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

Célia Nunes; Iola Pinto; João Tiago Mexia

Discussiones Mathematicae Probability and Statistics (2006)

- Volume: 26, Issue: 2, page 193-205
- ISSN: 1509-9423

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topCélia Nunes, Iola Pinto, and João Tiago Mexia. "F and selective F tests with balanced cross-nesting and associated models." Discussiones Mathematicae Probability and Statistics 26.2 (2006): 193-205. <http://eudml.org/doc/277075>.

@article{CéliaNunes2006,

abstract = {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.},

author = {Célia Nunes, Iola Pinto, João Tiago Mexia},

journal = {Discussiones Mathematicae Probability and Statistics},

keywords = {selective F tests; associated models; cross-nesting},

language = {eng},

number = {2},

pages = {193-205},

title = {F and selective F tests with balanced cross-nesting and associated models},

url = {http://eudml.org/doc/277075},

volume = {26},

year = {2006},

}

TY - JOUR

AU - Célia Nunes

AU - Iola Pinto

AU - João Tiago Mexia

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

JO - Discussiones Mathematicae Probability and Statistics

PY - 2006

VL - 26

IS - 2

SP - 193

EP - 205

AB - 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.

LA - eng

KW - selective F tests; associated models; cross-nesting

UR - http://eudml.org/doc/277075

ER -

## References

top- [1] G. Dias, Selective F tests, Trabalhos de Investigação, N°1, FCT/UNL 1994. Zbl0834.62050
- [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. Zbl1049.62065
- [3] A. Michalski and R. Zmyślony, Testing hypothesis for variance components in mixed linear models, Statistics 27 (1996), 297-310. Zbl0842.62059
- [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. Zbl0987.62012
- [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. Zbl1049.62066

## Citations in EuDML Documents

top- Célia Nunes, Iola Pinto, João Tiago Mexia, Generalized F tests and selective generalized F tests for orthogonal and associated mixed models
- Célia Maria Pinto Nunes, Sandra Maria Bargão Saraiva Ferreira, Dário Jorge da Conceição Ferreira, Generalized F tests in models with random perturbations: the gamma case

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