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On Median-Based Discriminant Analysis


 
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1. Title Title of document On Median-Based Discriminant Analysis
 
2. Creator Author's name, affiliation, country Roberto N. Padua; ORCID No. 0000-0002-2054-0835. Liceo de Cagayan University, Cagayan de Oro City; Philippines
 
2. Creator Author's name, affiliation, country Rogelio C. Golez, Jr.; Mindanao University of Science and Technology, Cagayan de Oro City; Philippines
 
3. Subject Discipline(s)
 
3. Subject Keyword(s)
 
4. Description Abstract

The paper presents some useful results on the probability of misclassification when the classical linear discriminant function is replaced by a linear median discriminant function. Under a contaminated normal model, results reveal that the median-based discriminant analysis is superior to the classical linear discriminant analysis even with small amount of contamination and when the variance of the contaminating distribution is greater than or equal to 2. The small sample probability of misclassification of the classical linear discriminant analysis with unknown common variance is also derived similar to the derivation of Anderson (1978) who used the score function statistic W.

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Keywords - median, mean, discriminant analysis, misclassification probability

 
5. Publisher Organizing agency, location Liceo de Cagayan University
 
6. Contributor Sponsor(s)
 
7. Date (YYYY-MM-DD) 2014-12-17
 
8. Type Status & genre Peer-reviewed Article
 
8. Type Type
 
9. Format File format PDF
 
10. Identifier Uniform Resource Identifier http://asianscientificjournals.com/publication/index.php/ljher/article/view/663
 
10. Identifier Digital Object Identifier 10.7828/ljher.v10i1.663
 
11. Source Journal/conference title; vol., no. (year) Liceo Journal of Higher Education Research; Vol 10, No 1 (2014): December
 
12. Language English=en en
 
13. Relation Supp. Files
 
14. Coverage Geo-spatial location, chronological period, research sample (gender, age, etc.)
 
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