Omega_S {BifactorIndicesCalculator}

Omega_S

Description

Computes an omega reliability estimate for all factors as described in Rodriguez, Reise, and Haviland (2016).

Usage

Omega_S(Lambda, Theta)

Arguments

Lambda

is a matrix of factor loadings

Theta

is a vector of indicator error variances

Details

Omega_S is called by bifactorIndices and the various convenience functions for exploratory models and/or Mplus output, which are the only functions in this package intended for casual users.

Value

A numeric, the omega reliability estimate for all factors.

References

Rodriguez, A., Reise, S. P., & Haviland, M. G. (2016). Evaluating bifactor models: calculating and interpreting statistical indices. Psychological Methods, 21(2), 137 doi: 10.1037/met0000045.

See Also

Omega_H, bifactorIndices

Examples

Lambda <- matrix(c(.82, .10,   0,   0,
                   .77, .35,   0,   0,
                   .79, .32,   0,   0,
                   .66, .39,   0,   0,
                   .51,   0, .71,   0,
                   .56,   0, .43,   0,
                   .68,   0, .13,   0,
                   .60,   0, .50,   0,
                   .83,   0,   0, .47,
                   .60,   0,   0, .27,
                   .78,   0,   0, .28,
                   .55,   0,   0, .75),
                   ncol = 4, byrow = TRUE)
colnames(Lambda) <- c("General", "SF1", "SF2", "SF3")
Theta <- rep(1, nrow(Lambda)) - rowSums(Lambda^2)
Omega_S(Lambda, Theta)