A method for selecting between K-dimensional linear factor models and (K + 1)-class latent profile models is proposed. In particular, it is shown that the conditional covariances of observed variables are constant under factor models but nonlinear functions of the conditioning variable under latent profile models. The performance of a convenient…

Two tests of cognitive development, the Cartoon Conservation Scales, Levels I and II, were designed to measure Piagetian stage-related constructs for children of different age groups. The tests were factor analyzed within age levels and were also analyzed using scalogram and tabular methods to test sequential hypotheses. (Author/CTM)