Nonparametric tests for ordered alternatives in the bivariate case

Richard A. Johnson, Kishan G. Mehrotra

Research output: Contribution to journalArticlepeer-review

6 Scopus citations


A class of bivariate rank tests are developed for the two-sample problem of testing equality of distributions against certain one-sided alternatives. These tests are the nonparametric analogs of a normal theory test proposed by Schaafsma and Smid. These tests are shown to be unbiased and the asymptotic distributions are obtained under the null distribution and local alternatives. Some asymptotic efficiency comparisons are also made.

Original languageEnglish (US)
Pages (from-to)219-229
Number of pages11
JournalJournal of Multivariate Analysis
Issue number2
StatePublished - Jun 1972


  • Multivariate
  • nonparametric tests
  • ordered alternatives

ASJC Scopus subject areas

  • Statistics and Probability
  • Numerical Analysis
  • Statistics, Probability and Uncertainty


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