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 Data Science in Practice by George Seber
Cover of the book Endoscopic Imaging Techniques and Tools by George Seber
Cover of the book Investing in Information by George Seber
Cover of the book Determinants of Economic Growth in Africa by George Seber
Cover of the book Digital Urban Acupuncture by George Seber
Cover of the book Computer Vision – ECCV 2018 by George Seber
Cover of the book Smart Technologies and Innovation for a Sustainable Future by George Seber
Cover of the book Drought Stress Tolerance in Plants, Vol 2 by George Seber
Cover of the book The Management of Additive Manufacturing by George Seber
Cover of the book English Medium Instruction in Higher Education in Asia-Pacific by George Seber
Cover of the book African and Afro-Caribbean Repatriation, 1919–1922 by George Seber
Cover of the book Applied Statistical Methods in Agriculture, Health and Life Sciences by George Seber
Cover of the book Virtue Epistemology Naturalized by George Seber
Cover of the book Geological Setting, Palaeoenvironment and Archaeology of the Red Sea by George Seber
Cover of the book Advances in Stochastic and Deterministic Global Optimization 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