Selective generalized F tests

C. Nunes; J. T. Mexia

Discussiones Mathematicae Probability and Statistics (2004)

  • Volume: 24, Issue: 2, page 281-288
  • ISSN: 1509-9423

Abstract

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Generalized F tests were introduced by Michalski and Zmyślony (1996) for variance components and later (1999) for linear functions of parameters in mixed linear models. We now use generalized polar coordinates to obtain, for the second case, tests that are more powerful for selected families of alternatives.

How to cite

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C. Nunes, and J. T. Mexia. "Selective generalized F tests." Discussiones Mathematicae Probability and Statistics 24.2 (2004): 281-288. <http://eudml.org/doc/287618>.

@article{C2004,
abstract = {Generalized F tests were introduced by Michalski and Zmyślony (1996) for variance components and later (1999) for linear functions of parameters in mixed linear models. We now use generalized polar coordinates to obtain, for the second case, tests that are more powerful for selected families of alternatives.},
author = {C. Nunes, J. T. Mexia},
journal = {Discussiones Mathematicae Probability and Statistics},
keywords = {mixed linear models; variance components; generalized polar coordinates; selective F testes; selective F tests},
language = {eng},
number = {2},
pages = {281-288},
title = {Selective generalized F tests},
url = {http://eudml.org/doc/287618},
volume = {24},
year = {2004},
}

TY - JOUR
AU - C. Nunes
AU - J. T. Mexia
TI - Selective generalized F tests
JO - Discussiones Mathematicae Probability and Statistics
PY - 2004
VL - 24
IS - 2
SP - 281
EP - 288
AB - Generalized F tests were introduced by Michalski and Zmyślony (1996) for variance components and later (1999) for linear functions of parameters in mixed linear models. We now use generalized polar coordinates to obtain, for the second case, tests that are more powerful for selected families of alternatives.
LA - eng
KW - mixed linear models; variance components; generalized polar coordinates; selective F testes; selective F tests
UR - http://eudml.org/doc/287618
ER -

References

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  1. [1] A. Michalski and R. Zmyślony, Testing hypothesis for variance components in mixed linear models, Statistics 27 (1996), 297-310. Zbl0842.62059
  2. [2] 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
  3. [3] C. Nunes and J.T. Mexia, Selective F tests for sub-normal models, Discussiones Mathematicae, Probability and Statistics 23 (2003), 167-174. Zbl1049.62066
  4. [4] G. Dias, Selective F tests, Trabalhos de Investigação No 1, FCT/UNL (1994). 
  5. [5] M. Fonseca, J.T. Mexia and R. Zmyślony, Exact distribution for the generalized F tests, Discussiones Mathematicae, Probability and Statistics (1,2) 22 (2002), 37-51. Zbl1037.62004
  6. [6] M.G. Kendall, A Ccourse in the Geometry of n Dimensions, Charles Griffin & Company Limited, London 1961. 

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