A. Stam et Dr. Ungar, RAGNU - A MICROCOMPUTER PACKAGE FOR 2-GROUP MATHEMATICAL PROGRAMMING-BASED NONPARAMETRIC CLASSIFICATION, European journal of operational research, 86(2), 1995, pp. 374-388
Citations number
30
Categorie Soggetti
Management,"Operatione Research & Management Science
In this manuscript, we introduce the PC-based software package RAGNU,
a utility program that can be used, in conjunction with the LINDO opti
mization software, for solving two-group classification problems using
a class of recently developed nonparametric methods. The criteria use
d to estimate the classification function are based on either minimizi
ng a function of the absolute deviations from the surface that separat
es the groups, or directly minimizing a function of the number of misc
lassified observations. Since mathematical programming techniques are
efficient tools for analyzing such problems, we will refer to this cla
ss of nonparametric methods as MP-based methods. Recently, a number of
research studies have reported that under certain data conditions MP-
based methods can provide more accurate classification results than ex
isting parametric statistical methods, such as Fisher's linear discrim
inant function and logistic regression. It has also been shown that ex
tensions of the MP-based formulations that incorporate non-linear (e.g
., quadratic) functions of the attribute values are a viable alternati
ve to Smith's quadratic discriminant function. However, these robust M
P-based classification methods have not yet been implemented in the ma
jor statistical packages, and hence are beyond the reach of those stat
istical analysts who are unfamiliar with mathematical programming tech
niques. Currently, only those researchers who have written their own i
nterface software programs are able to use MP-based classification met
hods. Therefore, we believe that RAGNU contributes significantly to th
e field of nonparametric classification analysis, in that it provides
the research community with convenient access to this class of robust
methods. RAGNU is available from the authors without charge.