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Uniqueness proof for a family of models sharing features of Tucker's three-mode factor analysis and PARAFAC/candecomp

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  • Richard Harshman
  • Margaret Lundy

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  • 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.
    • Handle: RePEc:spr:psycho:v:61:y:1996:i:1:p:133-154
    DOI: 10.1007/BF02296963
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    References listed on IDEAS

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    1. William Meredith, 1964. "Notes on factorial invariance," Psychometrika, Springer;The Psychometric Society, vol. 29(2), pages 177-185, June.
    2. 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.
    3. Raymond Cattell, 1944. "“Parallel proportional profiles” and other principles for determining the choice of factors by rotation," Psychometrika, Springer;The Psychometric Society, vol. 9(4), pages 267-283, December.
    4. Joseph Kruskal, 1976. "More factors than subjects, tests and treatments: An indeterminacy theorem for canonical decomposition and individual differences scaling," Psychometrika, Springer;The Psychometric Society, vol. 41(3), pages 281-293, September.
    5. 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.
    6. Terrence Dunn & Richard Harshman, 1982. "A multidimensional scaling model for the size-weight illusion," Psychometrika, Springer;The Psychometric Society, vol. 47(1), pages 25-45, March.
    7. Ledyard Tucker, 1972. "Relations between multidimensional scaling and three-mode factor analysis," Psychometrika, Springer;The Psychometric Society, vol. 37(1), pages 3-27, March.
    8. Ledyard Tucker, 1966. "Some mathematical notes on three-mode factor analysis," Psychometrika, Springer;The Psychometric Society, vol. 31(3), pages 279-311, September.
    9. Harshman, Richard A. & Lundy, Margaret E., 1994. "PARAFAC: Parallel factor analysis," Computational Statistics & Data Analysis, Elsevier, vol. 18(1), pages 39-72, August.
    10. Richard A. Harshman & Paul E. Green & Yoram Wind & Margaret E. Lundy, 1982. "A Model for the Analysis of Asymmetric Data in Marketing Research," Marketing Science, INFORMS, vol. 1(2), pages 205-242.
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    Cited by:

    1. Nathaniel Helwig, 2013. "The Special Sign Indeterminacy of the Direct-Fitting Parafac2 Model: Some Implications, Cautions, and Recommendations for Simultaneous Component Analysis," Psychometrika, Springer;The Psychometric Society, vol. 78(4), pages 725-739, October.

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