Algebraic Structure for Interaction on Mixed Models

Paulo Ramos; Célia Fernandes; João Tiago Mexia

doi:10.1080/09720510.2014.927622

Algebraic Structure for Interaction on Mixed Models

Paulo Ramos, Célia Fernandes, João Tiago Mexia

Research output: Contribution to journal › Article › peer-review

3 Citations (Scopus)

Abstract

Abstract: 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.

Original language	English
Pages (from-to)	43-52
Number of pages	10
Journal	Journal of Interdisciplinary Mathematics
Volume	18
DOIs	https://doi.org/10.1080/09720510.2014.927622
Publication status	Published - 2015

Keywords

Binary operations
Commutative Jordan algebras
Interaction
Linear mixed models

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10.1080/09720510.2014.927622Licence: CC BY-NC

Cite this

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abstract = "Abstract: 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.",

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N2 - Abstract: 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.

AB - Abstract: 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.

KW - Binary operations

KW - Commutative Jordan algebras

KW - Interaction

KW - Linear mixed models

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Algebraic Structure for Interaction on Mixed Models

Abstract

Keywords

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