Adjusting outliers in univariate circular data
Circular data analysis is a particular branch of statistics that sits somewhere between the analysis of linear data and the analysis of spherical data. Circular data are used in many scientific fields. The efficiency of the statistical methods that are applied depends on the accuracy of the data in...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Universiti Putra Malaysia Press
2017
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| Online Access: | http://psasir.upm.edu.my/id/eprint/58323/1/08%20JST-0626-2016-2ndProof.pdf |
| _version_ | 1796976877131268096 |
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| author | Mahmood, Ehab A. Rana, Md. Sohel Hussin, Abdul Ghapor Midi, Habshah |
| author_facet | Mahmood, Ehab A. Rana, Md. Sohel Hussin, Abdul Ghapor Midi, Habshah |
| author_sort | Mahmood, Ehab A. |
| collection | UPM |
| description | Circular data analysis is a particular branch of statistics that sits somewhere between the analysis of linear data and the analysis of spherical data. Circular data are used in many scientific fields. The efficiency of the statistical methods that are applied depends on the accuracy of the data in the study. However, circular data may have outliers that cannot be deleted. If this is the case, we have two ways to avoid the effect of outliers. First, we can apply robust methods for statistical estimations. Second, we can adjust the outliers using the other clean data points in the dataset. In this paper, we focus on adjusting outliers in circular data using the circular distance between the circular data points and the circular mean direction. The proposed procedure is tested by applying it to a simulation study and to real data sets. The results show that the proposed procedure can adjust outliers according to the measures used in the paper. |
| first_indexed | 2024-03-06T09:32:03Z |
| format | Article |
| id | upm.eprints-58323 |
| institution | Universiti Putra Malaysia |
| language | English |
| last_indexed | 2024-03-06T09:32:03Z |
| publishDate | 2017 |
| publisher | Universiti Putra Malaysia Press |
| record_format | dspace |
| spelling | upm.eprints-583232018-01-25T08:55:08Z http://psasir.upm.edu.my/id/eprint/58323/ Adjusting outliers in univariate circular data Mahmood, Ehab A. Rana, Md. Sohel Hussin, Abdul Ghapor Midi, Habshah Circular data analysis is a particular branch of statistics that sits somewhere between the analysis of linear data and the analysis of spherical data. Circular data are used in many scientific fields. The efficiency of the statistical methods that are applied depends on the accuracy of the data in the study. However, circular data may have outliers that cannot be deleted. If this is the case, we have two ways to avoid the effect of outliers. First, we can apply robust methods for statistical estimations. Second, we can adjust the outliers using the other clean data points in the dataset. In this paper, we focus on adjusting outliers in circular data using the circular distance between the circular data points and the circular mean direction. The proposed procedure is tested by applying it to a simulation study and to real data sets. The results show that the proposed procedure can adjust outliers according to the measures used in the paper. Universiti Putra Malaysia Press 2017 Article PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/58323/1/08%20JST-0626-2016-2ndProof.pdf Mahmood, Ehab A. and Rana, Md. Sohel and Hussin, Abdul Ghapor and Midi, Habshah (2017) Adjusting outliers in univariate circular data. Pertanika Journal of Science & Technology, 25 (4). pp. 1147-1158. ISSN 0128-7680; ESSN: 2231-8526 http://www.pertanika.upm.edu.my/Pertanika%20PAPERS/JST%20Vol.%2025%20(4)%20Oct.%202017/08%20JST-0626-2016-2ndProof.pdf |
| spellingShingle | Mahmood, Ehab A. Rana, Md. Sohel Hussin, Abdul Ghapor Midi, Habshah Adjusting outliers in univariate circular data |
| title | Adjusting outliers in univariate circular data |
| title_full | Adjusting outliers in univariate circular data |
| title_fullStr | Adjusting outliers in univariate circular data |
| title_full_unstemmed | Adjusting outliers in univariate circular data |
| title_short | Adjusting outliers in univariate circular data |
| title_sort | adjusting outliers in univariate circular data |
| url | http://psasir.upm.edu.my/id/eprint/58323/1/08%20JST-0626-2016-2ndProof.pdf |
| work_keys_str_mv | AT mahmoodehaba adjustingoutliersinunivariatecirculardata AT ranamdsohel adjustingoutliersinunivariatecirculardata AT hussinabdulghapor adjustingoutliersinunivariatecirculardata AT midihabshah adjustingoutliersinunivariatecirculardata |