced incomplete block designs, testing for lack of fit, testing for independence, models with singular covariance matrices, variance component estimation, best linear and best linear unbiased prediction, collinearity, and variable selection. This new edition includes a more extensive discussion of best prediction and associated ideas of R2, as well as new sections on inner products and perpendicular projections for more general spaces and Milliken and Graybill’s generalization of Tukey’s one degree of freedom for nonadditivity test.
Reviews
From the reviews of the fourth edition:
“Researchers and students interested in linear statistical models. … I admire Christensen’s very personal and somehow easy-going writing style. … All in all, Christensen’s fourth edition is an excellent course and reference book … .” (Simo Puntanen, International Statistical Review, Vol. 79 (3), 2011)Authors and Affiliations
About the author
Ronald Christensen is Professor of Statistics at the University of New Mexico, Fellow of the American Statistical Association (ASA) and the Institute of Mathematical Statistics, and former Chair of the ASA Section on Bayesian Statistical Science.
Bibliographic Information
Book Title: Plane Answers to Complex Questions
Book Subtitle: The Theory of Linear Models
Authors: Ronald Christensen
Series Title: Springer Texts in Statistics
DOI: https://doi.org/10.1007/978-1-4419-9816-3
Publisher: Springer New York, NY
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer Science+Business Media, LLC 2011
Softcover ISBN: 978-1-4614-2885-5Published: 15 July 2013
eBook ISBN: 978-1-4419-9816-3Published: 18 May 2011
Series ISSN: 1431-875X
Series E-ISSN: 2197-4136
Edition Number: 4
Number of Pages: XXII, 494
Topics: Statistical Theory and Methods