Robust circular distance and its application in the identification of outliers in the simple circular regression model
Abstract: Background and Objective: The existence of outliers in any type of data influences the efficiency of an estimator. Few methods for detecting outliers in a simple circular regression model have been proposed in the study but it suspected that they are not very successful in the presence of...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Knowledgia Review, Malaysia
2017
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| Online Access: | http://psasir.upm.edu.my/id/eprint/63145/ http://psasir.upm.edu.my/id/eprint/63145/1/Robust%20circular%20distance%20and%20its%20application%20in%20the%20identification%20of%20outliers%20in%20the%20simple%20.pdf |
| _version_ | 1848854722354610176 |
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| author | Mahmood, Ehab A. Midi, Habshah Rana, Sohel Hussin, Abdul Ghapor |
| author_facet | Mahmood, Ehab A. Midi, Habshah Rana, Sohel Hussin, Abdul Ghapor |
| author_sort | Mahmood, Ehab A. |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | Abstract: Background and Objective: The existence of outliers in any type of data influences the efficiency of an estimator. Few methods for detecting outliers in a simple circular regression model have been proposed in the study but it suspected that they are not very successful in the presence of multiple outliers in a data set. This study aimed to investigate new statistic to identify multiple outliers in the response variable in a simple circular regression model. Materials and Methods: The proposed statistic is based on calculating robust circular distance between circular residuals and circular location parameter. The performance of the proposed statistic is evaluated by the proportion of detected outliers and the rate of masking and swamping. The simulation study is applied for different sample sizes at 10 and 20% ratios of contamination. Results: The results from simulated data showed that the proposed statistic has the highest proportion of outliers and the lowest rate of masking comparing with some existing methods. Conclusion: The proposed statistic is very successful in detecting outliers with negligible amount of masking and swamping rates. |
| first_indexed | 2025-11-15T11:14:23Z |
| format | Article |
| id | upm-63145 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T11:14:23Z |
| publishDate | 2017 |
| publisher | Knowledgia Review, Malaysia |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-631452018-08-16T01:34:16Z http://psasir.upm.edu.my/id/eprint/63145/ Robust circular distance and its application in the identification of outliers in the simple circular regression model Mahmood, Ehab A. Midi, Habshah Rana, Sohel Hussin, Abdul Ghapor Abstract: Background and Objective: The existence of outliers in any type of data influences the efficiency of an estimator. Few methods for detecting outliers in a simple circular regression model have been proposed in the study but it suspected that they are not very successful in the presence of multiple outliers in a data set. This study aimed to investigate new statistic to identify multiple outliers in the response variable in a simple circular regression model. Materials and Methods: The proposed statistic is based on calculating robust circular distance between circular residuals and circular location parameter. The performance of the proposed statistic is evaluated by the proportion of detected outliers and the rate of masking and swamping. The simulation study is applied for different sample sizes at 10 and 20% ratios of contamination. Results: The results from simulated data showed that the proposed statistic has the highest proportion of outliers and the lowest rate of masking comparing with some existing methods. Conclusion: The proposed statistic is very successful in detecting outliers with negligible amount of masking and swamping rates. Knowledgia Review, Malaysia 2017 Article PeerReviewed text en http://psasir.upm.edu.my/id/eprint/63145/1/Robust%20circular%20distance%20and%20its%20application%20in%20the%20identification%20of%20outliers%20in%20the%20simple%20.pdf Mahmood, Ehab A. and Midi, Habshah and Rana, Sohel and Hussin, Abdul Ghapor (2017) Robust circular distance and its application in the identification of outliers in the simple circular regression model. Asian Journal of Applied Sciences, 10 (3). 126 - 133. ISSN 1996-3343 10.3923/ajaps.2017.126.133 |
| spellingShingle | Mahmood, Ehab A. Midi, Habshah Rana, Sohel Hussin, Abdul Ghapor Robust circular distance and its application in the identification of outliers in the simple circular regression model |
| title | Robust circular distance and its application in the identification of outliers in the simple circular regression model |
| title_full | Robust circular distance and its application in the identification of outliers in the simple circular regression model |
| title_fullStr | Robust circular distance and its application in the identification of outliers in the simple circular regression model |
| title_full_unstemmed | Robust circular distance and its application in the identification of outliers in the simple circular regression model |
| title_short | Robust circular distance and its application in the identification of outliers in the simple circular regression model |
| title_sort | robust circular distance and its application in the identification of outliers in the simple circular regression model |
| url | http://psasir.upm.edu.my/id/eprint/63145/ http://psasir.upm.edu.my/id/eprint/63145/ http://psasir.upm.edu.my/id/eprint/63145/1/Robust%20circular%20distance%20and%20its%20application%20in%20the%20identification%20of%20outliers%20in%20the%20simple%20.pdf |