One-tailed type I error rates for balanced two-category UniODA with a random ordered attribute

被引:9
作者
Carmony, LA
Yarnold, PR
NaeymiRad, F
机构
[1] LAKE FOREST COLL,DEPT MATH & COMP SCI,LAKE FOREST,IL 60045
[2] NORTHWESTERN UNIV,SCH MED,DIV GEN INTERNAL MED,CHICAGO,IL 60611
[3] UNIV ILLINOIS,DEPT PSYCHOL,CHICAGO,IL 60636
[4] INTELLIGENT MED OBJECTS INC,NORTHBROOK,IL 60062
关键词
optimal discriminant analysis; ordered data; statistical distribution theory; mathematical proof;
D O I
10.1023/A:1018922421450
中图分类号
C93 [管理学]; O22 [运筹学];
学科分类号
070105 ; 12 ; 1201 ; 1202 ; 120202 ;
摘要
Directional (one-tailed) two-category univariable optimal discriminant analysis has proved highly useful for applications involving ordered attributes. An important criterion in the use of this analysis for a given application is the generalized Type I error rate associated with a given level of classification accuracy. The distribution of optima arising from this analysis performed for random data had been discovered earlier, but not proven. This article presents a formal mathematical proof of this theoretical distribution for balanced applications.
引用
收藏
页码:223 / 238
页数:16
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