20250109 - composite reliability

Author: isaactpetersen

05-Reliability.Rmd

@@ -1596,6 +1596,7 @@ However, because of the many weaknesses of Cronbach's alpha [@Cortina1993; @Dunn
 
 Current recommendations are to use McDonald's coefficient omega ($\omega$) instead of Cronbach's alpha ($\alpha$) for internal consistency reliability.\index{reliability!internal consistency}\index{reliability!internal consistency!Cronbach's alpha}\index{reliability!internal consistency!omega}
 Specifically, it is recommended to use omega total ($\omega_t$) for continuous items that are unidimensional, omega hierarchical ($\omega_h$) for continuous items that are multidimensional, and omega categorical ($\omega_C$) for categorical items (i.e., items with fewer than five ordinal categories), with confidence intervals calculated from a bias-corrected bootstrap [@Flora2020; @Kelley2016].\index{reliability!internal consistency}\index{reliability!internal consistency!omega}
+In addition to estimating coefficient omega ($\omega$) in the ways described below, omega ($\omega$) can also be estimated in latent factor models, and is sometimes called *composite reliability* (see Section \@ref(reliability-cfa) for an example).\index{reliability!internal consistency}\index{reliability!internal consistency!omega}
 
 ##### Omega Total ($\omega_t$)
 

15-Factor-Analysis-PCA.Rmd

@@ -2164,6 +2164,7 @@ cor.test(
 #### Internal Consistency Reliability {#reliability-cfa}
 
 [Internal consistency reliability](#internalConsistency-reliability) of items composing the latent factors, as quantified by [omega ($\omega$)](#coefficientOmega) and [average variance extracted](#averageVarianceExtracted) (AVE), was estimated using the `semTools` package [@R-semTools].\index{factor analysis!confirmatory}\index{reliability!internal consistency}\index{reliability!internal consistency!omega}\index{reliability!internal consistency!average variance extracted}
+[Coefficient omega ($\omega$)](#coefficientOmega) is an example of *composite reliability*.\index{factor analysis!confirmatory}\index{reliability!internal consistency}\index{reliability!internal consistency!omega}
 
 ```{r}
 compRelSEM(cfaModelFit)