The paper describes a nonparametric analog of Cohen's d, Q. It is established that a confidence interval for Q can be computed via a method for computing a confidence interval for the median of D = X1 − X2, which in turn is related to making inferences about P(X1 < X2).
Wilcox, R. (2018). A robust nonparametric measure of effect size based on an analog of Cohen's d, plus inferences about the median of the typical difference. Journal of Modern Applied Statistical Methods, 17(2), eP2726. doi: 10.22237/jmasm/1551905677