The Asymptotic Efficiency Of The Kruskal-Wallis Test And The Median Test In Contingency Tables With Ordered Categories

G. R. Hobbs, W. J. Conover

Research output: Contribution to journalArticlepeer-review

2 Scopus citations

Abstract

In a contingency table one classification often corresponds to samples from different populations and the other classification to ordered categories, Methods for analyzing data of this type may he compared using recent extensions in the theory of rank tests by Conover (1973) and Vorlickova (1970) to non-continuous distributions, In this paper the Kruskal-Wallis Test and the Median Test are compared in those situations where the data are given in a contingency table with ordered categories, and where one test or the other is optimal. Some comparisons with the Pearson chi-square statistic are given.

Original languageEnglish
Pages (from-to)1131-1138
Number of pages8
JournalCommunications in Statistics
Volume3
Issue number12
DOIs
StatePublished - Jan 1 1974

Keywords

  • Kruskal-Wallis test
  • asymptotic efficiency
  • contingency tables
  • median test
  • nonparametric statistics
  • rank tests

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