Nonparametric tests for ordered alternatives in the bivariate case

Richard A. Johnson, Kishan G. Mehrotra

Research output: Contribution to journalArticle

6 Citations (Scopus)

Abstract

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
Volume2
Issue number2
DOIs
StatePublished - 1972

Fingerprint

Ordered Alternatives
Non-parametric test
Test Theory
Two-sample Problem
Local Alternatives
Rank Test
Asymptotic Efficiency
Null Distribution
Testing
Asymptotic distribution
Equality
Analogue
Alternatives
Nonparametric test
Class

Keywords

  • Multivariate
  • nonparametric tests
  • ordered alternatives

ASJC Scopus subject areas

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

Cite this

Nonparametric tests for ordered alternatives in the bivariate case. / Johnson, Richard A.; Mehrotra, Kishan G.

In: Journal of Multivariate Analysis, Vol. 2, No. 2, 1972, p. 219-229.

Research output: Contribution to journalArticle

Johnson, Richard A. ; Mehrotra, Kishan G. / Nonparametric tests for ordered alternatives in the bivariate case. In: Journal of Multivariate Analysis. 1972 ; Vol. 2, No. 2. pp. 219-229.
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