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Some diagnostic measures in discriminant analysis

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  • Fung, Wing-Kam

Abstract

We find two fundamental statistics in discriminant analysis on which many influence measures depend. A few other measures are also proposed and discussed. Approximate contours of the measure can be plotted to reveal influence information.

Suggested Citation

  • Fung, Wing-Kam, 1992. "Some diagnostic measures in discriminant analysis," Statistics & Probability Letters, Elsevier, vol. 13(4), pages 279-285, March.
    • Handle: RePEc:eee:stapro:v:13:y:1992:i:4:p:279-285
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    Citations

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    Cited by:

    1. Fung, Wing K., 1995. "Detecting influential observations for estimated probabilities in multiple discriminant analysis," Computational Statistics & Data Analysis, Elsevier, vol. 20(5), pages 557-568, November.
    2. Nyangoma, S.O. & Fung, W.-K. & Jansen, R.C., 2006. "Identifying influential multinomial observations by perturbation," Computational Statistics & Data Analysis, Elsevier, vol. 50(10), pages 2799-2821, June.
    3. Croux, Christophe & Joossens, Kristel, 2005. "Influence of observations on the misclassification probability in quadratic discriminant analysis," Journal of Multivariate Analysis, Elsevier, vol. 96(2), pages 384-403, October.
    4. Huang, Yufen & Cheng, Ching-Ren & Wang, Tai-Ho, 2008. "Pair-perturbation influence functions of nongaussianity by projection pursuit," Computational Statistics & Data Analysis, Elsevier, vol. 52(8), pages 3971-3987, April.
    5. Huang, Yufen & Wang, Sheng-Wen, 2013. "Influence analysis on the direction of optimal response," Statistics & Probability Letters, Elsevier, vol. 83(4), pages 1287-1299.
    6. Steel, S. J. & Louw, N., 2001. "Variable selection in discriminant analysis: measuring the influence of individual cases," Computational Statistics & Data Analysis, Elsevier, vol. 37(2), pages 249-260, August.
    7. Huang, Yufen & Kao, Tzu-Ling & Wang, Tai-Ho, 2007. "Influence functions and local influence in linear discriminant analysis," Computational Statistics & Data Analysis, Elsevier, vol. 51(8), pages 3844-3861, May.
    8. Huang, Yufen & Cheng, Ching-Ren & Wang, Tai-Ho, 2007. "Influence analysis of non-Gaussianity by applying projection pursuit," Statistics & Probability Letters, Elsevier, vol. 77(14), pages 1515-1521, August.

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