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Strictly associated models, prime basis factorials: an application

Francisco Carvalho (2011)

Discussiones Mathematicae Probability and Statistics

Mixed models will be considered using the Commutative Jordan Algebra of Symmetric matrices approach. Prime basis factorial models will now be considered in the framework provided by Commutative Jordan Algebra of Symmetric matrices. This will enable to obtain fractional replicates when the number of levels is neither a prime or a power of a prime. We present an application to the effect of lidocaine, at an enzymatic level, on the heart muscle of beagle dogs

The determination of factors in linear models of factor analysis

Petr Kratochvíl (1990)

Aplikace matematiky

The author shows that a decomposition of a covariance matrix = 𝐀𝐀 ' implies the corresponding model, i.e. the existence of factors f j such that a i j f j is true. The result is applied to the general linear model of factor analysis. A procedure for computing the factor score is proposed.

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