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Springer Texts in Statistics

Plane Answers to Complex Questions

The Theory of Linear Models

Authors: Christensen, Ronald

  • 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
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eBook $69.99
price for USA
  • ISBN 978-1-4419-9816-3
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Download immediately after purchase
Hardcover $99.00
price for USA
  • ISBN 978-1-4419-9815-6
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $99.00
price for USA
  • ISBN 978-1-4614-2885-5
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Rent the ebook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
About this Textbook

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.

About the authors

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.

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)

Table of contents (15 chapters)

Buy this book

eBook $69.99
price for USA
  • ISBN 978-1-4419-9816-3
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Download immediately after purchase
Hardcover $99.00
price for USA
  • ISBN 978-1-4419-9815-6
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $99.00
price for USA
  • ISBN 978-1-4614-2885-5
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Rent the ebook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
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Bibliographic Information

Bibliographic Information
Book Title
Plane Answers to Complex Questions
Book Subtitle
The Theory of Linear Models
Authors
Series Title
Springer Texts in Statistics
Copyright
2011
Publisher
Springer-Verlag New York
Copyright Holder
Springer Science+Business Media, LLC
eBook ISBN
978-1-4419-9816-3
DOI
10.1007/978-1-4419-9816-3
Hardcover ISBN
978-1-4419-9815-6
Softcover ISBN
978-1-4614-2885-5
Series ISSN
1431-875X
Edition Number
4
Number of Pages
XXII, 494
Topics