Geodesic
Linear model genealogical tree application to an odontology experiment
Discussiones Mathematicae. Probability and Statistics, Tome 27 (2007) no. 1-2, pp. 47-77

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Commutative Jordan algebras play a central part in orthogonal models. We apply the concepts of genealogical tree of an Jordan algebra associated to a linear mixed model in an experiment conducted to study optimal choosing of dentist materials. Apart from the conclusions of the experiment itself, we show how to proceed in order to take advantage of the great possibilities that Jordan algebras and mixed linear models give to practitioners.
Keywords: commutative Jordan algebra, binary operations, Kronecker matrix product, lattice, projectors 
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Covas, Ricardo. Linear model genealogical tree application to an odontology experiment. Discussiones Mathematicae. Probability and Statistics, Tome 27 (2007) no. 1-2, pp. 47-77. http://geodesic.mathdoc.fr/item/DMPS_2007_27_1-2_a3/