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Plane Answers to Complex Questions - The Theory of Linear Models (Paperback, 5th ed. 2020)
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Plane Answers to Complex Questions - The Theory of Linear Models (Paperback, 5th ed. 2020)
Series: Springer Texts in Statistics
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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.
General
Imprint: |
Springer Nature Switzerland AG
|
Country of origin: |
Switzerland |
Series: |
Springer Texts in Statistics |
Release date: |
August 2021 |
First published: |
2020 |
Authors: |
Ronald Christensen
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Dimensions: |
235 x 155mm (L x W) |
Format: |
Paperback
|
Pages: |
529 |
Edition: |
5th ed. 2020 |
ISBN-13: |
978-3-03-032099-7 |
Categories: |
Books >
Science & Mathematics >
Mathematics >
Probability & statistics
|
LSN: |
3-03-032099-5 |
Barcode: |
9783030320997 |
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