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

Lowell Carmony, Paul Yarnold and Frank Naeymi-Rad

Annals of Operations Research, 1997, vol. 74, issue 0, 223-238

Abstract: 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. Copyright Kluwer Academic Publishers 1997

Keywords: optimal discriminant analysis; ordered data; statistical distribution theory; mathematical proof (search for similar items in EconPapers)
Date: 1997
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DOI: 10.1023/A:1018922421450

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