psychmeta (version 0.2.4)

mix_r_2group: 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.

Value

A vector of two-group mixture correlationa

Details

The average within-group correlation is estimated as:

$${\rho }_{x{y}_{WG}}={\rho }_{x{y}_{Mix}}\sqrt{(d_x^{2}p(1-p)+1)(d_y^{2}p(1-p)+1)}-\sqrt{d_x^2{d}_y^2{p}^2(1-p{)}^2}$$

where ${\rho }_{x{y}_{WG}}$ is the average within-group correlation, ${\rho }_{x{y}_{Mix}}$ 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.

Examples

# NOT RUN {
mix_r_2group(rxy = .375, dx = 1, dy = 1, p = .5)
# }