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Boxplot for circular variables

Show simple item record Abuzaid, Ali Mohamed, IB Hussin, AG 2019-11-24T18:11:08Z 2019-11-24T18:11:08Z 2012-09-01
dc.identifier.issn 0943-4062
dc.description.abstract A boxplot is a simple and flexible graphical tool which has been widely used in exploratory data analysis. One of its main applications is to identify extreme values and outliers in a univariate data set. While the boxplot is useful for a real line data set, it is not suitable for a circular data set due to the fact that there is no natural ordering of circular observations. In this paper, we propose a boxplot version for a circular data set, called the circular boxplot. The problem of finding the appropriate circular boxplot criterion of the form ν × CIQR, where CIQR is the circular interquartile range and ν is the resistant constant, is investigated through a simulation study. As might be expected, we find that the choice of ν depends on the value of the concentration parameter κ. Another simulation study is done to investigate the performance of the circular boxplot in detecting a single outlier. Our results show that the circular boxplot performs better when both the value of κ and the sample size are larger. We develop a visual display for the circular boxplot in S-Plus and illustrate its application using two real circular data sets. en_US
dc.language.iso en_US en_US
dc.publisher Computational Statistics en_US
dc.subject Circular boxplot, Boxplot, Resistant constant, Outlier, Overlapping en_US
dc.title Boxplot for circular variables en_US
dc.type Article en_US

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