Coordinate-Free Approach to Linear Models

Name: Coordinate-Free Approach to Linear Models
Price: 28.58 USD
Availability: InStock
ISBN: 9780521868426

ISBN-10: 0521868424

ISBN-13: 9780521868426

Edition: 2006

Authors: Michael J. Wichura, R. Gill, B. D. Ripley, S. Ross, B. Silverman

List price: $77.99

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Description:

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 nonrandom 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 include inner product spaces, orthogonal projections, book orthogonal spaces, Tjur experimental designs,…

Book details

List price: $77.99
Copyright year: 2006
Publisher: Cambridge University Press
Publication date: 10/23/2006
Binding: Hardcover
Pages: 214
Size: 7.01" wide x 10.00" long x 0.51" tall
Weight: 1.298
Language: English

Professor Wichura has 37 years of teaching experience in the Department of Statistics at the University of Chicago. He has served as an Associate Editor for the Annals of Probability and was the Database Editor for the Current Index to Statistics from 1995 to 2000. He is the author of the PiCTeX macros (for drawing pictures in TeX) and the PiCTeX manual, and also of the TABLE macros and the TABLE manual.




Introduction



Topics in linear algebra



Random vectors



Gauss-Markov estimation



Normal theory: estimation



Normal theory: testing



Analysis of covariance



Missing observations.