Geodesic
ANOVA using commutative Jordan algebras, an application
Discussiones Mathematicae. Probability and Statistics, Tome 26 (2006) no. 2, pp. 179-191

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Binary operations on commutative Jordan algebras are used to carry out the ANOVA of a two layer model. The treatments in the first layer nests those in the second layer, that being a sub-model for each treatment in the first layer. We present an application with data retried from agricultural experiments.
Keywords: commutative Jordan algebras, variance components, orthogonal models, ANOVA 
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Rodrigues, Paulo; Mexia, João. ANOVA using commutative Jordan algebras, an application. Discussiones Mathematicae. Probability and Statistics, Tome 26 (2006) no. 2, pp. 179-191. http://geodesic.mathdoc.fr/item/DMPS_2006_26_2_a4/