Variance components estimation in generalized orthogonal models

• Autorzy: Célia Fernandes , Paulo Ramos , Sandra Saraiva Ferreira , João Tiago Mexia
• Języki publikacji: 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.

Słowa kluczowe

EN

generalized orthogonal models; variance components; generalized cross nesting designs

Kategorie tematyczne

• 62E15: Exact distribution theory
• 62H15: Hypothesis testing
• 62H10: Distribution of statistics
• 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: 2007
• Tom: 27
• Numer: 1-2
• Strony: 99-115

Daty

wydano

2007

otrzymano

2007-08-10

poprawiono

2007-11-03

Twórcy

autor

Célia Fernandes

• Mathematics Scientific Area Instituto Superior de Engenharia de Lisboa, Rua Conselheiro Emídio Navarro, 01, 1959-007 Lisboa, Portugal

autor

Paulo Ramos

• Mathematics Scientific Area Instituto Superior de Engenharia de Lisboa, Rua Conselheiro Emídio Navarro, 01, 1959-007 Lisboa, Portugal

autor

Sandra Saraiva Ferreira

• Mathematics Department, Universidade da Beira Interior, 6201-001 Covilhã, Portugal

autor

João Tiago Mexia

• 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.

Identyfikatory

DOI

10.7151/dmps.1090