unmix_r_2group {psychmeta} | R Documentation |
Estimate the average within-group correlation from a mixture correlation for two groups
Description
Estimate the average within-group correlation from a mixture correlation for two groups.
Usage
unmix_r_2group(rxy, dx, dy, p = 0.5)
Arguments
rxy |
Overall mixture correlation. |
dx |
Standardized mean difference between groups on X. |
dy |
Standardized mean difference between groups on Y. |
p |
Proportion of cases in one of the two groups. |
Details
The mixture correlation for two groups is estimated as:
r_{xy_{Mix}}\frac{\rho_{xy_{WG}}+\sqrt{d_{x}^{2}d_{y}^{2}p^{2}(1-p)^{2}}}{\sqrt{\left(d_{x}^{2}p(1-p)+1\right)\left(d_{y}^{2}p(1-p)+1\right)}}
where \rho_{xy_{WG}}
is the average within-group correlation, \rho_{xy_{Mix}}
is the overall mixture correlation,
d_{x}
is the standardized mean difference between groups on X, d_{y}
is the standardized mean difference between groups on Y, and
p is the proportion of cases in one of the two groups.
Value
A vector of average within-group correlations
References
Oswald, F. L., Converse, P. D., & Putka, D. J. (2014). Generating race, gender and other subgroup data in personnel selection simulations: A pervasive issue with a simple solution. International Journal of Selection and Assessment, 22(3), 310-320.
Examples
unmix_r_2group(rxy = .5, dx = 1, dy = 1, p = .5)