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Monotone spline transformations for dimension reduction

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  • S. Winsberg
  • J. Ramsay

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  • S. Winsberg & J. Ramsay, 1983. "Monotone spline transformations for dimension reduction," Psychometrika, Springer;The Psychometric Society, vol. 48(4), pages 575-595, December.
  • Handle: RePEc:spr:psycho:v:48:y:1983:i:4:p:575-595
    DOI: 10.1007/BF02293881
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    References listed on IDEAS

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    1. 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.
    2. Joseph Kruskal & Roger Shepard, 1974. "A nonmetric variety of linear factor analysis," Psychometrika, Springer;The Psychometric Society, vol. 39(2), pages 123-157, June.
    3. J. Ramsay, 1977. "Maximum likelihood estimation in multidimensional scaling," Psychometrika, Springer;The Psychometric Society, vol. 42(2), pages 241-266, June.
    4. Suzanne Winsberg & James Ramsay, 1981. "Analysis of pairwise preference data using integrated B-splines," Psychometrika, Springer;The Psychometric Society, vol. 46(2), pages 171-186, 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. J. Ramsay, 1977. "Monotonic weighted power transformations to additivity," Psychometrika, Springer;The Psychometric Society, vol. 42(1), pages 83-109, March.
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    Citations

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    Cited by:

    1. Paola Costantini & Marielle Linting & Giovanni C. Porzio, 2010. "Mining performance data through nonlinear PCA with optimal scaling," Applied Stochastic Models in Business and Industry, John Wiley & Sons, vol. 26(1), pages 85-101, January.
    2. Christian Genest & Johanna G. Nešlehová, 2014. "A Conversation with James O. Ramsay," International Statistical Review, International Statistical Institute, vol. 82(2), pages 161-183, August.
    3. Yoshio Takane & Tadashi Shibayama, 1991. "Principal component analysis with external information on both subjects and variables," Psychometrika, Springer;The Psychometric Society, vol. 56(1), pages 97-120, March.
    4. Suzanne Winsberg & Geert Soete, 1993. "A latent class approach to fitting the weighted Euclidean model, clascal," Psychometrika, Springer;The Psychometric Society, vol. 58(2), pages 315-330, June.
    5. Geert Soete & Suzanne Winsberg, 1993. "A thurstonian pairwise choice model with univariate and multivariate spline transformations," Psychometrika, Springer;The Psychometric Society, vol. 58(2), pages 233-256, June.
    6. Herden, Gerhard & Pallack, Andreas, 2005. "Adequateness and interpretability of objective functions in ordinal data analysis," Journal of Multivariate Analysis, Elsevier, vol. 94(1), pages 19-69, May.
    7. Luis Fernando Gamboa & Darwin Cortes & Jorge Ivan Gonzalez, 2001. "An approximation to the standard of living index: the colombian case," Borradores de Investigación 1972, Universidad del Rosario.
    8. Yoo, Boonghee, 2009. "Developing an overall ranking of 79 marketing journals: An introduction of PRINQUAL to marketing," Australasian marketing journal, Elsevier, vol. 17(3), pages 160-174.
    9. J. Carroll & Linda Clark & Wayne DeSarbo, 1984. "The representation of three-way proximity data by single and multiple tree structure models," Journal of Classification, Springer;The Classification Society, vol. 1(1), pages 25-74, December.
    10. Jacqueline Meulman, 1992. "The integration of multidimensional scaling and multivariate analysis with optimal transformations," Psychometrika, Springer;The Psychometric Society, vol. 57(4), pages 539-565, December.

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