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Activity Number: 294
Type: Contributed
Date/Time: Tuesday, July 31, 2007 : 10:30 AM to 12:20 PM
Sponsor: Section on Statistical Education
Abstract - #309556
Title: Generalized Inverse Characteristics in Linear Statistical Modeling
Author(s): Fang Duan*+ and Cecil Hallum
Companies: Sam Houston State University and Sam Houston State University
Address: 2106 Avenue J Apt F, Huntsville, TX, 77340,
Keywords: generalized inverses ; linear models ; model constraints
Abstract:

Four key categories of generalized inverses and their applications in statistics, especially in general linear models are investigated in this study. The investigation will include coverage of the various general inverses referred to as 1) the generalized inverse, 2) the reflexive generalized inverse, 3) the normalized generalized inverse, and 4) the pseudoinverse. The various generalized inverse properties will be investigated in regard to their applications in statistics. These properties will be discussed through their applications particularly in the restricted general linear model , whereby the parameter is constrained further to satisfy the equality constraint . Also investigated is their contribution to solutions of systems of equations, in ridge regression, analysis of variance, and analysis of covariance models. Other peculiar properties will be highlighted as well.

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Revised September, 2007