composite_rel_scalar: Scalar formula to estimate the reliability of a composite...

In psychmeta: Psychometric Meta-Analysis Toolkit

Scalar formula to estimate the reliability of a composite variable

Description

This function computes the reliability of a variable that is a unit-weighted composite of other variables.

Usage

composite_rel_scalar(mean_rel, mean_intercor, k_vars)

Arguments

mean_rel	The mean reliability of variables in the composite.
mean_intercor	The mean correlation among the variables in the composite.
k_vars	The number of variables in the composite.

Details

The Mosier composite formula is computed as:

rel_composite = (mean_rel * k_vars + k_vars * (k_vars-1) * mean_intercor) / (k_vars + k_vars * (k_vars-1) * mean_intercor)

where mean_rel is the mean reliability of variables in the composite, mean_intercor is the mean intercorrelation among variables in the composite, and k is the number of variables in the composite.

Value

The estimated reliability of the composite variable.

References

Mosier, C. I. (1943). On the reliability of a weighted composite. Psychometrika, 8(3), 161–168. doi: 10.1007/BF02288700

Schmidt, F. L., & Hunter, J. E. (2015). Methods of meta-analysis: Correcting error and bias in research findings (3rd ed.). Thousand Oaks, CA: Sage. doi: 10.4135/9781483398105. pp. 441 - 447.

Examples

composite_rel_scalar(mean_rel = .8, mean_intercor = .4, k_vars = 2)

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