The Linear Model and Hypothesis : A General Unifying Theory
Softcover reprint of the original 1st ed. 2015
by
George Seber
Book Details
Format
Paperback / Softback
Book Series
Springer Series in Statistics
ISBN-10
3319349171
ISBN-13
9783319349176
Edition
Softcover reprint of the original 1st ed. 2015
Publisher
Springer International Publishing AG
Imprint
Springer International Publishing AG
Country of Manufacture
CH
Country of Publication
GB
Publication Date
Aug 23rd, 2016
Print length
205 Pages
Weight
346 grams
Dimensions
15.70 x 23.50 x 1.80 cms
Ksh 9,000.00
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This book provides a concise and integrated overview of hypothesis testing in four important subject areas, namely linear and nonlinear models, multivariate analysis, and large sample theory.
This book provides a concise and integrated overview of hypothesis testing in four important subject areas, namely linear and nonlinear models, multivariate analysis, and large sample theory. The approach used is a geometrical one based on the concept of projections and their associated idempotent matrices, thus largely avoiding the need to involvematrix ranks. It is shown that all the hypotheses encountered are either linear or asymptotically linear, and that all the underlying models used are either exactly or asymptotically linear normal models. This equivalence can be used, for example, to extend the concept of orthogonality to other models in the analysis of variance, and to show that the asymptotic equivalence of the likelihood ratio, Wald, and Score (Lagrange Multiplier) hypothesis tests generally applies.
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