the CAGE can be compared from one age and sex to another. With the CAGE being measurement invariant over age and sex, differences in the prevalence are allowed for when these result from a difference at the latent factor level. In an additional model it was examined whether sex differences existed at the latent factor level by testing whether the factor means for males and females could be constrained to be equal. This changed the model fit based on the RMSEA from good into acceptable (Schermelleh-Engel and Moosbrugger 2003) (χ2 (73) = 246.54, p < 0.001; RMSEA = .058), suggesting that sex differences exist at the latent factor level.
