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A likelihood ratio like permutation test for one way designs

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  • Inga Samonenko
  • John Robinson

Abstract

We consider permutation tests based on a likelihood ratio like statistic for the one way or k sample design used in an example in Kolassa and Robinson [(2011), ‘Saddlepoint Approximations for Likelihood Ratio Like Statistics with Applications to Permutation Tests’, Annals of Statistics, 39, 3357–3368]. We give explicitly the region in which the statistic exists, obtaining results which permit calculation of the statistic on the boundary of this region. Numerical examples are given to illustrate improvement in the power of the tests compared to the classical statistics for long-tailed error distributions and no loss of power for normal error distributions.

Suggested Citation

  • Inga Samonenko & John Robinson, 2017. "A likelihood ratio like permutation test for one way designs," Journal of Nonparametric Statistics, Taylor & Francis Journals, vol. 29(3), pages 515-530, July.
  • Handle: RePEc:taf:gnstxx:v:29:y:2017:i:3:p:515-530
    DOI: 10.1080/10485252.2017.1324967
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    References listed on IDEAS

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    1. Jin, Rungao & Robinson, John, 1999. "Saddlepoint approximation near the endpoints of the support," Statistics & Probability Letters, Elsevier, vol. 45(4), pages 295-303, December.
    2. Osipov, L. V., 1981. "On large deviations for sums of random vectors in Rk," Journal of Multivariate Analysis, Elsevier, vol. 11(2), pages 115-126, June.
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