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

Abstract

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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.

How to cite

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Célia 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

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  1. [1] G. Dias, Selective F tests, Trabalhos de Investigação, N°1, FCT/UNL 1994. Zbl0834.62050
  2. [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. [3] A. Michalski and R. Zmyślony, Testing hypothesis for variance components in mixed linear models, Statistics 27 (1996), 297-310. Zbl0842.62059
  4. [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. [5] J.T. Mexia, Introdução à Inferência Estatística Linear, Centro de Estudos de Matemática Aplicada, Edições Lusofonas 1995. 
  6. [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. [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

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