Variable extractions using principal component analysis and multiple correspondence analysis for large number of mixed variables classification problems

Non-parametric smoothed location model is another powerful approach which can be used to discriminate the objects that contain both continuous and binary variables.However, the smoothed location model is infeasible in estimating parameters when a large number of binary variables involved in the stud...

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Main Authors: Hamid, Hashibah, Aziz, Nazrina, Ngu, Penny Ai Huong
Format: Article
Language:English
Published: Research India Publications 2016
Subjects:
Online Access:https://repo.uum.edu.my/id/eprint/21574/1/GJPAM%2012%206%202016%205027%205038.pdf
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author Hamid, Hashibah
Aziz, Nazrina
Ngu, Penny Ai Huong
author_facet Hamid, Hashibah
Aziz, Nazrina
Ngu, Penny Ai Huong
author_sort Hamid, Hashibah
collection UUM
description Non-parametric smoothed location model is another powerful approach which can be used to discriminate the objects that contain both continuous and binary variables.However, the smoothed location model is infeasible in estimating parameters when a large number of binary variables involved in the study.To handle this issue, the combination of two variable extraction techniques namely principal component analysis (PCA) and multiple correspondence analysis (MCA) are carried out before the construction of the smoothed location model. In fact, there are four types of MCA but only Indicator MCA and joint correspondence analysis (JCA) will be discussed in this article.Thus, the performance of the smoothed location model together with combination of PCA and two types of MCA, i.e. Indicator MCA and JCA, will be compared and evaluated.The overall results from simulation study show that the smoothed location model performed better when the binary extraction is done by JCA rather than the Indicator MCA in terms of misclassification rate and computational efficiency.
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spelling uum-215742017-04-16T04:12:31Z https://repo.uum.edu.my/id/eprint/21574/ Variable extractions using principal component analysis and multiple correspondence analysis for large number of mixed variables classification problems Hamid, Hashibah Aziz, Nazrina Ngu, Penny Ai Huong QA Mathematics Non-parametric smoothed location model is another powerful approach which can be used to discriminate the objects that contain both continuous and binary variables.However, the smoothed location model is infeasible in estimating parameters when a large number of binary variables involved in the study.To handle this issue, the combination of two variable extraction techniques namely principal component analysis (PCA) and multiple correspondence analysis (MCA) are carried out before the construction of the smoothed location model. In fact, there are four types of MCA but only Indicator MCA and joint correspondence analysis (JCA) will be discussed in this article.Thus, the performance of the smoothed location model together with combination of PCA and two types of MCA, i.e. Indicator MCA and JCA, will be compared and evaluated.The overall results from simulation study show that the smoothed location model performed better when the binary extraction is done by JCA rather than the Indicator MCA in terms of misclassification rate and computational efficiency. Research India Publications 2016 Article PeerReviewed application/pdf en https://repo.uum.edu.my/id/eprint/21574/1/GJPAM%2012%206%202016%205027%205038.pdf Hamid, Hashibah and Aziz, Nazrina and Ngu, Penny Ai Huong (2016) Variable extractions using principal component analysis and multiple correspondence analysis for large number of mixed variables classification problems. Global Journal of Pure and Applied Mathematics, 12 (6). pp. 5027-5038. ISSN 0973-1768 http://www.ripublication.com/gjpam16/gjpamv12n6_30.pdf
spellingShingle QA Mathematics
Hamid, Hashibah
Aziz, Nazrina
Ngu, Penny Ai Huong
Variable extractions using principal component analysis and multiple correspondence analysis for large number of mixed variables classification problems
title Variable extractions using principal component analysis and multiple correspondence analysis for large number of mixed variables classification problems
title_full Variable extractions using principal component analysis and multiple correspondence analysis for large number of mixed variables classification problems
title_fullStr Variable extractions using principal component analysis and multiple correspondence analysis for large number of mixed variables classification problems
title_full_unstemmed Variable extractions using principal component analysis and multiple correspondence analysis for large number of mixed variables classification problems
title_short Variable extractions using principal component analysis and multiple correspondence analysis for large number of mixed variables classification problems
title_sort variable extractions using principal component analysis and multiple correspondence analysis for large number of mixed variables classification problems
topic QA Mathematics
url https://repo.uum.edu.my/id/eprint/21574/1/GJPAM%2012%206%202016%205027%205038.pdf
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AT ngupennyaihuong variableextractionsusingprincipalcomponentanalysisandmultiplecorrespondenceanalysisforlargenumberofmixedvariablesclassificationproblems