The rank transform in the two-sample location problem

R. Nath, B. S. Duran

Research output: Contribution to journalArticlepeer-review

8 Scopus citations


In the two-sample location problem, if the t-statistic is computed as a function of the ranks of the observations rather than the observations themselves, the resulting statistic, TR, is a function of the Wilcoxon statistic. It is shown here that TR has approximately a t-distribution. The ARE of the TR -test is identical to that of the Wilcoxon test. A Monte Carlo study reveals that the TR-test is more robust, with regard to the significance level, than the t-test.

Original languageEnglish (US)
Pages (from-to)383-394
Number of pages12
JournalCommunications in Statistics - Simulation and Computation
Issue number4
StatePublished - Jan 1 1981
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Statistics and Probability
  • Modeling and Simulation


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