A new test of discordancy in cylindrical data |
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| Authors: | Nurul Hidayah Sadikon Ibrahim Mohamed Kunio Shimizu |
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| Institution: | 1. Institute of Mathematical Science, University of Malaya, Kuala Lumpur, Malaysia;2. School of Statistical Thinking, The Institute of Statistical Mathematics, Tokyo, Japan |
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| Abstract: | ABSTRACTCylindrical data are bivariate data from the combination of circular and linear variables. However, up to now no work has been done on the detection of outlier in cylindrical data. We introduce a definition of outlier for cylindrical data and present a new test of discordancy to detect outlier in this type of data, based on the k-nearest neighbor’s distance. Cut-off points of the new test statistic based on the Johnson-Wehrly distribution are calculated and its performance is examined using simulation. A practical example is presented using wind speed and wind direction data obtained from the Malaysian Meteorological Department. |
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| Keywords: | Cylindrical data k-nearest neighbor’s distance outlier |
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