The Linear Model and Hypothesis

A General Unifying Theory

Nonfiction, Social & Cultural Studies, Social Science, Statistics, Science & Nature, Mathematics
Cover of the book The Linear Model and Hypothesis by George Seber, Springer International Publishing
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: George Seber ISBN: 9783319219301
Publisher: Springer International Publishing Publication: October 8, 2015
Imprint: Springer Language: English
Author: George Seber
ISBN: 9783319219301
Publisher: Springer International Publishing
Publication: October 8, 2015
Imprint: Springer
Language: English

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.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

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.

More books from Springer International Publishing

Cover of the book Biological Determinism, Free Will and Moral Responsibility by George Seber
Cover of the book The Korean Government and Public Policies in a Development Nexus by George Seber
Cover of the book Trauma and Combat Critical Care in Clinical Practice by George Seber
Cover of the book Astro-Imaging Projects for Amateur Astronomers by George Seber
Cover of the book Computational Methods and Experimental Testing In Mechanical Engineering by George Seber
Cover of the book Intangibles, Market Failure and Innovation Performance by George Seber
Cover of the book Atlantic Politics, Military Strategy and the French and Indian War by George Seber
Cover of the book Computational Problems in Science and Engineering by George Seber
Cover of the book Candida albicans: Cellular and Molecular Biology by George Seber
Cover of the book Advances in Neural Computation, Machine Learning, and Cognitive Research by George Seber
Cover of the book Ted Hughes, Nature and Culture by George Seber
Cover of the book Medicine, Knowledge and Venereal Diseases in England, 1886-1916 by George Seber
Cover of the book Global LAnd Surface Satellite (GLASS) Products by George Seber
Cover of the book Design Thinking Research by George Seber
Cover of the book Private Sector Development in West Africa by George Seber
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy