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Permutation-based tests of perfect ranking


  • Zamanzade, Ehsan
  • Arghami, Nasser Reza
  • Vock, Michael


We improve three tests of perfect ranking in ranked set sampling proposed by Li and Balakrishnan (2008) using a permutation approach. This simple way of extending all three concepts to comparisons across different cycles increases the power. Two of the proposed tests are equivalent to tests from the literature, which were derived differently and are therefore generalized by the permutation-based tests.

Suggested Citation

  • Zamanzade, Ehsan & Arghami, Nasser Reza & Vock, Michael, 2012. "Permutation-based tests of perfect ranking," Statistics & Probability Letters, Elsevier, vol. 82(12), pages 2213-2220.
  • Handle: RePEc:eee:stapro:v:82:y:2012:i:12:p:2213-2220
    DOI: 10.1016/j.spl.2012.07.022

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    References listed on IDEAS

    1. Frey, Jesse & Ozturk, Omer & Deshpande, Jayant V., 2007. "Nonparametric Tests for Perfect Judgment Rankings," Journal of the American Statistical Association, American Statistical Association, vol. 102, pages 708-717, June.
    2. Al-Saleh, M. Fraiwan & Al-Kadiri, M. Ali, 2000. "Double-ranked set sampling," Statistics & Probability Letters, Elsevier, vol. 48(2), pages 205-212, June.
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    1. repec:eee:csdana:v:112:y:2017:i:c:p:257-269 is not listed on IDEAS
    2. Zamanzade, Ehsan & Vock, Michael, 2015. "Variance estimation in ranked set sampling using a concomitant variable," Statistics & Probability Letters, Elsevier, vol. 105(C), pages 1-5.


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