This paper illustrates the usefulness of a variable selection technique when the linear discriminant function is used to develop a classification rule. A stepwise technique is given together with an illustration of how the expected loss can be reduced using fewer variables.
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References
1.
Anderson, T. W.An introduction to multivariate statistical analysis. New York. John Wiley and Sons, 1958.
2.
Bargmann, R. E.Introduction and use of a generalized discriminant function. S. N. Roy Memorial Volume, Chapel Hill, 1967.
3.
Health Sciences Computing Facility, BMD Program Package (BMD07M, University of California at Los Angeles Medical School, 1971.
4.
Henschke, C.Manpower systems and classification theory. University of Georgia, PhD dissertation, 1969.
5.
Henschke-Mason, C.The generalized linear discriminant classification rule and computer program. Technical Report No. 59, Department of Statistics, University of Georgia, 1971.
6.
Horton, I. F., Russell, J. S., and Moore, A. N.Multivariate-covariance and canonical analysis: A method of selecting the most effective discriminators in a multivariate situation. Biometrics, 1968, 24, 4.
7.
Lissitz, R. W. and Henschke-Mason, C.The selection of independent variables and prior probabilities as a factor influencing the accuracy of classifying individuals to existing groups. Multivariate Behavioral Research.
8.
Lohnes, P. R. and Gribbons, W. D.The Markov Chain as null hypothesis in a development survey. Journal of Educational Measurement, 1970, 7, 25-32.
9.
Miller, R. G.Selection variables for multiple discriminant analysis. AFCRC-TR-254, Final Report, Contract AF19(604-3878, The Travelers Weather Research Center, Hartford, Connecticut , 1960.
10.
Pearson, E. S. and Hartley, H. O. (Eds.) Biometrika tables for statisticians, Vol. 1, 3rd edition, Cambridge, University Press, 1966 .
11.
Rao, C. R.Advanced statistical methods in biometric research: New York, John Wiley and Sons, 1952.
12.
Roy, S. N.Some aspects of multivariate analysis, New York: John Wiley and Sons, 1957.
13.
Rulon, P. J., Tiedeman, D. V., Tatsuoka, M. M., and Langmuir, C. R.Multivariate statistics for personal classification, New York: John Wiley and Sons, Inc., 1967.
14.
Schwartz, R.A conversational unit for hierarchical discriminant. Themis Report No. 13, Department of Statistics and Computer Science, The University of Georgia, Athens, Georgia, 1971.
15.
Wilks, S. S.Mathematical statistics. New York: John Wiley and Sons, Inc., 1962.
16.
Williams, E. J.Regression analysis, New York: John Wiley and Sons, Inc., 1959.
