Description: Plane Answers to Complex Questions Please note: this item is printed on demand and will take extra time before it can be dispatched to you (up to 20 working days). The Theory of Linear Models Author(s): Ronald Christensen Format: Paperback Publisher: Springer Nature Switzerland AG, Switzerland Imprint: Springer Nature Switzerland AG ISBN-13: 9783030320997, 978-3030320997 Synopsis 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: estimation including biased and Bayesian estimation, significance testing, ANOVA, 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: best linear and best linear unbiased prediction, split plot models, balanced incomplete block designs, testing for lack of fit, testing for independence, models with singular covariance matrices, diagnostics, collinearity, and variable selection. This new edition includes new sections on alternatives to least squares estimation and the variance-bias tradeoff, expanded discussion of variable selection, new material on characterizing the interaction space in an unbalanced two-way ANOVA, Freedman's critique of the sandwich estimator, and much more.
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End Time: 2025-01-05T09:05:35.000Z
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Book Title: Plane Answers to Complex Questions
Item Height: 235 mm
Item Width: 155 mm
Series: Springer Texts in Statistics
Author: Ronald Christensen
Publication Name: Plane Answers to Complex Questions: the Theory of Linear Models
Format: Paperback
Language: English
Publisher: Springer Nature Switzerland A&G
Subject: Mathematics
Publication Year: 2021
Type: Textbook
Item Weight: 836 g
Number of Pages: 529 Pages