Algebraic structure for interaction on mixed models

Ramos, Paulo; Fernandes, Célia; Mexia, João Tiago

http://hdl.handle.net/10400.21/6176

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Authors

Ramos, Paulo

Fernandes, Célia

Mexia, João Tiago

Abstract(s)

Binary operations on commutative Jordan algebras, CJA, can be used to study interactions between sets of factors belonging to a pair of models in which one nests the other. It should be noted that from two CJA we can, through these binary operations, build CJA. So when we nest the treatments from one model in each treatment of another model, we can study the interactions between sets of factors of the first and the second models.

Keywords

Binary operations Commutative Jordan algebras Interaction Linear mixed models

URI

http://hdl.handle.net/10400.21/6176

Citation

RAMOS, Paulo; FERNANDES, Célia; MEXIA, João Tiago - Algebraic structure for interaction on mixed models. Journal of Interdisciplinary Mathematics. ISSN.0972-0502. Vol. 18, N.º 1-2, pp. 43-52