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Two methods of orthogonally stepwise discrimination and their applications

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Abstract

In this paper, we describe two methods of discrimination based on “MSE ratio” and “regression,” respectively, and an algorithm of orthogonally stepwise discrimination. The method is not limited by the assumption that the sample covariance matrix is not ill-conditioned or singular, and by any assumption about the distribution of each population as well. So, it has wide range of application to various problems, particularly, to the problem of discrimination with both quantitative and qualitative variables. After variables are selected in the procedure of stepwise discrimination, they need not be rejected. Several examples have been calculated by using the method, and the results are quite satisfying.

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References

  • Anderson, T. W., 1984, An Introduction to Multivariate Statistical Analysis, 2nd ed.: Wiley.

  • Gnanadesikan, R., and Kettenring, J. R. 1989, Discriminant Analysis and Clustering: Stat. Sci. v. 4, n. 1, p. 34–69.

    Google Scholar 

  • Lachenbruch, P. A., 1975, Discriminant Analysis, Hafner, New York.

    Google Scholar 

  • Wang Xue-Ren, 1982, Multivariate Statistical Analysis of Geological Data (in Chinese): Science Press, p. 179–206.

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Wang, X., Zhang, J. Two methods of orthogonally stepwise discrimination and their applications. Math Geol 24, 203–218 (1992). https://doi.org/10.1007/BF00897032

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  • DOI: https://doi.org/10.1007/BF00897032

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