mix_r_2group: Estimate the mixture correlation for two groups

In psychmeta: Psychometric Meta-Analysis Toolkit

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:

r_wg = r_mix * sqrt((dx^2 * p * (1 - p) + 1) * (dy^2 * p * (1 - p) + 1)) - sqrt(dx^2 * dy^2 * p^2 * (1 - p)^2)

where r_wg is the average within-group correlation, r_mix is the overall mixture correlation, dx is the standardized mean difference between groups on X, dy 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)

psychmeta documentation built on Aug. 26, 2022, 5:14 p.m.