Some remarks on permutation type tests in linear models

Marie Husková; Jan Picek

Discussiones Mathematicae Probability and Statistics (2004)

  • Volume: 24, Issue: 2, page 151-181
  • ISSN: 1509-9423

Abstract

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The paper discusses applications of permutation arguments in testing problems in linear models. Particular attention will be paid to the application in L₁-test procedures. Theoretical results will beaccompanied by a simulation study.

How to cite

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Marie Husková, and Jan Picek. "Some remarks on permutation type tests in linear models." Discussiones Mathematicae Probability and Statistics 24.2 (2004): 151-181. <http://eudml.org/doc/287697>.

@article{MarieHusková2004,
abstract = {The paper discusses applications of permutation arguments in testing problems in linear models. Particular attention will be paid to the application in L₁-test procedures. Theoretical results will beaccompanied by a simulation study.},
author = {Marie Husková, Jan Picek},
journal = {Discussiones Mathematicae Probability and Statistics},
keywords = {hypotheses testing; linear regression models; L₁- and L₂ - procedures},
language = {eng},
number = {2},
pages = {151-181},
title = {Some remarks on permutation type tests in linear models},
url = {http://eudml.org/doc/287697},
volume = {24},
year = {2004},
}

TY - JOUR
AU - Marie Husková
AU - Jan Picek
TI - Some remarks on permutation type tests in linear models
JO - Discussiones Mathematicae Probability and Statistics
PY - 2004
VL - 24
IS - 2
SP - 151
EP - 181
AB - The paper discusses applications of permutation arguments in testing problems in linear models. Particular attention will be paid to the application in L₁-test procedures. Theoretical results will beaccompanied by a simulation study.
LA - eng
KW - hypotheses testing; linear regression models; L₁- and L₂ - procedures
UR - http://eudml.org/doc/287697
ER -

References

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  11. [11] M. Husková and J. Picek, M-tests for detection of structural changes in regression, Statistical Data Analysis Based on the L₁-Norm and RelatedMethods, ed. Y. Dodge, Birhäuser, Basel (2002), 213-229. Zbl1145.62330
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  14. [14] E.L. Lehmann, Theory of Point Estimation, Wadworth & Brooks/Cole, California 1991. Zbl0801.62025
  15. [15] B.F.J. Manly, Randomization and Monte-Carlo Methods in Biology, London: Chapman and Hall 1991. Zbl0726.92001
  16. [16] D.N. Politis, J.P. Romano and M. Wolf, Subsampling, Springer Verlag, New York 1999. 
  17. [17] C.J.F. ter Braak, Permutations versus bootstrap significance in multiple regression and ANOVA, Bootstrapping and Related Techniques, eds. K.H. Jockel, G. Rotheand W. Sendler, Berlin-Springer-Verlag (1992), 79-86. 
  18. [18] Shao Jun and Tu Dongsheng, The Jackknife and Bootstrap, Springer Verlag, New York 1995. Zbl0947.62501
  19. [19] W.J. Welsh, Construction of permutation tests, Journal of the AmericanStatistical Association 85 (1990), 693-689. 

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