title: A measure of effect size for r x c contingency tables.
abstract: Goodman and Kruskal's tau measure of categorical association is advanced as a replacement for conventional measures of effect size for r x c contingency tables. Goodman and Kruskal's tau is an asymmetric measure of categorical association which is based entirely on the observed data and possesses a clear interpretation in terms of proportional reduction in error. Comparisons with conventional measures of effect size based on chi-squared such as Pearson's phi2, Tschuprow's T2, and Cramer's V2 demonstrate the advantages of employing tau as a measure of effect size.
authors.affiliation: Department of Sociology, Colorado State University, Fort Collins, CO 80523-1784, USA. berry@lamar.colostate.edu
authors.forename: Kenneth J
authors.initials: KJ
authors.lastname: Berry
authors.forename: Janis E
authors.initials: JE
authors.lastname: Johnston
authors.forename: Paul W
authors.initials: PW
authors.lastname: Mielke
mesh_terms: D006801:Humans; D008960:Models, Psychological; D011584:Psychology / Q000706:statistics & numerical data*