The composite direct product (CDP) model is a multiplicative model for multitrait-multimethod (MTMM) designs. It is extended to incomplete MTMM correlation matrices where some trait-method combinations are not available. Rules for omitting trait-method combinations without resulting in an indeterminate model are also suggested. Maximum likelihood…

An approach to the analysis of multitrait-multimethod matrices is proposed in which improper solutions are ruled out and convergence is guaranteed. The approach, based on constrained variants of components analysis, provides component scores that can relate components to external variables. It is illustrated through simulated and empirical data.…

In confirmatory factor analysis (CFA), models exist that are admissible and demonstrably identified where the factor loading matrix from latent to manifest variables is of less than full column rank, even though other models are not identified. Implications for CFA are discussed. (SLD)

The composite direct-product model for the multitrait-multimethod (MTMM) matrix is reparamaterized as a second-order factor analysis model. This process facilitates the use of widely available computer programs--LISREL and LISCOMP--for fitting the model. If bounds on phi and theta are not imposed to avoid inadmissible values, convergence problems…

A modification of the TUCKALS3 algorithm is proposed that handles three-way arrays of order I x J x K for any I. The reduced work space needed for storing data and increased execution speed make the modified algorithm very suitable for use on personal computers. (SLD)