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Goodman and Kruskal's TAU-B Statistic

A Nonasymptotic Test of Significance

Bibliographic Data

ID2331546
AuthorsKenneth J Berry (Colorado State University), Paul W Mielke (Colorado State University)
Year1985
Volume13
Issue4
Pages543-550
Publication date1985-05-01
Open AccessYes
TypeARTICLE
VenueSociological Methods & Research (JOURNAL)
Journal identifiersISSN: 0049-1241 • E-ISSN: 1552-8294
PublisherSAGE Publications Inc (PUBLISHER)
DOI10.1177/0049124185013004005
OpenAlexW1999172259
LanguageEN
Citations received6
References cited14

Goodman and Kruskal's Tb statistic is frequently employed by sociologists to measure association among categorical polytomies. The test of the null hypothesis Tb = 0 is presently limited to an asymptotic approximation that fails to adjust for unbalanced marginals, yielding inaccurate probability values. This article details a nonasymptotic test of significance that adjusts for unbalanced marginals

Categorical variable · Combinatorics · Data mining · Econometrics · Kruskal–Wallis one-way analysis of variance · Kruskal's algorithm · Mann–Whitney U test · Null (SQL) · Null hypothesis · Statistic · Statistical hypothesis testing · Statistics · Test statistic · Cognitive Science and Mapping · Computer Science · Mathematics · Qualitative Comparative Analysis Research

  • Comparing partitions

    Open Access•Lawrence J Hubert, Lawrence Hubert et al.•Journal of Classification•1985

  • An Asymmetric Test of Homogeneity of Proportions

    Open Access•Kenneth J Berry, Paul W Mielke•Psychological Reports•2000

  • Permutation Analysis of Data with Multiple Binary Category Choices

    Open Access•Kenneth J Berry, Paul W Mielke•Psychological Reports•2003

  • An Asymmetric Test of Homogeneity of Proportions

    Kenneth J Berry•Psychological Reports•2000

  • Goodman and Kruskal's TAU-B Statistic

    Open Access•Kenneth J Berry, Paul W Mielke•Educational and Psychological…•1986

  • A Family of Multivariate Measures of Association for Nominal Independent Variables

    Open Access•Kenneth J Berry, Paul W Mielke•Educational and Psychological…•1992

  • Criteria for Measures of Association

    Herbert L Costner•American Sociological Review•1965

  • On the Validity of Measures of Association

    A A Hunter, Mary Ann Hunter•American Journal of Sociology•1973

Citations per year0.15
Citation span1985 - 2003 (19)
Highly citedNo

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