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Two methods of orthogonally stepwise discrimination and their applications
Authors:Xueren Wang and Jin Zhang
Institution:(1) Applied Statistics Institute of Yunnan University, 650031 Kunming, P. R. China
Abstract:In this paper, we describe two methods of discrimination based on ldquoMSE ratiordquo and ldquoregression,rdquo 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.
Keywords:discrimination  population  orthogonally stepwise discrimination
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