A comparison between two discordancy tests to identify outlier in wrapped normal (WN) samples
Document Type
Article
Publication Date
7-1-2023
Abstract
This study focuses on comparing the performance of the Robust Circular Distance (RCDU*) (simplified version) and A statistics in detecting a single outlier in the Wrapped Normal (WN) samples. Firstly, this study proposes a simplified version of RCDU statistic. Then, the paper generates the cut-off points for both statistics taken from WN samples via a simulation study. This study also evaluates the performance of both statistics using the proportion of a correct outlier detection. As a result, for a small sample size, the performance of RCDU* and A statistics do not have a huge difference. However, for a large sample size of n=250, A statistic performs slightly better than RCDU* statistic. As an illustration of a practical example, both statistics successfully detected one outlier present in the wind direction data at Kota Bharu station.
Keywords
Circular data, Discordancy tests, Outliers, Wrapped normal distribution
Divisions
MathematicalSciences
Funders
Science and Technology Development Fund (STDF) Ministry of Higher Education & Scientific Research (MHESR) Ministry of Higher Education, Research & Innovation, Oman FRGS/1/2019/STG06/UITM/02/1,Pembiayaan Yuran Penerbitan Artikel (PYPA) scheme
Publication Title
Sains Malaysiana
Volume
52
Issue
7
Publisher
Penerbit Universiti Kebangsaan Malaysia
Publisher Location
-, BANGI, SELANGOR 43600, MALAYSIA