Ordered inference, rank statistics and combining p-values: A new perspective

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A family of simple two sample rank tests for testing for stochastic order is introduced. The proposed tests are motivated by the stochastic ordering of the ranks and methods for combining p-values which capitalize on this ordering. We show that the new tests coincide with some well known rank tests. Their large sample distributions are derived under various assumptions on the sample sizes. Some optimality properties are discussed. Simulations show that the new tests perform well, often better than specialized tests designed for testing for order among two populations.

Original languageEnglish
Pages (from-to)456-465
Number of pages10
JournalStatistical Methodology
Issue number3
StatePublished - May 2012

Bibliographical note

Funding Information:
This research was partially supported by the Israeli Science Foundation Grant No. 875/09 . We would like to thank Shyamal Peddada (NIEHS) for several useful comments that improved the presentation.


  • Combining p-values
  • Rank tests
  • Stochastic order relations

ASJC Scopus subject areas

  • Statistics and Probability


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