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2006 | 26 | 2 | 179-191
Tytuł artykułu

ANOVA using commutative Jordan algebras, an application

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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.
Twórcy
  • Mathematics Department, Faculty of Science and Technology, New University of Lisbon, Monte da Caparica 2829-516 Caparica
  • 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.
Typ dokumentu
Bibliografia
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bwmeta1.element.bwnjournal-article-doi-10_7151_dmps_1081
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