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Plane Answers to Complex Questions - The Theory of Linear Models (Paperback, Softcover reprint of hardcover 3rd ed. 2002)
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Plane Answers to Complex Questions - The Theory of Linear Models (Paperback, Softcover reprint of hardcover 3rd ed. 2002)
Series: Springer Texts in Statistics
Expected to ship within 10 - 15 working days
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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: 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 discussion of identifiability
and its relationship to estimability, different approaches to the
theories of testing parametric hypotheses and analysis of
covariance, additional discussion of the geometry of least squares
estimation and testing, new discussion of models for experiments
with factorial treatment structures, and a new appendix on possible
causes for getting test statistics that are so small as to be
suspicious. Ronald Christensen is a Professor of Statistics at the
University of New Mexico. He is a Fellow of the American
Statistical Association and the Institute of Mathematical
Statistics.
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