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Nonlinear programming approach to optimal scaling of partially ordered categories

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  • Shizuhiko Nishisato
  • P. Arri

Abstract

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Suggested Citation

  • 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.
  • Handle: RePEc:spr:psycho:v:40:y:1975:i:4:p:525-548
    DOI: 10.1007/BF02291554
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    References listed on IDEAS

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    1. Roderick McDonald, 1968. "A unified treatment of the weighting problem," Psychometrika, Springer;The Psychometric Society, vol. 33(3), pages 351-381, September.
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    Cited by:

    1. Shizuhiko Nishisato & Wen-Jenn Sheu, 1984. "A note on dual scaling of successive categories data," Psychometrika, Springer;The Psychometric Society, vol. 49(4), pages 493-500, December.
    2. Rosaria Lombardo & Jacqueline Meulman, 2010. "Multiple Correspondence Analysis via Polynomial Transformations of Ordered Categorical Variables," Journal of Classification, Springer;The Classification Society, vol. 27(2), pages 191-210, September.
    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. Lombardo, R. & Beh, E.J. & D'Ambra, L., 2007. "Non-symmetric correspondence analysis with ordinal variables using orthogonal polynomials," Computational Statistics & Data Analysis, Elsevier, vol. 52(1), pages 566-577, September.
    5. Shizuhiko Nishisato, 1984. "Forced classification: A simple application of a quantification method," Psychometrika, Springer;The Psychometric Society, vol. 49(1), pages 25-36, March.
    6. Rosaria Lombardo & Ida Camminatiello & Eric J. Beh, 2019. "Assessing Satisfaction with Public Transport Service by Ordered Multiple Correspondence Analysis," Social Indicators Research: An International and Interdisciplinary Journal for Quality-of-Life Measurement, Springer, vol. 143(1), pages 355-369, May.
    7. Rosaria Lombardo & Eric Beh & Antonello D'Ambra, 2011. "Studying the dependence between ordinal-nominal categorical variables via orthogonal polynomials," Journal of Applied Statistics, Taylor & Francis Journals, vol. 38(10), pages 2119-2132.
    8. 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.
    9. Fattore, Marco & Alaimo, Leonardo Salvatore, 2023. "A partial order toolbox for building synthetic indicators of sustainability with ordinal data," Socio-Economic Planning Sciences, Elsevier, vol. 88(C).
    10. L. D’Ambra & R. Lombardo & P. Amenta, 2000. "Multivariate co-inertia analysis for qualitative data by partial least squares," Statistical Methods & Applications, Springer;Società Italiana di Statistica, vol. 9(1), pages 23-37, January.
    11. Eric Beh, 2004. "S-PLUS code for ordinal correspondence analysis," Computational Statistics, Springer, vol. 19(4), pages 593-612, December.
    12. T. Jefferson & J. May & N. Ravi, 1989. "An entropy approach to the scaling of ordinal categorical data," Psychometrika, Springer;The Psychometric Society, vol. 54(2), pages 203-215, June.

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