IDEAS home Printed from https://ideas.repec.org/a/eee/jmvana/v61y1997i1p1-28.html
   My bibliography  Save this article

On Rankings Generated by Pairwise Linear Discriminant Analysis of m Populations

Author

Listed:
  • Kamiya, Hidehiko
  • Takemura, Akimichi

Abstract

Pairwise linear discriminant analysis ofmpopulations inRncan be regarded as a process to generate rankings of the populations. Whennis small compared withm, some of them! rankings are not generated. We give formulae for the number of generated rankings. Moreover, we give basic characterizations of the non-generated rankings.

Suggested Citation

  • Kamiya, Hidehiko & Takemura, Akimichi, 1997. "On Rankings Generated by Pairwise Linear Discriminant Analysis of m Populations," Journal of Multivariate Analysis, Elsevier, vol. 61(1), pages 1-28, April.
    • Handle: RePEc:eee:jmvana:v:61:y:1997:i:1:p:1-28
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0047-259X(97)91662-6
    Download Restriction: Full text for ScienceDirect subscribers only
    ---><---

    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. Yoshio Takane, 1987. "Analysis of contingency tables by ideal point discriminant analysis," Psychometrika, Springer;The Psychometric Society, vol. 52(4), pages 493-513, December.
    2. Yoshio Takane & Hamparsum Bozdogan & Tadashi Shibayama, 1987. "Ideal point discriminant analysis," Psychometrika, Springer;The Psychometric Society, vol. 52(3), pages 371-392, September.
    3. Joseph Bennett & William Hays, 1960. "Multidimensional unfolding: Determining the dimensionality of ranked preference data," Psychometrika, Springer;The Psychometric Society, vol. 25(1), pages 27-43, March.
    4. William Hays & Joseph Bennett, 1961. "Multidimensional unfolding: Determining configuration from complete rank order preference data," Psychometrika, Springer;The Psychometric Society, vol. 26(2), pages 221-238, June.
    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. Kamiya, Hidehiko & Takemura, Akimichi, 2005. "Characterization of rankings generated by linear discriminant analysis," Journal of Multivariate Analysis, Elsevier, vol. 92(2), pages 343-358, February.

    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. Mark Rooij, 2018. "Transitional modeling of experimental longitudinal data with missing values," Advances in Data Analysis and Classification, Springer;German Classification Society - Gesellschaft für Klassifikation (GfKl);Japanese Classification Society (JCS);Classification and Data Analysis Group of the Italian Statistical Society (CLADAG);International Federation of Classification Societies (IFCS), vol. 12(1), pages 107-130, March.
    2. Kamiya, Hidehiko & Takemura, Akimichi, 2005. "Characterization of rankings generated by linear discriminant analysis," Journal of Multivariate Analysis, Elsevier, vol. 92(2), pages 343-358, February.
    3. Hailemichael M. Worku & Mark De Rooij, 2017. "Properties of Ideal Point Classification Models for Bivariate Binary Data," Psychometrika, Springer;The Psychometric Society, vol. 82(2), pages 308-328, June.
    4. J. Davidson, 1972. "A geometrical analysis of the unfolding model: Nondegenerate solutions," Psychometrika, Springer;The Psychometric Society, vol. 37(2), pages 193-216, June.
    5. Budiaji, Weksi, 2012. "Item Response Model from a Distance Perspective," Thesis Commons wcbu9, Center for Open Science.
    6. Krzanowski, W. J., 1995. "Selection of variables, and assessment of their performance, in mixed-variable discriminant analysis," Computational Statistics & Data Analysis, Elsevier, vol. 19(4), pages 419-431, April.
    7. DeSarbo, Wayne S. & Selin Atalay, A. & Blanchard, Simon J., 2009. "A three-way clusterwise multidimensional unfolding procedure for the spatial representation of context dependent preferences," Computational Statistics & Data Analysis, Elsevier, vol. 53(8), pages 3217-3230, June.
    8. Wayne DeSarbo & Vithala Rao, 1984. "GENFOLD2: A set of models and algorithms for the general UnFOLDing analysis of preference/dominance data," Journal of Classification, Springer;The Classification Society, vol. 1(1), pages 147-186, December.
    9. John Horn & Bert Green & J. Carroll & Kenneth Hopkins & James Collins, 1970. "Reviews," Psychometrika, Springer;The Psychometric Society, vol. 35(2), pages 273-282, June.
    10. Ulf Böckenholt & Ingo Böcknholt, 1990. "Canonical analysis of contingency tables with linear constraints," Psychometrika, Springer;The Psychometric Society, vol. 55(4), pages 633-639, December.
    11. Yoshio Takane & Haruo Yanai & Shinichi Mayekawa, 1991. "Relationships among several methods of linearly constrained correspondence analysis," Psychometrika, Springer;The Psychometric Society, vol. 56(4), pages 667-684, December.
    12. Yoshio Takane, 1987. "Analysis of contingency tables by ideal point discriminant analysis," Psychometrika, Springer;The Psychometric Society, vol. 52(4), pages 493-513, December.
    13. Mark Davison, 1976. "Fitting and testing carroll's weighted unfolding model for preferences," Psychometrika, Springer;The Psychometric Society, vol. 41(2), pages 233-247, June.
    14. Wagner Kamakura, 1991. "Estimating flexible distributions of ideal-points with external analysis of preferences," Psychometrika, Springer;The Psychometric Society, vol. 56(3), pages 419-431, September.
    15. Peter Schönemann, 1970. "On metric multidimensional unfolding," Psychometrika, Springer;The Psychometric Society, vol. 35(3), pages 349-366, September.
    16. Anna Brown, 2016. "Item Response Models for Forced-Choice Questionnaires: A Common Framework," Psychometrika, Springer;The Psychometric Society, vol. 81(1), pages 135-160, March.
    17. Willem Heiser, 2004. "Geometric representation of association between categories," Psychometrika, Springer;The Psychometric Society, vol. 69(4), pages 513-545, December.
    18. Mark Davison, 1979. "Testing a unidimensional, qualitative unfolding model for attitudinal or developmental data," Psychometrika, Springer;The Psychometric Society, vol. 44(2), pages 179-194, June.
    19. DeSarbo Wayne S., 2010. "A Spatial Multidimensional Unfolding Choice Model for Examining the Heterogeneous Expressions of Sports Fan Avidity," Journal of Quantitative Analysis in Sports, De Gruyter, vol. 6(2), pages 1-24, April.
    20. George Rabinowitz, 1976. "A procedure for ordering object pairs consistent with the multidimensional unfolding model," Psychometrika, Springer;The Psychometric Society, vol. 41(3), pages 349-373, September.

    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:eee:jmvana:v:61:y:1997:i:1:p:1-28. 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: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/wps/find/journaldescription.cws_home/622892/description#description .

    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.