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portada The Linear Model and Hypothesis: A General Unifying Theory
Type
Physical Book
Author
Publisher
Language
English
Pages
205
Format
Paperback
Dimensions
23.4x15.6x1.2 cm
Weight
0.31 kg.
ISBN13
9783319349176
Categories

The Linear Model and Hypothesis: A General Unifying Theory

George Seber (Author) · Springer · Paperback

The Linear Model and Hypothesis: A General Unifying Theory - Seber, George

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Synopsis "The Linear Model and Hypothesis: A General Unifying 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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