An Extension of Kendall's Concordance Test Where Ties Are Allowed

Abstract

Kendall's measure of concordance and associated probability tables establishes critical regions for testing the null hypothesis of random rankings of M items by N judges. The M items are ranked according to an agreed upon criterion, such as beauty and cost effectiveness, or to the efficacy of a compression scheme, which was the basis for this Research Note. The concordance probability values are approximated by the F-distribution and the tests require that each judge produce a valid ranking of the M item, i.e. ties among the items are not allowed. The purpose of this work was to develop exact probability tables for a limited number of values of the parameters N and M where, in fact, ties were allowed.

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Document Details

Document Type
Technical Report
Publication Date
Feb 01, 1983
Accession Number
ADA128401

Entities

People

  • Jean M. Benson
  • Michael A. Crombie

Organizations

  • Geospatial Research Laboratory

Tags

Communities of Interest

  • C4I

DTIC Thesaurus Topics

  • Chi Square Test
  • Cost Effectiveness
  • Costs
  • Data Science
  • Distribution Functions
  • Engineers
  • Information Processing
  • Information Science
  • Monte Carlo Method
  • Multivariate Analysis
  • Normal Distribution
  • Probability
  • Probability Distributions
  • Random Variables
  • Statistical Sampling
  • Statistical Tests
  • Statistics

Fields of Study

  • Mathematics

Readers

  • Regression Analysis.