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 Excel 2013 for Biological and Life Sciences Statistics by George Seber
Cover of the book Percolation Theory for Flow in Porous Media by George Seber
Cover of the book Computer Vision – ECCV 2016 Workshops by George Seber
Cover of the book Chemical Electrostatics by George Seber
Cover of the book Residual Stress, Thermomechanics & Infrared Imaging, Hybrid Techniques and Inverse Problems, Volume 7 by George Seber
Cover of the book Ethical Assessments of Emerging Technologies by George Seber
Cover of the book Numerical Methods and Applications by George Seber
Cover of the book Advancing Culture of Living with Landslides by George Seber
Cover of the book Managing BRCA Mutation Carriers by George Seber
Cover of the book Rough Sets by George Seber
Cover of the book Cultural, Autobiographical and Absent Memories of Orphanhood by George Seber
Cover of the book Perception, Affectivity, and Volition in Husserl’s Phenomenology by George Seber
Cover of the book Perspectives in Business Informatics Research by George Seber
Cover of the book Logic Synthesis for Finite State Machines Based on Linear Chains of States by George Seber
Cover of the book Proteomics in Domestic Animals: from Farm to Systems Biology 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