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Relations between multidimensional scaling and three-mode factor analysis

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  • Ledyard Tucker

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  • Ledyard Tucker, 1972. "Relations between multidimensional scaling and three-mode factor analysis," Psychometrika, Springer;The Psychometric Society, vol. 37(1), pages 3-27, March.
    • Handle: RePEc:spr:psycho:v:37:y:1972:i:1:p:3-27
    DOI: 10.1007/BF02291410
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    References listed on IDEAS

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    1. Henry Kaiser, 1958. "The varimax criterion for analytic rotation in factor analysis," Psychometrika, Springer;The Psychometric Society, vol. 23(3), pages 187-200, September.
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    Cited by:

    1. Yoshio Takane & Forrest Young & Jan Leeuw, 1977. "Nonmetric individual differences multidimensional scaling: An alternating least squares method with optimal scaling features," Psychometrika, Springer;The Psychometric Society, vol. 42(1), pages 7-67, March.
    2. Mariela González-Narváez & María José Fernández-Gómez & Susana Mendes & José-Luis Molina & Omar Ruiz-Barzola & Purificación Galindo-Villardón, 2021. "Study of Temporal Variations in Species–Environment Association through an Innovative Multivariate Method: MixSTATICO," Sustainability, MDPI, vol. 13(11), pages 1-25, May.
    3. Richard Harshman & Margaret Lundy, 1996. "Uniqueness proof for a family of models sharing features of Tucker's three-mode factor analysis and PARAFAC/candecomp," Psychometrika, Springer;The Psychometric Society, vol. 61(1), pages 133-154, March.
    4. Dawn Iacobucci & Doug Grisaffe & Wayne DeSarbo, 2017. "Statistical perceptual maps: using confidence region ellipses to enhance the interpretations of brand positions in multidimensional scaling," Journal of Marketing Analytics, Palgrave Macmillan, vol. 5(3), pages 81-98, December.
    5. Hildebrandt, Lutz & Klapper, Daniel, 1997. "Möglichkeiten und Ansätze der Analyse dreimodaler Daten für die Marktforschung," SFB 373 Discussion Papers 1997,90, Humboldt University of Berlin, Interdisciplinary Research Project 373: Quantification and Simulation of Economic Processes.
    6. Warren Torgerson, 1986. "Scaling and Psychometrika: Spatial and alternative representations of similarity data," Psychometrika, Springer;The Psychometric Society, vol. 51(1), pages 57-63, March.
    7. Henk Kiers, 1991. "Hierarchical relations among three-way methods," Psychometrika, Springer;The Psychometric Society, vol. 56(3), pages 449-470, September.
    8. Willem Kloot & Pieter Kroonenberg, 1985. "External analysis with three-mode principal component models," Psychometrika, Springer;The Psychometric Society, vol. 50(4), pages 479-494, December.
    9. Wayne DeSarbo & Vijay Mahajan, 1984. "Constrained classification: The use of a priori information in cluster analysis," Psychometrika, Springer;The Psychometric Society, vol. 49(2), pages 187-215, June.
    10. Rizzi, Alfredo & Vichi, Maurizio, 1995. "Representation, synthesis, variability and data preprocessing of a three-way data set," Computational Statistics & Data Analysis, Elsevier, vol. 19(2), pages 203-222, February.
    11. James Alt & Bo Särlvik & Ivor Crewe, 1976. "Individual differences scaling and group attitude structures: British party imagery in 1974," Quality & Quantity: International Journal of Methodology, Springer, vol. 10(4), pages 297-320, December.
    12. Pietro Lovaglio & Mario Mezzanzanica, 2013. "Classification of longitudinal career paths," Quality & Quantity: International Journal of Methodology, Springer, vol. 47(2), pages 989-1008, February.
    13. Veldscholte, Carla M. & Kroonenberg, Pieter M. & Antonides, Gerrit, 1998. "Three-mode analysis of perceptions of economic activities in Eastern and Western Europe1," Journal of Economic Psychology, Elsevier, vol. 19(3), pages 321-351, June.
    14. Robert MacCallum & Edwin Cornelius, 1977. "A monte carlo investigation of recovery of structure by alscal," Psychometrika, Springer;The Psychometric Society, vol. 42(3), pages 401-428, September.
    15. J. Carroll, 1985. "Review," Psychometrika, Springer;The Psychometric Society, vol. 50(1), pages 133-140, March.
    16. Ingwer Borg & James Lingoes, 1978. "What weight should weights have in individual differences scaling?," Quality & Quantity: International Journal of Methodology, Springer, vol. 12(3), pages 223-237, September.
    17. Zárraga Castro, María Amaya & Goitisolo Lezama, Beatriz, 2000. "factor analysis of a set of contingency tables," BILTOKI 1134-8984, Universidad del País Vasco - Departamento de Economía Aplicada III (Econometría y Estadística).
    18. J. Carroll, 1976. "Spatial, non-spatial and hybrid models for scaling," Psychometrika, Springer;The Psychometric Society, vol. 41(4), pages 439-463, December.
    19. 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.
    20. Harvey Cohen & Lawrence Jones, 1974. "The effects of random error and subsampling of dimensions on recovery of configurations by non-metric multidimensional scaling," Psychometrika, Springer;The Psychometric Society, vol. 39(1), pages 69-90, March.
    21. Dawn Iacobucci & Stanley Wasserman, 1990. "Social networks with two sets of actors," Psychometrika, Springer;The Psychometric Society, vol. 55(4), pages 707-720, December.

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