F and selective F tests with balanced cross-nesting and associated models
Célia Nunes ; Iola Pinto ; João Tiago Mexia
Discussiones Mathematicae Probability and Statistics, Tome 26 (2006), p. 193-205 / Harvested from The Polish Digital Mathematics Library

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.

Publié le : 2006-01-01
EUDML-ID : urn:eudml:doc:277075
@article{bwmeta1.element.bwnjournal-article-doi-10_7151_dmps_1082,
     author = {C\'elia Nunes and Iola Pinto and Jo\~ao Tiago Mexia},
     title = {F and selective F tests with balanced cross-nesting and associated models},
     journal = {Discussiones Mathematicae Probability and Statistics},
     volume = {26},
     year = {2006},
     pages = {193-205},
     zbl = {1128.62080},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_7151_dmps_1082}
}
Célia Nunes; Iola Pinto; João Tiago Mexia. F and selective F tests with balanced cross-nesting and associated models. Discussiones Mathematicae Probability and Statistics, Tome 26 (2006) pp. 193-205. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_7151_dmps_1082/

[000] [1] G. Dias, Selective F tests, Trabalhos de Investigação, N°1, FCT/UNL 1994. | Zbl 0834.62050

[001] [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. | Zbl 1049.62065

[002] [3] A. Michalski and R. Zmyślony, Testing hypothesis for variance components in mixed linear models, Statistics 27 (1996), 297-310. | Zbl 0842.62059

[003] [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. | Zbl 0987.62012

[004] [5] J.T. Mexia, Introdução à Inferência Estatística Linear, Centro de Estudos de Matemática Aplicada, Edições Lusofonas 1995.

[005] [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).

[006] [7] C. Nunes and J.T. Mexia, Selective F tests for sub-normal models, Discussiones Mathematicae, Probability and Statistics 23 (2003), 167-174. | Zbl 1049.62066