diff_to_cles: Convert Standardized Differences to Common Language Effect...

diff_to_clesR Documentation

Convert Standardized Differences to Common Language Effect Sizes

Description

Convert Standardized Differences to Common Language Effect Sizes

Usage

d_to_p_superiority(d)

rb_to_p_superiority(rb)

rb_to_vda(rb)

d_to_u2(d)

d_to_u1(d)

d_to_u3(d)

d_to_overlap(d)

rb_to_wmw_odds(rb)

Arguments

d, rb

A numeric vector of Cohen's d / rank-biserial correlation or the output from cohens_d() / rank_biserial().

Details

This function use the following formulae for Cohen's d:

Pr(superiority) = pnorm(d / sqrt(2))


U3 = pnorm(d)


U2 = pnorm(abs(d)/2)


U1 = (2 * U2 - 1) / U2


Overlap = 2 * pnorm(-abs(d) / 2)


And the following for the rank-biserial correlation:

Pr(superiority) = (rb + 1)/2


WMW_{Odds} = Pr(superiority) / (1 - Pr(superiority))

Value

A list of Cohen's U3, Overlap, Pr(superiority), a numeric vector of Pr(superiority), or a data frame, depending on the input.

Note

For d, these calculations assume that the populations have equal variance and are normally distributed.

Vargha and Delaney's A is an alias for the non-parametric probability of superiority.

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_u3() for descriptions of the effect sizes (also, cohens_d(), rank_biserial()).

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


effectsize documentation built on Oct. 31, 2022, 5:06 p.m.