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References (11)
-
J. Robinson (1982)
Saddlepoint Approximations for Permutation Tests and Confidence IntervalsJournal of the royal statistical society series b-methodological, 44
-
Zhishui Hu, J. Robinson, Qiying Wang (2012)
Tail approximations for samples from a finite population with applications to permutation testsEsaim: Probability and Statistics, 16
-
P. Erdos, Alfréd Nyi (2004)
ON THE CENTRAL LIMIT THEOREM FOR SAMPLES FROM A FINITE POPULATION -
(1992)
The Bootstrap and Edgeworth Expansion. Series in Statistics -
(1980)
Saddlepoint approximation for the distribution of the sum of independent random variables -
J. Robinson, T. Hoglund, L. Holst, M. Quine (1990)
On Approximating Probabilities for Small and Large Deviations in $\mathbb{R}^d$Annals of Probability, 18
-
J. Kolassa, J. Robinson (2011)
Saddlepoint approximations for likelihood ratio like statistics with applications to permutation testsAnnals of Statistics, 39
-
R. Lugannani, S. Rice (1980)
Saddle point approximation for the distribution of the sum of independent random variablesAdvances in Applied Probability, 12
-
O. Barndorff-Nielsen (1991)
Modified signed log likelihood ratioBiometrika, 78
-
(1990)
On approximating probabilities for small and large deviations on rd -
E. Mammen (1997)
The Bootstrap and Edgeworth Expansion
- Publisher
- Wiley
- Copyright
- Copyright © 2018 Australian Statistical Publishing Association Inc.
- ISSN
- 1369-1473
- eISSN
- 1467-842X
- DOI
- 10.1111/anzs.12188
- Publisher site
- See Article on Publisher Site
Abstract
We consider permutation tests based on a likelihood ratio like statistic for the one way or k‐sample design where the observations are l‐dimensional vectors. This generalizes both the univariate k‐sample case and the two sample multivariate case used in the examples of Kolassa and Robinson. We also give a saddlepoint approximation for the permutation test. Numerical examples are given to illustrate the accuracy of the saddlepoint approximation and the improvement in the power of the tests compared to the classical statistics in the case of long tailed error distributions and no loss of power for normal error distributions.
Journal
Australian & New Zealand Journal of Statistics – Wiley
Published: Jan 1, 2018
Keywords: ;