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A method of optimal scaling for multivariate ordinal data and its extensions

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  • Takayuki Saito
  • Tatsuo Otsu

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  • Takayuki Saito & Tatsuo Otsu, 1988. "A method of optimal scaling for multivariate ordinal data and its extensions," Psychometrika, Springer;The Psychometric Society, vol. 53(1), pages 5-25, March.
    • Handle: RePEc:spr:psycho:v:53:y:1988:i:1:p:5-25
    DOI: 10.1007/BF02294191
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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. Michel Tenenhaus & Forrest Young, 1985. "An analysis and synthesis of multiple correspondence analysis, optimal scaling, dual scaling, homogeneity analysis and other methods for quantifying categorical multivariate data," Psychometrika, Springer;The Psychometric Society, vol. 50(1), pages 91-119, March.
    3. James Lingoes & Peter Schönemann, 1974. "Alternative measures of fit for the Schönemann-carroll matrix fitting algorithm," Psychometrika, Springer;The Psychometric Society, vol. 39(4), pages 423-427, December.
    4. J. Kruskal, 1964. "Multidimensional scaling by optimizing goodness of fit to a nonmetric hypothesis," Psychometrika, Springer;The Psychometric Society, vol. 29(1), pages 1-27, March.
    5. Joseph Kruskal & Roger Shepard, 1974. "A nonmetric variety of linear factor analysis," Psychometrika, Springer;The Psychometric Society, vol. 39(2), pages 123-157, June.
    6. Shizuhiko Nishisato & P. Arri, 1975. "Nonlinear programming approach to optimal scaling of partially ordered categories," Psychometrika, Springer;The Psychometric Society, vol. 40(4), pages 525-548, December.
    7. R. Bradley & S. Katti & Irma Coons, 1962. "Optimal scaling for ordered categories," Psychometrika, Springer;The Psychometric Society, vol. 27(4), pages 355-374, December.
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    Cited by:

    1. Math Candel, 2001. "Recovering the Metric Structure in Ordinal Data: Linear Versus Nonlinear Principal Components Analysis," Quality & Quantity: International Journal of Methodology, Springer, vol. 35(1), pages 91-105, February.
    2. Sei, Tomonari, 2016. "An objective general index for multivariate ordered data," Journal of Multivariate Analysis, Elsevier, vol. 147(C), pages 247-264.
    3. Kuriki, Satoshi, 2005. "Asymptotic distribution of inequality-restricted canonical correlation with application to tests for independence in ordered contingency tables," Journal of Multivariate Analysis, Elsevier, vol. 94(2), pages 420-449, June.
    4. Shizuhiko Nishisato, 1996. "Gleaning in the field of dual scaling," Psychometrika, Springer;The Psychometric Society, vol. 61(4), pages 559-599, December.

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