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One-tailed Type I error rates for balanced two-category UniODA with a random ordered attribute (1997)

Carmony, Lowell A. ; Yarnold, Paul R. ; Naeymi-Rad, Frank

Springer

Annals of operations research 74 (1997), S. 223-238

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ISSN: 1572-9338

Keywords: optimal discriminant analysis ; ordered data ; statistical distribution theory ; mathematical proof

Source: Springer Online Journal Archives 1860-2000

Topics: Mathematics , Economics

Notes: 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.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1023/A:1018922421450

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