Convert Standardized Mean Difference to Common Language Effect Sizes
d_to_common_language(d)Standardized difference value (Cohen's d).
A list of Cohen's U3, Overlap, Probability of superiority.
This function use the following formulae: $$Cohen's U_3 = \Phi(d)$$
$$Overlap = 2 \times \Phi(-|d|/2)$$
$$Pr(superiority) = \Phi(d/\sqrt{2})$$
Cohen, J. (1977). Statistical power analysis for the behavioral sciences. New York: Routledge.
Reiser, B., & Faraggi, D. (1999). Confidence intervals for the overlapping coefficient: the normal equal variance case. Journal of the Royal Statistical Society, 48(3), 413-418.
Ruscio, J. (2008). A probability-based measure of effect size: robustness to base rates and other factors. Psychological methods, 13(1), 19<U+2013>30.
Other convert between effect sizes:
d_to_r(),
eta2_to_f2(),
odds_to_probs(),
oddsratio_to_riskratio()