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2007 | 27 | 1-2 | 99-115
Tytuł artykułu

Variance components estimation in generalized orthogonal models

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EN
Abstrakty
EN
The model $y = ∑_{j=1}^w X_j β̲_j + e̲$ is generalized orthogonal if the orthogonal projection matrices on the range spaces of matrices $X_j$, j = 1, ..., w, commute. Unbiased estimators are obtained for the variance components of such models with cross-nesting.
Twórcy
  • Mathematics Scientific Area Instituto Superior de Engenharia de Lisboa, Rua Conselheiro Emídio Navarro, 01, 1959-007 Lisboa, Portugal
autor
  • Mathematics Scientific Area Instituto Superior de Engenharia de Lisboa, Rua Conselheiro Emídio Navarro, 01, 1959-007 Lisboa, Portugal
  • Mathematics Department, Universidade da Beira Interior, 6201-001 Covilhã, Portugal
  • Department of Mathematics, Faculty of Science and Technology, New University of Lisbon, Monte de Caparica 2829-516 Caparica, Portugal
Bibliografia
  • [1] C. Fernandes, P. Ramos and J.T. Mexia, Optimização de Delineamentos em Escada Simples, Actas do XII Congresso Anual da SPE (2005), 247-253.
  • [2] C. Fernandes, P. Ramos and J.T. Mexia, Optimization of Nested Step Designs, Biometrical Letters 42-2 (2005), 143-151.
  • [3] C. Fernandes, P. Ramos and J.T. Mexia, Evenness conditions for four cross nested models, Biometrical Letters 43-2 (2006), 109-130.
  • [4] M. Fonseca, J.T. Mexia and R. Zmyślony, Exact distributions for the generalized F tests, Discussiones Mathematicae - Probability and Statistics 22 (2002), 37-51.
  • [5] E.L. Lehmann, Testing Statistical Hypotesis, Jonh Willey and Sons, New York 1952.
  • [6] J. Malley, Statistical Applications of Jordan Algebras, Springer-Verlag 1994.
  • [7] A. Michalski and R. Zmyślony, Testing hypothesis for variance components in mixed linear models, Statistics 27 (1996), 297-310.
  • [8] A. Michalski and R. Zmyślony, Testing hypothesis for linear functions of parameters in mixed linear models, Tatra Mountain Mathematical Publications 1999.
  • [9] J. Nelder, The interpretation of negative components of variance, Biometrika 41 (1954), 544-548.
Typ dokumentu
Bibliografia
Identyfikatory
Identyfikator YADDA
bwmeta1.element.bwnjournal-article-doi-10_7151_dmps_1090
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