The Coordinate-Free Approach to Linear Models (Cambridge

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The Coordinate-Free Approach to Linear Models (Cambridge Series in Statistical and Probabilistic Mathematics, Series Number 19)

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, basic distribution theory, the geometric version of the Gauss-Markov theorem, optimal and nonoptimal properties of Gauss-Markov, Bayes, and shrinkage estimators under the assumption of normality, the optimal properties of F-tests, and the analysis of covariance and missing observations.
Country USA
Brand Cambridge University Press
Manufacturer Cambridge University Press
Binding Hardcover
ItemPartNumber 7 tables
UnitCount 1
Format Illustrated
ReleaseDate 0000-00-00

Country	USA
Brand	Cambridge University Press
Manufacturer	Cambridge University Press
Binding	Hardcover
ItemPartNumber	7 tables
UnitCount	1
Format	Illustrated
ReleaseDate	0000-00-00

The Coordinate-Free Approach to Linear Models (Cambridge Series in Statistical and Probabilistic Mathematics, Series Number 19)

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