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Plane Answers to Complex Questions: The Theory of Linear Models
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Catalogue Information
Field name
Details
Dewey Class
519.535
Title
Plane Answers to Complex Questions (EB) : The Theory of Linear Models / by Ronald Christensen.
Author
Christensen, Ronald
Other name(s)
SpringerLink (Online service)
Edition statement
4th edition
Publication
New York, NY : Springer , 2011.
Physical Details
XXII, 494 pages : online resource.
Series
Springer Texts in Statistics
1431-875X
ISBN
9781441998163
Summary Note
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 Graybillâs generalization of Tukeyâs one degree of freedom for nonadditivity test.:
Contents note
Introduction -- Estimation -- Testing -- One-Way ANOVA -- Multiple Comparison Techniques -- Regression Analysis -- Multifactor Analysis of Variance -- Experimental Design Models -- Analysis of Covariance -- General Gauss-Markov Models -- Split Plot Models -- Mixed Models and Variance Components -- Model Diagnostics -- Variable Selection -- Collinearity and Alternative Estimates.-.
System details note
Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users).
Internet Site
http://dx.doi.org/10.1007/978-1-4419-9816-3
Links to Related Works
Subject References:
Mathematical Statistics
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Statistical Theory and Methods
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Statistics
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Authors:
Christensen, Ronald
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Corporate Authors:
SpringerLink (Online service)
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Series:
Springer Texts in Statistics
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Classification:
519.535
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