A New Test of Discordancy in Circular Data

Abstract

In this article, we present an alternative test of discordancy in samples of univariate circular data. The new technique is based on the effect of existence of an outlier on the summation of circular distances of the point of interest to all other points. The percentage points are calculated and the performance is examined. We compare the performance of the test in detecting an outlier with other tests and show that the new approach performs relatively better than other known tests. As an illustration a practical example is presented.

Keywords:

• Circular distance
• Circular sample
• Discordancy
• Outlier
• von Mises distribution

Mathematics Subject Classification:

• 62H11

Acknowledgments

The authors thank the Associate Editors and the referee for their valuable comments and suggestions.

Notes

¹The upper and lower rows refer to 5% and 10%, respectively.