%0 Journal Article %T Note on Rank-Biserial Correlation when There Are Ties %A José Moral de la Rubia %J Open Journal of Statistics %P 597-622 %@ 2161-7198 %D 2022 %I Scientific Research Publishing %R 10.4236/ojs.2022.125036 %X The objective of this article is to demonstrate with examples that the two-sided tie correction does not work well. This correction was developed by Cureton so that Kendall’s tau-type and Spearman’s rho-type formulas for rank-biserial correlation yield the same result when ties are present. However, a correction based on the bracket ties achieves the desired goal, which is demonstrated algebraically and checked with three examples. On the one hand, the 10-element random sample given by Cureton, in which the two-sided tie correction performs well, is taken up. On the other hand, two other examples are given, one with a 7-element random sample and the other with a clinical random sample of 31 participants, in which the two-sided tie correction does not work, but the new correction does. It is concluded that the new corrected formulas coincide with Goodman-Kruskal’s gamma as compared to Glass’ formula that matches Somers’ d_Y_|X or asymmetric measure of association of Y ranking with respect to X dichotomy. The use of this underreported coefficient is suggested, which is very easy to calculate from its equivalence with Kruskal-Wallis’ gamma and Somers’ d_Y_|X. %K Ordinal Variable %K Dichotomy %K Linear Association %K Nonparametric Statistics %K Descriptive Statistics %U http://www.scirp.org/journal/PaperInformation.aspx?PaperID=120366