A New Discordancy Test on a Regression for Cylindrical Data

Sadikon, Nurul Hidayah and Ibrahim, Adriana Irawati Nur and Mohamed, Ibrahim and Pathmanathan, Dharini (2018) A New Discordancy Test on a Regression for Cylindrical Data. Sains Malaysiana, 47 (6). pp. 1319-1326. ISSN 0126-6039, DOI https://doi.org/10.17576/jsm-2018-4706-29.

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Official URL: https://doi.org/10.17576/jsm-2018-4706-29


A cylindrical data set consists of circular and linear variables. We focus on developing an outlier detection procedure for cylindrical regression model proposed by Johnson and Wehrly (1978) based on the k-nearest neighbour approach. The procedure is applied based on the residuals where the distance between two residuals is measured by the Euclidean distance. This procedure can be used to detect single or multiple outliers. Cut-off points of the test statistic are generated and its performance is then evaluated via simulation. For illustration, we apply the test on the wind data set obtained from the Malaysian Meteorological Department.

Item Type: Article
Funders: Ministry of Higher Education, Malaysia under the Fundamental Research Grant Scheme No: FP037-2014B
Uncontrolled Keywords: Circular-linear; cylindrical data; k-nearest neighbour’s distance; outlier
Subjects: Q Science > Q Science (General)
Q Science > QA Mathematics
Divisions: Faculty of Science > Institute of Mathematical Sciences
Depositing User: Ms. Juhaida Abd Rahim
Date Deposited: 08 Apr 2019 07:44
Last Modified: 08 Apr 2019 07:44
URI: http://eprints.um.edu.my/id/eprint/20838

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