Application of RSS design with rank-sum precedence tests for early decision on equality of two distributions

N. Balakrishnan, Tao Li, Jiawei Zhang

Research output: Contribution to journalArticlepeer-review


In this article, we utilize Wilcoxon's rank-sum statistic into the precedence test based on ranked set sample (RSS) and propose three different statistics for testing the equality of two distributions. The exact null distributions of the proposed test statistics are derived, critical values are tabulated for set size up to 8, and number of RSS cycles up to 9. The exact power functions of the proposed test statistics under the Lehmann alternative are derived. Then, the power values of these tests and some of their competitors are compared exactly under the Lehmann alternative and also through Monte Carlo simulations under a location-shift alternative. Finally, a real data is conducted to illustrate the proposed test statistics.

Original languageEnglish
Pages (from-to)667-693
Number of pages27
JournalJournal of Statistical Computation and Simulation
Issue number4
StatePublished - 2021

Bibliographical note

Publisher Copyright:
© 2020 Informa UK Limited, trading as Taylor & Francis Group.


  • Lehmann alternative
  • Ranked set sample
  • Wilcoxon Rank-Sum
  • location-shift
  • precedence test

ASJC Scopus subject areas

  • Statistics and Probability
  • Modeling and Simulation
  • Statistics, Probability and Uncertainty
  • Applied Mathematics


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