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Component models for three-way data: An alternating least squares algorithm with optimal scaling features

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  • Richard Sands
  • Forrest Young

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  • Richard Sands & Forrest Young, 1980. "Component models for three-way data: An alternating least squares algorithm with optimal scaling features," Psychometrika, Springer;The Psychometric Society, vol. 45(1), pages 39-67, March.
    • Handle: RePEc:spr:psycho:v:45:y:1980:i:1:p:39-67
    DOI: 10.1007/BF02293598
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    References listed on IDEAS

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    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. Forrest Young & Yoshio Takane & Jan Leeuw, 1978. "The principal components of mixed measurement level multivariate data: An alternating least squares method with optimal scaling features," Psychometrika, Springer;The Psychometric Society, vol. 43(2), pages 279-281, June.
    3. 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.
    4. K. Jöreskog, 1971. "Statistical analysis of sets of congeneric tests," Psychometrika, Springer;The Psychometric Society, vol. 36(2), pages 109-133, June.
    5. Carl Eckart & Gale Young, 1936. "The approximation of one matrix by another of lower rank," Psychometrika, Springer;The Psychometric Society, vol. 1(3), pages 211-218, September.
    6. Peter Schönemann, 1972. "An algebraic solution for a class of subjective metrics models," Psychometrika, Springer;The Psychometric Society, vol. 37(4), pages 441-451, December.
    7. Ledyard Tucker, 1966. "Some mathematical notes on three-mode factor analysis," Psychometrika, Springer;The Psychometric Society, vol. 31(3), pages 279-311, September.
    8. Forrest Young & Jan Leeuw & Yoshio Takane, 1976. "Regression with qualitative and quantitative variables: An alternating least squares method with optimal scaling features," Psychometrika, Springer;The Psychometric Society, vol. 41(4), pages 505-529, December.
    9. Forrest Young, 1970. "Nonmetric multidimensional scaling: Recovery of metric information," Psychometrika, Springer;The Psychometric Society, vol. 35(4), pages 455-473, December.
    10. Forrest Young & Cynthia Null, 1978. "Multidimensional scaling of nominal data: The recovery of metric information with alscal," Psychometrika, Springer;The Psychometric Society, vol. 43(3), pages 367-379, September.
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    Cited by:

    1. Ji Yeh Choi & Heungsun Hwang & Marieke E. Timmerman, 2018. "Functional Parallel Factor Analysis for Functions of One- and Two-dimensional Arguments," Psychometrika, Springer;The Psychometric Society, vol. 83(1), pages 1-20, March.
    2. Forrest Young, 1981. "Quantitative analysis of qualitative data," Psychometrika, Springer;The Psychometric Society, vol. 46(4), pages 357-388, December.

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    Keywords

    individual differences; measurement level;

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