IDEAS home Printed from https://ideas.repec.org/a/spr/psycho/v40y1975i4p525-548.html
   My bibliography  Save this article

Nonlinear programming approach to optimal scaling of partially ordered categories

Author

Listed:
  • Shizuhiko Nishisato
  • P. Arri

Abstract

No abstract is available for this item.

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
    as

    Download full text from publisher

    File URL: http://hdl.handle.net/10.1007/BF02291554
    Download Restriction: Access to full text is restricted to subscribers.
    File URL: https://libkey.io/10.1007/BF02291554?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Roderick McDonald, 1968. "A unified treatment of the weighting problem," Psychometrika, Springer;The Psychometric Society, vol. 33(3), pages 351-381, September.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. 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.
    2. 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.
    3. 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.
    4. Shizuhiko Nishisato, 1984. "Forced classification: A simple application of a quantification method," Psychometrika, Springer;The Psychometric Society, vol. 49(1), pages 25-36, March.
    5. 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.
    6. 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).
    7. Eric Beh, 2004. "S-PLUS code for ordinal correspondence analysis," Computational Statistics, Springer, vol. 19(4), pages 593-612, December.
    8. 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.
    9. 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.
    10. 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.
    11. 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.
    12. 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.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Henk Kiers, 1995. "Maximization of sums of quotients of quadratic forms and some generalizations," Psychometrika, Springer;The Psychometric Society, vol. 60(2), pages 221-245, June.
    2. Malcolm Dow & Peter Willett & Roderick McDonald & Belver Griffith & Michael Greenacre & Peter Bryant & Daniel Wartenberg & Ove Frank, 1987. "Book reviews," Journal of Classification, Springer;The Classification Society, vol. 4(2), pages 245-278, September.
    3. Roderick McDonald, 1986. "Describing the elephant: Structure and function in multivariate data," Psychometrika, Springer;The Psychometric Society, vol. 51(4), pages 513-534, December.
    4. Roderick McDonald, 1970. "Three common factor models for groups of variables," Psychometrika, Springer;The Psychometric Society, vol. 35(1), pages 111-128, March.
    5. Michel Tenenhaus & Arthur Tenenhaus & Patrick J. F. Groenen, 2017. "Regularized Generalized Canonical Correlation Analysis: A Framework for Sequential Multiblock Component Methods," Psychometrika, Springer;The Psychometric Society, vol. 82(3), pages 737-777, September.
    6. Shizuhiko Nishisato & Wen-Jenn Sheu, 1980. "Piecewise method of reciprocal averages for dual scaling of multiple-choice data," Psychometrika, Springer;The Psychometric Society, vol. 45(4), pages 467-478, December.
    7. Roderick McDonald & Yukihiko Torii & Shizuhiko Nishisato, 1979. "Some results on proper eigenvalues and eigenvectors with applications to scaling," Psychometrika, Springer;The Psychometric Society, vol. 44(2), pages 211-227, June.
    8. Shizuhiko Nishisato, 1984. "Forced classification: A simple application of a quantification method," Psychometrika, Springer;The Psychometric Society, vol. 49(1), pages 25-36, March.
    9. Roderick McDonald, 1983. "Alternative weights and invariant parameters in optimal scaling," Psychometrika, Springer;The Psychometric Society, vol. 48(3), pages 377-391, September.
    10. Shizuhiko Nishisato, 1996. "Gleaning in the field of dual scaling," Psychometrika, Springer;The Psychometric Society, vol. 61(4), pages 559-599, December.
    11. 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.

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:spr:psycho:v:40:y:1975:i:4:p:525-548. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.