Nonparametric tests for ordered alternatives in the bivariate case

Richard A. Johnson; Kishan G. Mehrotra

doi:10.1016/0047-259X(72)90029-2

Nonparametric tests for ordered alternatives in the bivariate case

Richard A. Johnson, Kishan G. Mehrotra

Department of Electrical Engineering & Computer Science

Research output: Contribution to journal › Article › peer-review

6 Scopus citations

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 language	English (US)
Pages (from-to)	219-229
Number of pages	11
Journal	Journal of Multivariate Analysis
Volume	2
Issue number	2
DOIs	https://doi.org/10.1016/0047-259X(72)90029-2
State	Published - Jun 1972

Keywords

Multivariate
nonparametric tests
ordered alternatives

ASJC Scopus subject areas

Statistics and Probability
Numerical Analysis
Statistics, Probability and Uncertainty

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10.1016/0047-259X(72)90029-2

Cite this

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title = "Nonparametric tests for ordered alternatives in the bivariate case",

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.",

keywords = "Multivariate, nonparametric tests, ordered alternatives",

author = "Johnson, {Richard A.} and Mehrotra, {Kishan G.}",

note = "Funding Information: Received June 11, 1971; revised November 29, 1971. AMS 1970 subject classification: Primary 62H15; Secondary Key words and phrases: Multivariate; nonparametric tests; * This research was supported by the Air Force Office of Grant AFOSR-69-1789.",

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AU - Mehrotra, Kishan G.

N1 - Funding Information: Received June 11, 1971; revised November 29, 1971. AMS 1970 subject classification: Primary 62H15; Secondary Key words and phrases: Multivariate; nonparametric tests; * This research was supported by the Air Force Office of Grant AFOSR-69-1789.

PY - 1972/6

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N2 - 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.

AB - 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.

KW - Multivariate

KW - nonparametric tests

KW - ordered alternatives

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JO - Journal of Multivariate Analysis

JF - Journal of Multivariate Analysis

IS - 2

ER -

Nonparametric tests for ordered alternatives in the bivariate case

Abstract

Keywords

ASJC Scopus subject areas

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