A NONPARAMETRIC TEST FOR BIVARIATE SYMMETRY.

Abstract

The paper introduces a conditionally distribution-free test of bivariate symmetry based on the sample distribution function. The test is shown to be consistent against a wide class of alternatives. In particular, if the underlying bivariate distribution is absolutely continuous, then the test is consistent against all alternatives to the null hypothesis. Power comparisons of the conditional test, a normal theory test devised by Bell and Haller, and the Wilcoxon signed rank test, are given for bivariate normal and bivariate exponential populations. (Author)

Document Details

Document Type
Technical Report
Publication Date
Sep 01, 1970
Accession Number
AD0712026

Entities

People

  • Myles Hollander

Organizations

  • Florida State University

Tags

DTIC Thesaurus Topics

  • Computing-Related Activities
  • Data Science
  • Distribution Functions
  • Information Science
  • Interdisciplinary Science
  • Mathematics
  • Nonparametric Statistics
  • Statistical Analysis
  • Statistics
  • Symmetry
  • Test And Evaluation

Fields of Study

  • Mathematics

Readers

  • Statistical inference.