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A Parametric Test of Perfect Ranking in Balanced Ranked Set Sampling

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  • Ehsan Zamanzade
  • Nasser Reza Arghami
  • Michael Vock

Abstract

Many techniques based on data which are drawn by Ranked Set Sampling (RSS) scheme assume that the ranking of observations is perfect. Therefore it is essential to develop some methods for testing this assumption. In this article, we propose a parametric location-scale free test for assessing the assumption of perfect ranking. The results of a simulation study in two special cases of normal and exponential distributions indicate that the proposed test performs well in comparison with its leading competitors.

Suggested Citation

  • Ehsan Zamanzade & Nasser Reza Arghami & Michael Vock, 2014. "A Parametric Test of Perfect Ranking in Balanced Ranked Set Sampling," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 43(21), pages 4589-4611, November.
    • Handle: RePEc:taf:lstaxx:v:43:y:2014:i:21:p:4589-4611
    DOI: 10.1080/03610926.2012.737495
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    Cited by:

    1. Ehsan Zamanzade & Michael Vock, 2018. "Some nonparametric tests of perfect judgment ranking for judgment post stratification," Statistical Papers, Springer, vol. 59(3), pages 1085-1100, September.
    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.
    3. Zamanzade, Elham & Parvardeh, Afshin & Asadi, Majid, 2019. "Estimation of mean residual life based on ranked set sampling," Computational Statistics & Data Analysis, Elsevier, vol. 135(C), pages 35-55.
    4. Saeid Amiri & Reza Modarres & Silvelyn Zwanzig, 2017. "Tests of perfect judgment ranking using pseudo-samples," Computational Statistics, Springer, vol. 32(4), pages 1309-1322, December.

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