Uniqueness of three-mode factor models with sparse cores: The \(3\times 3\times 3\) case

DOI10.1007/BF02294556zbMath0890.62046OpenAlexW2019433413MaRDI QIDQ1371415

Henk A. L. Kiers, Jos M. F. ten Berge, Roberto Rocci

Publication date: 22 June 1998

Published in: Psychometrika (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02294556

zbMATH Keywords

PARAFACthree-way methods

Mathematics Subject Classification ID

Factor analysis and principal components; correspondence analysis (62H25) Applications of statistics to psychology (62P15)

Related Items (5)

Space-time spreading-multiplexing for MIMO wireless communication systems using the PARATUCK-2 tensor model ⋮ Simplicity and typical rank results for three-way arrays ⋮ Uniqueness of \(N\)-way \(N\)-mode hierarchical classes models. ⋮ Transforming three-way arrays to maximal simplicity ⋮ Three-way SIMPLIMAX for oblique rotation of the three-mode factor analysis core to simple structure.

Uses Software

• PARAFAC

Cites Work

• Principal component analysis of three-mode data by means of alternating least squares algorithms
• Three-way arrays: rank and uniqueness of trilinear decompositions, with application to arithmetic complexity and statistics
• Three-mode orthomax rotation
• Multilinear models: applications in spectroscopy. With comments by Jan de Leeuw, Pieter M. Kroonenberg and Donald S. Burdick and a rejoinder by the authors
• Analysis of individual differences in multidimensional scaling via an \(n\)-way generalization of ``Eckart-Young decomposition
• Three-mode factor analysis with binary core and orthonormality constraints
• Annotated bibliography of three-mode factor analysis

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