The circular regression model may contain one or more data points which appear to be peculiar or inconsistent with the main part of the model. This may be occur due to recording errors, sudden short events, sampling under abnormal conditions etc. The existence of these data points “outliers” in the data set cause lot of problems in the research results and the conclusions. Therefore, we should identify them before applying statistical analysis. In this article, we aim to propose a statistic to identify outliers in the both of the response and explanatory variables of the simple circular regression model. Our proposed statistic is robust circular distance RCDxy and it is justified by the three robust measurements such as proportion of detection outliers, masking and swamping rates.
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2 June 2016
INNOVATIONS THROUGH MATHEMATICAL AND STATISTICAL RESEARCH: Proceedings of the 2nd International Conference on Mathematical Sciences and Statistics (ICMSS2016)
26–28 January 2016
Kuala Lumpur, Malaysia
Research Article|
June 02 2016
Detection of outliers in the response and explanatory variables of the simple circular regression model Available to Purchase
Ehab A. Mahmood;
Ehab A. Mahmood
a)
1Department of Mathematics, Faculty of Science,
Universiti Putra Malaysia
, 43400 UPM Serdang, Selangor, Malaysia
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Sohel Rana;
Sohel Rana
b)
1Department of Mathematics, Faculty of Science,
Universiti Putra Malaysia
, 43400 UPM Serdang, Selangor, Malaysia
2Institute for Mathematical Research,
Universiti Putra Malaysia
, 43400 UPM Serdang, Selangor, Malaysia
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Abdul Ghapor Hussin;
Abdul Ghapor Hussin
c)
3Faculty of Defence Science and Technology,
National Defence University of Malaysia
, Kuala Lumpur, Malaysia
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Habshah Midi
Habshah Midi
d)
1Department of Mathematics, Faculty of Science,
Universiti Putra Malaysia
, 43400 UPM Serdang, Selangor, Malaysia
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Ehab A. Mahmood
1,a)
Sohel Rana
1,2,b)
Abdul Ghapor Hussin
3,c)
Habshah Midi
1,d)
1Department of Mathematics, Faculty of Science,
Universiti Putra Malaysia
, 43400 UPM Serdang, Selangor, Malaysia
2Institute for Mathematical Research,
Universiti Putra Malaysia
, 43400 UPM Serdang, Selangor, Malaysia
3Faculty of Defence Science and Technology,
National Defence University of Malaysia
, Kuala Lumpur, Malaysia
b)
Corresponding author: [email protected]
AIP Conf. Proc. 1739, 020081 (2016)
Citation
Ehab A. Mahmood, Sohel Rana, Abdul Ghapor Hussin, Habshah Midi; Detection of outliers in the response and explanatory variables of the simple circular regression model. AIP Conf. Proc. 2 June 2016; 1739 (1): 020081. https://doi.org/10.1063/1.4952561
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