cat_Omega_S {BifactorIndicesCalculator} | R Documentation |
Computes an omega reliability estimate for all factors as described in Rodriguez, Reise, and Haviland (2016).
cat_Omega_S(Lambda, Thresh, Phi = NULL, Denom = NULL)
Lambda |
is a matrix of standardized factor loadings |
Thresh |
is a list (indexed by items) of vectors of item thresholds (items must be on a standardized metric). |
Phi |
is the latent variable covariance matrix. Defaults to |
Denom |
specifies how the variance of the total score will be computed. Defaults
to |
cat_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.
A numeric
, the omega reliability estimate for all factors using the technique of
Green and Yang (2009).
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.
Green, S. B., & Yang, Y. (2009). Reliability of summed item scores using structural equation modeling: An alternative to coefficient alpha. Psychometrika, 74(1), 155-167 doi: 10.1007/s11336-008-9099-3.
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") Thresh = list(c(-1, 0, 1), c(-0.5, 0, 0.5), c(0, 1, 2), c(0, 0.5, 1), c(-2, -1, 0), c(-1, -0.5, 0), c(-1, 0, 2), c(-0.5, 0, 1), c(-2, 0, 1), c(-1, 0, 0.5), c(-1, 0, 1), c(-0.5, 0, 0.5)) cat_Omega_S(Lambda, Thresh)