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KENDALL'S TAU AND CONTINGENCY TABLES
Author(s) -
Brown B.M.
Publication year - 1988
Publication title -
australian journal of statistics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.434
H-Index - 41
eISSN - 1467-842X
pISSN - 0004-9581
DOI - 10.1111/j.1467-842x.1988.tb00622.x
Subject(s) - contingency table , concordance , contingency , mathematics , statistics , sample (material) , distribution (mathematics) , econometrics , test (biology) , epistemology , mathematical analysis , physics , philosophy , geology , medicine , thermodynamics , paleontology
Summary Kendall's tau is a coefficient of concordance between two rankings of n objects. Its definition and large sample normal approximation are easily extended to the case where one of the rankings contains ties. In this paper, definition and normal approximation are extended further to the case where both rankings contain ties. The results are applied to give a fully distribution‐free test for two‐way contingency tables with ordered categories.