mix_r_2group {psychmeta}

Estimate the mixture correlation for two groups

Description

Estimate the mixture correlation for two groups.

Usage

mix_r_2group(rxy, dx, dy, p = 0.5)

Arguments

rxy

Average within-group 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 average within-group correlation is estimated as:

\rho_{xy_{WG}}=\rho_{xy_{Mix}}\sqrt{\left(d_{x}^{2}p(1-p)+1\right)\left(d_{y}^{2}p(1-p)+1\right)}-\sqrt{d_{x}^{2}d_{y}^{2}p^{2}(1-p)^{2}}

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 two-group mixture correlations

Examples

mix_r_2group(rxy = .375, dx = 1, dy = 1, p = .5)