ANOVA using commutative Jordan algebras, an application

• Autorzy: Paulo Canas Rodrigues , João Tiago Mexia
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

commutative Jordan algebras; variance components; orthogonal models; ANOVA

Kategorie tematyczne

• 62P10: Applications to biology and medical sciences
• 62J10: Analysis of variance and covariance

• Wydawca: Faculty of Mathematics, Computer Science and Econometrics, University of Zielona Góra
• Czasopismo: Discussiones Mathematicae Probability and Statistics
• Rocznik: 2006
• Tom: 26
• Numer: 2
• Strony: 179-191

Daty

wydano

2006

otrzymano

2006-07-18

Twórcy

autor

Paulo Canas Rodrigues

• Mathematics Department, Faculty of Science and Technology, New University of Lisbon, Monte da Caparica 2829-516 Caparica

autor

João Tiago Mexia

• Mathematics Department, Faculty of Science and Technology, New University of Lisbon, Monte da Caparica 2829-516 Caparica

Bibliografia

• [1] D.J.C. Ferreira, Variáveis pivot indutoras e componentes de variância em modelos normais ortogonais, PhD thesis - Covilhã 2005.
• [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] 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.
• [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.
• [5] A.I. Khuri, T. Mathew and B.K. Sinha, Statistical tests for mixed linear models, John Wiley and Sons, New York 1997.
• [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] J. Seely, Quadratic subspaces and completeness, Ann. Math. Stat. 42 (1971), 710-721.

Identyfikatory

DOI

10.7151/dmps.1081