Both shared environmental (c2) common and criteria-specific factors were eliminated early in model fitting. Perhaps this was premature and c2 variation would contribute meaningfully to our best-fit model. A model with an additional shared environmental common factor (model 16) did not improve the AIC. However, we added shared environmental criteria-specific loadings to our best-fit model (to make model 24) and to model 16 (to make model 25). Neither of these additions improved upon our best-fit model.
