Three-mode orthomax rotation
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DOI: 10.1007/BF02294644
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- George Ferguson, 1954. "The concept of parsimony in factor analysis," Psychometrika, Springer;The Psychometric Society, vol. 19(4), pages 281-290, December.
- Henry Kaiser, 1958. "The varimax criterion for analytic rotation in factor analysis," Psychometrika, Springer;The Psychometric Society, vol. 23(3), pages 187-200, September.
- Robert MacCallum, 1976. "Transformation of a three-mode multidimensional scaling solution to indscal form," Psychometrika, Springer;The Psychometric Society, vol. 41(3), pages 385-400, September.
- Ledyard Tucker, 1966. "Some mathematical notes on three-mode factor analysis," Psychometrika, Springer;The Psychometric Society, vol. 31(3), pages 279-311, September.
- Arie Kapteyn & Heinz Neudecker & Tom Wansbeek, 1986. "An approach ton-mode components analysis," Psychometrika, Springer;The Psychometric Society, vol. 51(2), pages 269-275, June.
- 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.
- Henk Kiers, 1991. "Hierarchical relations among three-way methods," Psychometrika, Springer;The Psychometric Society, vol. 56(3), pages 449-470, September.
- Robert Jennrich, 1970. "Orthogonal rotation algorithms," Psychometrika, Springer;The Psychometric Society, vol. 35(2), pages 229-235, June.
- John Carroll, 1953. "An analytical solution for approximating simple structure in factor analysis," Psychometrika, Springer;The Psychometric Society, vol. 18(1), pages 23-38, March.
- Charles Crawford & George Ferguson, 1970. "A general rotation criterion and its use in orthogonal rotation," Psychometrika, Springer;The Psychometric Society, vol. 35(3), pages 321-332, September.
- Douglas Clarkson & Robert Jennrich, 1988. "Quartic rotation criteria and algorithms," Psychometrika, Springer;The Psychometric Society, vol. 53(2), pages 251-259, June.
- John Lastovicka, 1981. "The extension of component analysis to four-mode matrices," Psychometrika, Springer;The Psychometric Society, vol. 46(1), pages 47-57, March.
- Chester Harris & Henry Kaiser, 1964. "Oblique factor analytic solutions by orthogonal transformations," Psychometrika, Springer;The Psychometric Society, vol. 29(4), pages 347-362, December.
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Cited by:
- 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.
- 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.
- Ikemoto, Hiroki & Adachi, Kohei, 2016. "Sparse Tucker2 analysis of three-way data subject to a constrained number of zero elements in a core array," Computational Statistics & Data Analysis, Elsevier, vol. 98(C), pages 1-18.
- Rosaria Lombardo & Eric J. Beh & Luis Guerrero, 2019. "Analysis of three-way non-symmetrical association of food concepts in cross-cultural marketing," Quality & Quantity: International Journal of Methodology, Springer, vol. 53(5), pages 2323-2337, September.
- Haruhiko Ogasawara, 2003. "Oblique factors and components with independent clusters," Psychometrika, Springer;The Psychometric Society, vol. 68(2), pages 299-321, June.
- Lombardo, Rosaria & Camminatiello, Ida & D'Ambra, Antonello & Beh, Eric J., 2021. "Assessing the Italian tax courts system by weighted three-way log-ratio analysis," Socio-Economic Planning Sciences, Elsevier, vol. 73(C).
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Keywords
varimax; quartimax; three-mode principal components analysis; simple structure;All these keywords.
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