effectsize (version 0.4.4-1)

d_to_common_language: Convert Standardized Mean Difference to Common Language Effect Sizes

Description

Convert Standardized Mean Difference to Common Language Effect Sizes

Usage

d_to_common_language(d)
convert_d_to_common_language(d)

Arguments

d

Standardized difference value (Cohen's d).

Value

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

Details

This function use the following formulae: $$Cohe{n}^{\prime }s{U}_3=\mathrm{\Phi }(d)$$

$$Overlap=2\times \mathrm{\Phi }(-|d|/2)$$

$$Pr(superiority)=\mathrm{\Phi }(d/\sqrt{2})$$

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<U+2013>30.

See Also

cohens_d()

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