Bozdogan's (Bozdogan, 1987) CAIC (consistent AIC) is given by the formula,
.
CAIC assigns a greater penalty to model complexity than either AIC or BCC, but not as great a penalty as does BIC. CAIC is reported only for the case of a single group where means and intercepts are not explicit model parameters.
Use the \caic text macro to display CAIC on a path diagram.