Transforming three-way arrays to maximal simplicity
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DOI: 10.1007/BF02294989
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- J. Carroll & Jih-Jie Chang, 1970. "Analysis of individual differences in multidimensional scaling via an n-way generalization of “Eckart-Young” decomposition," Psychometrika, Springer;The Psychometric Society, vol. 35(3), pages 283-319, September.
- Kiers, Henk A. L., 1998. "Three-way SIMPLIMAX for oblique rotation of the three-mode factor analysis core to simple structure," Computational Statistics & Data Analysis, Elsevier, vol. 28(3), pages 307-324, September.
- Henk Kiers & Jos Berge & Roberto Rocci, 1997. "Uniqueness of three-mode factor models with sparse cores: The 3 × 3 × 3 case," Psychometrika, Springer;The Psychometric Society, vol. 62(3), pages 349-374, September.
- Pieter Kroonenberg & Jan Leeuw, 1980. "Principal component analysis of three-mode data by means of alternating least squares algorithms," Psychometrika, Springer;The Psychometric Society, vol. 45(1), pages 69-97, March.
- Ledyard Tucker, 1966. "Some mathematical notes on three-mode factor analysis," Psychometrika, Springer;The Psychometric Society, vol. 31(3), pages 279-311, September.
- Takashi Murakami & Jos Berge & Henk Kiers, 1998. "A case of extreme simplicity of the core matrix in three-mode principal components analysis," Psychometrika, Springer;The Psychometric Society, vol. 63(3), pages 255-261, September.
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Keywords
three-way PCA; core array; simplicity;All these keywords.
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