ANOVA using commutative Jordan algebras, an application

Paulo Canas Rodrigues; João Tiago Mexia

Discussiones Mathematicae Probability and Statistics (2006)

  • Volume: 26, Issue: 2, page 179-191
  • ISSN: 1509-9423

Abstract

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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.

How to cite

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Paulo Canas Rodrigues, and João Tiago Mexia. "ANOVA using commutative Jordan algebras, an application." Discussiones Mathematicae Probability and Statistics 26.2 (2006): 179-191. <http://eudml.org/doc/277070>.

@article{PauloCanasRodrigues2006,
abstract = {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.},
author = {Paulo Canas Rodrigues, João Tiago Mexia},
journal = {Discussiones Mathematicae Probability and Statistics},
keywords = {commutative Jordan algebras; variance components; orthogonal models; ANOVA},
language = {eng},
number = {2},
pages = {179-191},
title = {ANOVA using commutative Jordan algebras, an application},
url = {http://eudml.org/doc/277070},
volume = {26},
year = {2006},
}

TY - JOUR
AU - Paulo Canas Rodrigues
AU - João Tiago Mexia
TI - ANOVA using commutative Jordan algebras, an application
JO - Discussiones Mathematicae Probability and Statistics
PY - 2006
VL - 26
IS - 2
SP - 179
EP - 191
AB - 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.
LA - eng
KW - commutative Jordan algebras; variance components; orthogonal models; ANOVA
UR - http://eudml.org/doc/277070
ER -

References

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  1. [1] D.J.C. Ferreira, Variáveis pivot indutoras e componentes de variância em modelos normais ortogonais, PhD thesis - Covilhã 2005. 
  2. [2] M. Fonseca, J.T. Mexia and R. Zmyślony, An Application to Grapevines of Estimating and Testing of Variance Components, Biometrical Letters 40 (2002), 1-7. 
  3. [3] M. Fonseca, J.T. Mexia and R. Zmyślony, Estimators and Tests for Variance Components in Cross Nested Orthogonal Models, Discussiones Mathematicae - Probability and Statistics 23 (2003), 173-201. Zbl1049.62065
  4. [4] M. Fonseca, J.T. Mexia and R. Zmyślony, Binary Operations on Jordan Algebras and Orthogonal Normal Models, Linear Algebra and Its Applications 417 (2006), 75-86. Zbl1113.62004
  5. [5] A.I. Khuri, T. Mathew and B.K. Sinha, Statistical tests for mixed linear models, John Wiley and Sons, New York 1997. Zbl0893.62009
  6. [6] P.C. Rodrigues and J.T. Mexia, Estimação de Componentes de Variância em Modelos Equilibrados com Cruzamento e Encaixe, in Estatística Jubilar-Actas do XII Congresso Anual da SPE 2005. 
  7. [7] J. Seely, Quadratic subspaces and completeness, Ann. Math. Stat. 42 (1971), 710-721. Zbl0249.62067

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