F and selective F tests with balanced cross-nesting and associated models

• Autorzy: Célia Nunes , Iola Pinto , João Tiago Mexia
• Języki publikacji: EN

Abstrakty

EN

F tests and selective F tests for fixed effects part of balanced models with cross-nesting are derived. The effects of perturbations in the numerator and denominator of the F statistics are considered.

Słowa kluczowe

EN

selective F tests; associated models; cross-nesting

Kategorie tematyczne

• 62J99: None of the above, but in this section
• 62J12: Generalized linear models
• 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: 193-205

Daty

wydano

2006

otrzymano

2006-09-26

Twórcy

autor

Célia Nunes

• Departamento de Matemática, Universidade da Beira Interior, 6200 Covilhã, Portugal

autor

Iola Pinto

• Instituto Superior de Engenharia de Lisboa

autor

João Tiago Mexia

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

Bibliografia

• [1] G. Dias, Selective F tests, Trabalhos de Investigação, N°1, FCT/UNL 1994.
• [2] M. Fonseca, J.T. Mexia and R. Zmyślony, Estimators and Tests for Variance Components in Cross Nested Orthogonal Designs, Discussions Mathematicae-Probability and Statistics 23 (2003), 175-201.
• [3] A. Michalski and R. Zmyślony, Testing hypothesis for variance components in mixed linear models, Statistics 27 (1996), 297-310.
• [4] A. Michalski and R. Zmyślony, Testing hypothesis for linear functions of parameters in mixed linear models, Tatra Mountain Mathematical Publications 17 (1999), 103-110.
• [5] J.T. Mexia, Introdução à Inferência Estatística Linear, Centro de Estudos de Matemática Aplicada, Edições Lusofonas 1995.
• [6] C. Nunes and J.T. Mexia, Perturbations in Sub-normal Models, In Statistical Modelling- Proceedings of the 15th International Workshop on Statistical Modelling (V. Núñez-Antón, E. Ferreira, eds.), p. 485-488, Bilbao, Spain, July 17-21 (2000).
• [7] C. Nunes and J.T. Mexia, Selective F tests for sub-normal models, Discussiones Mathematicae, Probability and Statistics 23 (2003), 167-174.

Identyfikatory

DOI

10.7151/dmps.1082