The Schmid-Leiman (J. Schmid and J. M. Leiman, 1957) decomposition of a hierarchical factor model converts the model to a constrained case of a bifactor model with orthogonal common factors that is equivalent to the hierarchical model. This article discusses the equivalence of the hierarchical and bifactor models. (Author/SLD)

Reviews the use of structural equation modeling for providing an overall assessment of mediation, the mechanism that accounts for the relation between the predictor and the criterion. A strategy for supplemental details is presented that measures the magnitude of mediational effects. (SLD)

Evaluated the performance of several alternative cluster analytic approaches to initial model specification using population parameter analyses and a Monte Carlo simulation. Of the six cluster approaches evaluated, the one using the correlations of item correlations as a proximity metric and average linking as a clustering algorithm performed the…

Problems found in the application of structural equation modeling to the theory of reasoned action are explored, and an alternative model specification is proposed that improves the fit of the data while leaving intact the structural part of the model being tested. Problems and the proposed alternative are illustrated. (SLD)

A theoretical and philosophical revision of the concept of fit in structural equation modeling and its relation to a confirmation bias is developed. The neutral character of fit indexes regarding this issue is argued, concluding that protection against confirmation bias relies on model modification strategy and scientist behavior. (SLD)

A study of the effect of the number of item response categories on chi-square statistics for confirmatory factor analysis indicates that the chi-square statistic for evaluating a single-factor model is most inflated for two-category responses and becomes less inflated as the number of categories increases. (SLD)

A Monte Carlo study evaluated the effectiveness of different factor analysis extraction and rotation methods for identifying the known population multiple-indicator measurement model. Results demonstrate that exploratory factor analysis can contribute to a useful heuristic strategy for model specification prior to cross-validation with…

The effects of levels of aggregation on measures of goodness of fit and higher order parameter estimates obtained from confirmatory factor analysis (CFA) were investigated using three indexes of fit and data on the academic self-concept of 270 undergraduates. Implications of results for model complexity in CFA are discussed. (SLD)

A generalization of the single trait, multioccasion measurement model is provided through a confirmatory measurement model for multitrait-multioccasion (MTMO) data. Several commonly used confirmatory measurement models are contrasted with the MTMO, and it is illustrated with a large four-wave dataset on family support and alcohol involvement. (SLD)

A didactic example is presented of the application of new developments in structural equation modeling that allow for the modeling of multilevel data. The method, a synthesis of methods developed by B. Muthen, is applied to the problem of validating indicators of science education quality in the United States. (SLD)

Studied modeling individual latent growth curves of older adults on measures of fluid intelligence by fitting second-order polynomial curves reflecting initial test performance improvement followed by relative stability/drop to the recorded scores of each of 248 subjects. Results suggest substantial plasticity in fluid intelligence of older…