ISSN: 2375-3927
International Journal of Mathematical Analysis and Applications  
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Supervised Learning Techniques Based on Fisher and Filter Linear Classification Procedures for Two Groups Problem
International Journal of Mathematical Analysis and Applications
Vol.1 , No. 2, Publication Date: Jul. 7, 2014, Page: 27-30
1529 Views Since July 7, 2014, 611 Downloads Since Apr. 14, 2015
 
 
Authors
 
[1]    

Friday Zinzendoff Okwonu, Department of Mathematics and Computer Science, Delta State University, Abraka, Nigeria.

 
Abstract
 

The conventional Fisher linear discriminant analysis was proposed to investigate separation between two groups of object. This procedure performs optimally if the data set for the two groups is normally distributed and the variance covariance matrices are homoscedastic. When these assumptions are violated, the Fisher’s technique underperforms. To remedy this deficiency, a supervised learning technique based on the Filter linear classification technique is proposed. The comparative classification performance of these techniques is investigated via Monte Carlo Simulation using data set generated from contaminated normal model. The classification results based on the mean of the optimal probability of correct classification indicate that both procedures are unbiased. Although, the analyses revealed that the Filter technique is robust and admissible over the Fisher’s method.


Keywords
 

Classification, Mean Probability, Unbiased, Robust, Admissible


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