A Modification of Kendall's Tau for Measuring Association in Contingency Tables

A coefficient of association τ′ is described for a contingency table containing data classified into two sets of ordered categories. Within each of the two sets the number of categories or the number of cases in each category need not be the same. τ′ =+1 for perfect positive association and has an e...

Full description

Saved in:
Bibliographic Details
Published in:Psychometrika 1958-12, Vol.23 (4), p.379-383
Main Authors: Karon, Bertram P., Alexander, Irving E.
Format: Article
Language:English
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:A coefficient of association τ′ is described for a contingency table containing data classified into two sets of ordered categories. Within each of the two sets the number of categories or the number of cases in each category need not be the same. τ′ =+1 for perfect positive association and has an expectation of 0 for chance association. In many cases τ′ also has a -1 as a lower limit. The limitations of Kendall&s τ′ a and τ′ b and Stuart&s τ′ c are discussed, as is the identity of these coefficients to τ′ under certain conditions. Computational procedure for τ′ is given.
ISSN:0033-3123
1860-0980
DOI:10.1007/BF02289786