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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Format: | Article |
Language: | English |
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Research India Publications
2016
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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. |
first_indexed | 2024-07-04T06:17:57Z |
format | Article |
id | uum-21574 |
institution | Universiti Utara Malaysia |
language | English |
last_indexed | 2024-07-04T06:17:57Z |
publishDate | 2016 |
publisher | Research India Publications |
record_format | eprints |
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 |
work_keys_str_mv | AT hamidhashibah variableextractionsusingprincipalcomponentanalysisandmultiplecorrespondenceanalysisforlargenumberofmixedvariablesclassificationproblems AT aziznazrina variableextractionsusingprincipalcomponentanalysisandmultiplecorrespondenceanalysisforlargenumberofmixedvariablesclassificationproblems AT ngupennyaihuong variableextractionsusingprincipalcomponentanalysisandmultiplecorrespondenceanalysisforlargenumberofmixedvariablesclassificationproblems |