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A simple comprehensive model for the analysis of covariance structures
Author(s) -
McDonald Roderick P.
Publication year - 1978
Publication title -
british journal of mathematical and statistical psychology
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 3.157
H-Index - 51
eISSN - 2044-8317
pISSN - 0007-1102
DOI - 10.1111/j.2044-8317.1978.tb00573.x
Subject(s) - covariance , simple (philosophy) , variety (cybernetics) , covariance function , mathematics , function (biology) , calculus (dental) , analysis of covariance , computer science , econometrics , algorithm , statistics , medicine , philosophy , dentistry , epistemology , evolutionary biology , biology
A model is described which contains as special cases a large number of models for the analysis of covariance structures. Using rules for a calculus of functions of matrices given by McDonald & Swaminathan (1973), the first and second derivatives are given, for any loss function, with respect to the parameters of the hypothesis, thus enabling a variety of methods of fitting and testing it.