Algebraic Structure for Interaction on Mixed Models

Paulo Ramos, Célia Fernandes, João Tiago Mexia

Research output: Contribution to journalArticle

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 languageEnglish
Pages (from-to)43-52
Number of pages10
JournalJournal of Interdisciplinary Mathematics
Volume18
DOIs
Publication statusPublished - 2015

Fingerprint

Mixed Model
Algebraic Structure
Binary operation
Nest
Interaction
Jordan Algebra
Commutative Algebra
Model
Algebra

Keywords

  • Binary operations
  • Commutative Jordan algebras
  • Interaction
  • Linear mixed models

Cite this

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Algebraic Structure for Interaction on Mixed Models. / Ramos, Paulo; Fernandes, Célia; Mexia, João Tiago.

In: Journal of Interdisciplinary Mathematics, Vol. 18, 2015, p. 43-52.

Research output: Contribution to journalArticle

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KW - Binary operations

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KW - Interaction

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