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

Description Usage Arguments Details Value References Examples

View source: R/composites.R

Description

\loadmathjax

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

Usage

1
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:

\mjdeqn\rho

_XX=\frac\bar\rho_x_ix_ik+k\left(k-1\right)\bar\rho_x_ix_jk+k\left(k-1\right)\bar\rho_x_ix_jrel_composite = (mean_rel * k_vars + k_vars * (k_vars-1) * mean_intercor) / (k_vars + k_vars * (k_vars-1) * mean_intercor)

where \mjeqn\bar\rho_x_ix_imean_rel is the mean reliability of variables in the composite, \mjeqn\bar\rho_x_ix_jmean_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

1
composite_rel_scalar(mean_rel = .8, mean_intercor = .4, k_vars = 2)

Example output

-----------------------------------------------------  psychmeta version 2.3.3  --

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We work hard to produce these open-source tools for the R community, 
please cite psychmeta when you use it in your research: 
  Dahlke, J. A., & Wiernik, B. M. (2018). psychmeta: An R package for 
     psychometric meta-analysis. Applied Psychological Measurement. 
     Advance online publication. https://doi.org/10.1177/0146621618795933

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psychmeta documentation built on June 1, 2021, 9:13 a.m.