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Characterization of rankings generated by linear discriminant analysis

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  • Kamiya, Hidehiko
  • Takemura, Akimichi

Abstract

Pairwise linear discriminant analysis can be regarded as a process to generate rankings of the populations. But in general, not all rankings are generated. We give a characterization of generated rankings. We also derive some basic properties of this model.

Suggested Citation

  • 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.
  • Handle: RePEc:eee:jmvana:v:92:y:2005:i:2:p:343-358
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    References listed on IDEAS

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    2. Yoshio Takane, 1987. "Analysis of contingency tables by ideal point discriminant analysis," Psychometrika, Springer;The Psychometric Society, vol. 52(4), pages 493-513, December.
    3. 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.
    4. Caplin, Andrew S & Nalebuff, Barry J, 1988. "On 64%-Majority Rule," Econometrica, Econometric Society, vol. 56(4), pages 787-814, July.
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