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On Rankings Generated by Pairwise Linear Discriminant Analysis of m Populations

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  • 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
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    References listed on IDEAS

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    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.
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    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.

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