Description

Convert Standardized Mean Difference to Common Language Effect Sizes

Usage

Arguments

Details

This function use the following formulae:

Cohen's U_3 = Φ(d)

Overlap = 2 \times Φ(-|d|/2)

Pr(superiority) = Φ(d/√{2})

Value

A list of Cohen's U3, Overlap, Probability of superiority.

Note

These calculations assume that the populations have equal variance and are normally distributed.

References

• 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), 19–30.

See Also

cohens_d()

Other convert between effect sizes: d_to_r(), eta2_to_f2(), odds_to_probs(), oddsratio_to_riskratio()