The Linear Model and Hypothesis - A General Unifying Theory (Hardcover, 1st ed. 2015)

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.

General

Imprint:	Springer International Publishing AG
Country of origin:	Switzerland
Series:	Springer Series in Statistics
Release date:	October 2015
First published:	2015
Authors:	George Seber
Dimensions:	235 x 155 x 14mm (L x W x T)
Format:	Hardcover
Pages:	205
Edition:	1st ed. 2015
ISBN-13:	978-3-319-21929-5
Categories:	Books > Science & Mathematics > Mathematics > Probability & statistics Books > Social sciences > Sociology, social studies > Social research & statistics > General Books > Science & Mathematics > Mathematics > Applied mathematics > Non-linear science
LSN:	3-319-21929-4
Barcode:	9783319219295

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