A computer program for two-group nonparametric discriminant analysis is described here. Based on Bayes' Theorem for probability revision, the statistical rationale for this program makes use of the calculation of maximum likelihood estimates of group membership. A unique feature of the program is the comparison of the classificatory ability of the Bayesian procedure relative to that of the standard Linear Discriminant Function.
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References
1.
Birnbaum, A. and Maxwell, A. E.Classification procedures based on Bayes' formula . Applied Statistics, 1960, 9 , 152-169 .
2.
Chatterjee, S. and Barcun, S.A nonparametric approach to credit screening. Journal of the American Statistical Association, 1970, 65, 150 -154.
3.
Fisher, R. A.The use of multiple measurements in taxonomic problems. Annals of Eugenics, 1936, 7, 179 -188 .
4.
Frank, R. E., Massy, W. F. , and Morrison, D. G.Bias in multiple discriminant analysis. Journal of Marketing Research, 1965, 2, 250-258.
5.
Green, P. E.Bayesian classification procedures in analyzing customer characteristics. Journal of Marketing Research, 1964, 1, 44-50.
6.
Hodges, J. L., Jr.Discriminatory analysis I: Survey of discriminatory analysis. Randolph Field, Texas: USAF School of Aviation Medicine, October, 1950.
7.
Phillip, P. J.On improving the performance of classification techniques. Journal of Experimental Education , 1970, 39, 69-74.
8.
Rao, C. R.Advanced Statistical Methods in Biometric Research. New York. Wiley, 1962.
9.
Welch, B. L.Notes on discriminant functions . Biometrika, 1939, 31 , 218-220 .
