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Item Details
Title: THE COORDINATE-FREE APPROACH TO LINEAR MODELS
By: Michael J. Wichura, R. Gill, Brian D. Ripley
Format: Hardback

List price: £63.00
Our price: £55.13
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ISBN 10: 0521868424
ISBN 13: 9780521868426
Availability: Usually dispatched within 1-3 weeks.
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Publisher: CAMBRIDGE UNIVERSITY PRESS
Pub. date: 23 October, 2006
Series: Cambridge Series in Statistical and Probabilistic Mathematics No. 19
Pages: 214
Description: Treats Model I ANOVA and linear regression models with non-random predictors in a finite-dimensional setting.
Synopsis: This book is about the coordinate-free, or geometric, approach to the theory of linear models; more precisely, Model I ANOVA and linear regression models with non-random predictors in a finite-dimensional setting. This approach is more insightful, more elegant, more direct, and simpler than the more common matrix approach to linear regression, analysis of variance, and analysis of covariance models in statistics. The book discusses the intuition behind and optimal properties of various methods of estimating and testing hypotheses about unknown parameters in the models. Topics covered range from linear algebra, such as inner product spaces, orthogonal projections, book orthogonal spaces, Tjur experimental designs, basic distribution theory, the geometric version of the Gauss-Markov theorem, optimal and non-optimal properties of Gauss-Markov, Bayes, and shrinkage estimators under assumption of normality, the optimal properties of F-test, and the analysis of covariance and missing observations.
Illustrations: 7 tables
Publication: UK
Imprint: Cambridge University Press
Returns: Returnable
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RANDOM GRAPH DYNAMICS (HB)
S PROGRAMMING (HB)
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SADDLEPOINT APPROXIMATIONS WITH APPLICATIONS (HB)
SPATIAL STATISTICS
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STATISTICAL ANALYSIS OF STOCHASTIC PROCESSES IN TIME (HB)
STATISTICAL INFERENCE FOR SPATIAL PROCESSES (PB)
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THE COORDINATE-FREE APPROACH TO LINEAR MODELS

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