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Two Group Linear Discrimination Based on Transvariation Measures

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Advances in Data Science and Classification

Abstract

In this paper we derive a two group-linear discriminant function (LDF) by minimizing Gini’s transvariation probability. This solution is a special case of projection pursuit methods and improves the performances of Fisher’s LDF when the conditions which guarantee its optimality do not hold.

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References

  • Anderson, T. W. & Bahadur, R. R. (1962). Classification into two multivariate normal populations with different covariance matrices, Annals of Mathematical Statistics, 33, 420–431.

    Article  Google Scholar 

  • Fisher, R. A. (1936). The use of multiple measurements in taxonomic problems, Annals of Eugenics, 7, 179–188.

    Article  Google Scholar 

  • Gini, C. (1916). II concetto di transvariazione e le sue prime applicazioni, Giornale degli economisti and Rivista di statistica, and in Gini, C. (1959).

    Google Scholar 

  • Gini, C. (1959). Transvariazione, Libreria Goliardica, Roma (Ottaviani G. ed.).

    Google Scholar 

  • Huber, P. J. (1985). Projection Pursuit (with discussion), The Annals of Statistics, 13, 435–475.

    Article  Google Scholar 

  • Krzanowski, W. J. & Marriott, F. H. C. (1995). Multivariate Analysis, Part 2, Arnold, London

    Google Scholar 

  • Montanari, A. & Calò, D. G. (1998). Una rilettura, in termini di tranvariazione, dell’analisi discriminante lineare, XXXIX Riunione Scientifica della Società Italiana di Statistica, in press.

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  • Posse, C. (1992). Projection Pursuit Discriminant Analysis for two groups, Communications in Statistics, Theory and Methods, 21 (1), 1–19.

    Article  Google Scholar 

  • Salvemini, T. Transvariazione e analisi discriminatoria, in Gini, C. (1959).

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© 1998 Springer-Verlag Berlin · Heidelberg

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Montanari, A., Calò, D.G. (1998). Two Group Linear Discrimination Based on Transvariation Measures. In: Rizzi, A., Vichi, M., Bock, HH. (eds) Advances in Data Science and Classification. Studies in Classification, Data Analysis, and Knowledge Organization. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-72253-0_35

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  • DOI: https://doi.org/10.1007/978-3-642-72253-0_35

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-64641-9

  • Online ISBN: 978-3-642-72253-0

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