IBM® SPSS® Amos™ 28

Amos reports several statistics of the form or , where k is some positive constant. Each of these statistics creates a composite measure of badness of fit () and complexity (q) by forming a weighted sum of the two. Simple models that fit well receive low scores according to such a criterion. Complicated, poorly fitting models get high scores. The constant k determines the relative penalties to be attached to badness of fit and to complexity.

The statistics described in this section are intended for model comparisons and not for the evaluation of an isolated model.

All of these statistics were developed for use with maximum likelihood estimation. Amos reports them for Gls and Adf estimation as well, although it is not clear that their use is appropriate there.