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- Title
Three-mode analysis of multimode covariance matrices.
- Authors
Kroonenberg, Pieter M; Oort, Frans J
- Abstract
Multimode covariance matrices, such as multitrait-multimethod matrices, contain the covariances of subject scores on variables for different occasions or conditions. This paper presents a comparison of three-mode component analysis and three-mode factor analysis applied to such covariance matrices. The differences and similarities between the non-stochastic and stochastic approaches are demonstrated by two examples, one of which has a longitudinal design. The empirical comparison is facilitated by deriving, as a heuristic device, a statistic based on the maximum likelihood function for three-mode factor analysis and its associated degrees of freedom for the three-mode component models. Furthermore, within the present context a case is made for interpreting the core array as second-order components.
- Publication
The British journal of mathematical and statistical psychology, 2003, Vol 56, Issue Pt 2, p305
- ISSN
0007-1102
- Publication type
Journal Article
- DOI
10.1348/000711003770480066