AN EXPERIMENTAL COMPARISON OF STATISTICAL AND LINEAR PROGRAMMING APPROACHES TO THE DISCRIMINANT PROBLEM

作者: Steve M. Bajgier , Arthur V. Hill

DOI: 10.1111/J.1540-5915.1982.TB01185.X

关键词:

摘要: This paper reports the results of an experimental comparison three linear programming approaches and Fisher procedure for discriminant problem. The include two formulations proposed by Freed Glover a newly mixed-integer, goal formulation. Ten test problems were generated each 36 cells in three-factor, full-factorial design. Each problem consisted 30-case estimation sample 1,000-case holdout sample. Experimental indicate that four was statistically preferable certain Sample-based rules are suggested selecting approach based on Hotelling's T2 Box's M statistics. Subject Areas: Statistical Techniques, Linear Models, Programming.

参考文章(31)
Jonathan I. Silberman, Garey C. Durden, Determining Legislative Preferences on the Minimum Wage: An Economic Approach Journal of Political Economy. ,vol. 84, pp. 317- 329 ,(1976) , 10.1086/260434
T. W. Anderson, R. R. Bahadur, Classification into two Multivariate Normal Distributions with Different Covariance Matrices Annals of Mathematical Statistics. ,vol. 33, pp. 420- 431 ,(1962) , 10.1214/AOMS/1177704568
Ned Glick, Sample-Based Classification Procedures Derived from Density Estimators Journal of the American Statistical Association. ,vol. 67, pp. 116- 122 ,(1972) , 10.1080/01621459.1972.10481213
C. W. CLUNIES-ROSS, R. H. RIFFENBURGH, Geometry and linear discrimination Biometrika. ,vol. 47, pp. 185- 189 ,(1960) , 10.1093/BIOMET/47.1-2.185
H. Linhart, Techniques for discriminant analysis with discrete variables Metrika. ,vol. 2, pp. 138- 149 ,(1959) , 10.1007/BF02613730
Peter A. Lachenbruch, Cheryl Sneeringer, Lawrence T. Revo, Robustness of the linear and quadratic discriminant function to certain types of non‐normality Communications in Statistics. ,vol. 1, pp. 39- 56 ,(1973) , 10.1080/03610927308827006
Harold Bierman, Warren H. Hausman, The Credit Granting Decision Management Science. ,vol. 16, pp. 519- 532 ,(1970) , 10.1287/MNSC.16.8.B519
William G. Cochran, On the Performance of the Linear Discriminant Function Technometrics. ,vol. 6, pp. 179- 190 ,(1964) , 10.1080/00401706.1964.10490162
Stuart C. Schwartz, Estimation of Probability Density by an Orthogonal Series Annals of Mathematical Statistics. ,vol. 38, pp. 1261- 1265 ,(1967) , 10.1214/AOMS/1177698795