effectsize: d_to_r – R documentation

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d_to_r

Convert between d, r and Odds ratio

Description

Enables a conversion between different indices of effect size, such as standardized difference (Cohen's d), correlation r or (log) odds ratios.

Usage

d_to_r(d, ...)

r_to_d(r, ...)

convert_d_to_r(d, ...)

convert_r_to_d(r, ...)

oddsratio_to_d(OR, log = FALSE, ...)

convert_oddsratio_to_d(OR, log = FALSE, ...)

logoddsratio_to_d(OR, log = TRUE, ...)

d_to_oddsratio(d, log = FALSE, ...)

convert_d_to_oddsratio(d, log = FALSE, ...)

oddsratio_to_r(OR, log = FALSE, ...)

convert_oddsratio_to_r(OR, log = FALSE, ...)

logoddsratio_to_r(OR, log = TRUE, ...)

r_to_oddsratio(r, log = FALSE, ...)

convert_r_to_oddsratio(r, log = FALSE, ...)

Arguments

`d`	Standardized difference value (Cohen's d).
`...`	Arguments passed to or from other methods.
`r`	Correlation coefficient r.
`OR`	Odds ratio values in vector or data frame.
`log`	Take in or output the log of the ratio (such as in logistic models).

Details

Conversions between OR and r is done through these formulae.

d to r: d = \frac{2 * r}{√{1 - r^2}}
r to d: r = \frac{d}{√{d^2 + 4}}
OR to d: d = \frac{\log(OR)\times√{3}}{π}
d to OR: log(OR) = d * \frac{π}{√(3)}

The conversion from d to r assumes equally sized groups. The resulting r is also called the binomial effect size display (BESD; Rosenthal et al., 1982).

Value

Converted index.

References

Sánchez-Meca, J., Marín-Martínez, F., & Chacón-Moscoso, S. (2003). Effect-size indices for dichotomized outcomes in meta-analysis. Psychological methods, 8(4), 448.
Borenstein, M., Hedges, L. V., Higgins, J. P. T., & Rothstein, H. R. (2009). Converting among effect sizes. Introduction to meta-analysis, 45-49.
Rosenthal, R., & Rubin, D. B. (1982). A simple, general purpose display of magnitude of experimental effect. Journal of educational psychology, 74(2),

Examples

r_to_d(0.5)
d_to_oddsratio(1.154701)
oddsratio_to_r(8.120534)

d_to_r(1)
r_to_oddsratio(0.4472136, log = TRUE)
oddsratio_to_d(1.813799, log = TRUE)

effectsize

Indices of Effect Size and Standardized Parameters

v0.4.4-1

GPL-3

Authors

Mattan S. Ben-Shachar [aut, cre] (<https://orcid.org/0000-0002-4287-4801>), Dominique Makowski [aut] (<https://orcid.org/0000-0001-5375-9967>), Daniel Lüdecke [aut] (<https://orcid.org/0000-0002-8895-3206>), Indrajeet Patil [ctb] (<https://orcid.org/0000-0003-1995-6531>, @patilindrajeets), Ken Kelley [ctb], David Stanley [ctb]

Initial release