MILANG Journal of Mathematics and Its Applications
Vol. 9 No. 2 (2010): Journal of Mathematics and Its Applications

COMPARING OPTIMISM OF ERROR RATE ESTIMATORS IN DISCRIMINANT ANALYSIS BY MONTE CARLO SIMULATION ON MULTIVARIATE NORMAL DATA

MANGKU, I W. (Unknown)



Article Info

Publish Date
01 Dec 2010

Abstract

The problem considered in this paper is estimation of the error rate in two-group discriminant analysis. Here, performance of 19 existing error rate estimators are compared and contrasted by mean of Monte Carlo simulations under the ideal condition that both parent populations are multivariate normal with common covariance matrix. The criterion used for comparing those error rate estimators is optimism. Five experimental factors are considered for the simulation, they are the number of variables, the sample size relative to the number of variables, the Mahalanobis squared distance between the two populations, dependency factor among variables, and the degree of variation among the elements of the mean vector of the populations. The result of the simulation shows that there is no estimator performing the best for all situations. However, in general, the estimator U¹ proposed by Lachenbruch and Mickey (1968) is the best

Copyrights © 2010






Journal Info

Abbrev

jmap

Publisher

Subject

Mathematics

Description

MILANG Journal of Mathematics and Its Applications publishes original research articles in the broad field of mathematics and its interdisciplinary applications. The journal covers, but is not limited to, the following areas: Mathematics in Informatics, Mathematics in Life Sciences, Mathematics in ...