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Rank-Biserial Correlation

Published online by Cambridge University Press:  01 January 2025

Edward E. Cureton
Edward E. Cureton*
Affiliation:
University of Tennessee
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Abstract

A formula is developed for the correlation between a ranking (possibly including ties) and a dichotomy, with limits which are always ±1. This formula is shown to be equivalent both to Kendall's τ and Spearman's ρ.

Keywords

Public PolicyStatistical Theory
Type
Original Paper
Information
Psychometrika , Volume 21 , Issue 3 , September 1956 , pp. 287 - 290
Copyright
Copyright © 1956 The Psychometric Society

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References

Durbin, J., Stuart, A.. Inversions and rank correlation coefficients. J. roy. statist. Soc., 1951, 13, 303–309CrossRefGoogle Scholar
Kendall, M. G.. Rank correlation methods, London: Charles Griffin and Co., 1948Google Scholar
Mann, H. B., Whitney, D. R.. On a test of whether one of two random variables is stochastically larger than the other. Ann. math. Statist., 1947, 18, 50–60CrossRefGoogle Scholar