COVRATIO statistic as a discrimination method for multivariate normal distribution
The COVRATIO statistic has been used to identify the presence of outlier in data, which is based on deletion approach, where the determinant of covariance matrix for the full dataset excludes i-th row. This study proposes a novel discrimination method for the multivariate normal (MVN) distribution u...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Penerbit Universiti Kebangsaan Malaysia
2021
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| Online Access: | http://journalarticle.ukm.my/17567/1/21.pdf |
| _version_ | 1796932677059739648 |
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| author | Norli Anida Abdullah, Yong Zulina Zubairi, Afera Mohamad Apandi, Mohd Iqbal Shamsudheen, |
| author_facet | Norli Anida Abdullah, Yong Zulina Zubairi, Afera Mohamad Apandi, Mohd Iqbal Shamsudheen, |
| author_sort | Norli Anida Abdullah, |
| collection | UKM |
| description | The COVRATIO statistic has been used to identify the presence of outlier in data, which is based on deletion approach, where the determinant of covariance matrix for the full dataset excludes i-th row. This study proposes a novel discrimination method for the multivariate normal (MVN) distribution using the idea of COVRATIO statistic, denoted as COVRATIO(+i). The linear discrimination function (LDF) for MVN distribution will be compared to the COVRATIO(+i) statistic. Simulation results showed that the COVRATIO(+i) as discrimination method performs better than the LDF with lower misclassification probabilities in all cases considered. The interest in the discrimination method arose in connection with the study of an application to discriminate the shape of the human maxillary dental arches, thus COVRATIO(+i) statistic may be considered as an alternative. |
| first_indexed | 2024-03-06T04:36:06Z |
| format | Article |
| id | ukm.eprints-17567 |
| institution | Universiti Kebangsaan Malaysia |
| language | English |
| last_indexed | 2024-03-06T04:36:06Z |
| publishDate | 2021 |
| publisher | Penerbit Universiti Kebangsaan Malaysia |
| record_format | dspace |
| spelling | ukm.eprints-175672021-11-15T03:48:39Z http://journalarticle.ukm.my/17567/ COVRATIO statistic as a discrimination method for multivariate normal distribution Norli Anida Abdullah, Yong Zulina Zubairi, Afera Mohamad Apandi, Mohd Iqbal Shamsudheen, The COVRATIO statistic has been used to identify the presence of outlier in data, which is based on deletion approach, where the determinant of covariance matrix for the full dataset excludes i-th row. This study proposes a novel discrimination method for the multivariate normal (MVN) distribution using the idea of COVRATIO statistic, denoted as COVRATIO(+i). The linear discrimination function (LDF) for MVN distribution will be compared to the COVRATIO(+i) statistic. Simulation results showed that the COVRATIO(+i) as discrimination method performs better than the LDF with lower misclassification probabilities in all cases considered. The interest in the discrimination method arose in connection with the study of an application to discriminate the shape of the human maxillary dental arches, thus COVRATIO(+i) statistic may be considered as an alternative. Penerbit Universiti Kebangsaan Malaysia 2021-07 Article PeerReviewed application/pdf en http://journalarticle.ukm.my/17567/1/21.pdf Norli Anida Abdullah, and Yong Zulina Zubairi, and Afera Mohamad Apandi, and Mohd Iqbal Shamsudheen, (2021) COVRATIO statistic as a discrimination method for multivariate normal distribution. Sains Malaysiana, 50 (7). pp. 2079-2084. ISSN 0126-6039 https://www.ukm.my/jsm/malay_journals/jilid50bil7_2021/KandunganJilid50Bil7_2021.html |
| spellingShingle | Norli Anida Abdullah, Yong Zulina Zubairi, Afera Mohamad Apandi, Mohd Iqbal Shamsudheen, COVRATIO statistic as a discrimination method for multivariate normal distribution |
| title | COVRATIO statistic as a discrimination method for multivariate normal distribution |
| title_full | COVRATIO statistic as a discrimination method for multivariate normal distribution |
| title_fullStr | COVRATIO statistic as a discrimination method for multivariate normal distribution |
| title_full_unstemmed | COVRATIO statistic as a discrimination method for multivariate normal distribution |
| title_short | COVRATIO statistic as a discrimination method for multivariate normal distribution |
| title_sort | covratio statistic as a discrimination method for multivariate normal distribution |
| url | http://journalarticle.ukm.my/17567/1/21.pdf |
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