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Outliers in Circular Data

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  • D. Collett

Abstract

In this paper we investigate problems connected with the appearance of surprising values in samples of univariate data that are circular or directional. We examine how their presence might be detected and describe possible tests of discordancy. The relative performance of the test procedures is investigated using Monte Carlo methods. A practical application of the discordancy tests is included.

Suggested Citation

  • D. Collett, 1980. "Outliers in Circular Data," Journal of the Royal Statistical Society Series C, Royal Statistical Society, vol. 29(1), pages 50-57, March.
    • Handle: RePEc:bla:jorssc:v:29:y:1980:i:1:p:50-57
    DOI: 10.2307/2346410
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    Cited by:

    1. Ali Abuzaid & Ibrahim Mohamed & Abdul Hussin, 2012. "Boxplot for circular variables," Computational Statistics, Springer, vol. 27(3), pages 381-392, September.
    2. S. Liu & T. Ma & A. SenGupta & K. Shimizu & M.-Z. Wang, 2017. "Influence Diagnostics in Possibly Asymmetric Circular-Linear Multivariate Regression Models," Sankhya B: The Indian Journal of Statistics, Springer;Indian Statistical Institute, vol. 79(1), pages 76-93, May.
    3. Mercedes Fernandez Sau & Daniela Rodriguez, 2018. "Minimum distance method for directional data and outlier detection," Advances in Data Analysis and Classification, Springer;German Classification Society - Gesellschaft für Klassifikation (GfKl);Japanese Classification Society (JCS);Classification and Data Analysis Group of the Italian Statistical Society (CLADAG);International Federation of Classification Societies (IFCS), vol. 12(3), pages 587-603, September.
    4. Ali H. Abuzaid, 2020. "Detection of Outliers in Univariate Circular Data by Means of the Outlier Local Factor (LOF)," Statistics in Transition New Series, Polish Statistical Association, vol. 21(3), pages 39-51, September.
    5. Agostinelli, Claudio, 2007. "Robust estimation for circular data," Computational Statistics & Data Analysis, Elsevier, vol. 51(12), pages 5867-5875, August.
    6. Ashis Sengupta & Chandranath Pal, 2001. "On optimal tests for isotropy against the symmetric wrapped stable-circular uniform mixture family," Journal of Applied Statistics, Taylor & Francis Journals, vol. 28(1), pages 129-143.
    7. Abuzaid Ali H., 2020. "Detection of Outliers in Univariate Circular Data by Means of the Outlier Local Factor (LOF)," Statistics in Transition New Series, Polish Statistical Association, vol. 21(3), pages 39-51, September.

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