Skip to content

Research at St Andrews

Consequences of grouped data for testing for departure from circular uniformity

Research output: Contribution to journalArticle

DOI

Open Access permissions

Open

Author(s)

Rosalind K Humphreys, Graeme Douglas Ruxton

School/Research organisations

Abstract

Limits to the precision of circular data often cause grouping of data points into discrete categories; but the effects of grouping on tests for circular uniformity have been little explored. The Rayleigh test is often applied to grouped circular data, despite it being designed for continuous data and the statistical literature recommending a suite of alternative tests specifically designed for grouped data. Here we investigated the performance of the Rayleigh test relative to four alternatives for testing the null hypothesis of uniformity in grouped circular data. We employed simulations grouping data into a discrete number of same-sized categories, and with samples drawn from a range of different distributions. We found that grouping had little effect on the type I error rate or the power of the Rayleigh test, and that the power of the Rayleigh test was very similar to that of the previously-recommended alternative tests designed specifically for grouped circular data. It may thus be appropriate to apply the Rayleigh test to grouped data, providing the situation is one in which the test has substantial statistical power.
Close

Details

Original languageEnglish
Article number167
Number of pages7
JournalBehavioral Ecology and Sociobiology
Volume71
Early online date28 Oct 2017
DOIs
StatePublished - Nov 2017

    Research areas

  • Chi-squared test, Kolmogorov-Smirnov test, Ordered categories, Periodic data, Rayleigh test

Discover related content
Find related publications, people, projects and more using interactive charts.

View graph of relations

Related by author

  1. Mixed-species aggregations in arthropods

    Boulay, J., Aubernon, C., Ruxton, G. D., Hédouin, V., Deneubourg, J-L. & Charabidzé, D. 5 Oct 2017 In : Insect Science. Early View

    Research output: Contribution to journalReview article

  2. A continued role for signalling functions in the early evolution of feathers

    Ruxton, G. D., Persons IV, W. S. & Currie, P. J. Mar 2017 In : Evolution. 71, 3, p. 797-799 3 p.

    Research output: Contribution to journalArticle

  3. Intrafamily and intragenomic conflicts in human warfare

    Micheletti, A. J. C., Ruxton, G. D. & Gardner, A. 22 Feb 2017 In : Proceedings of the Royal Society B: Biological Sciences. 284, 1849, 10 p.

    Research output: Contribution to journalArticle

  4. A recipe for scavenging in vertebrates - the natural history of a behaviour

    Kane, A., Healy, K., Guillerme, T., Ruxton, G. D. & Jackson, A. L. 1 Feb 2017 In : Ecography. 40, 2, p. 324-334 11 p.

    Research output: Contribution to journalReview article

Related by journal

  1. Domestic violence shapes Colombian women’s partner choices

    Borras Guevara, M. L., Batres, C. & Perrett, D. I. 19 Nov 2017 In : Behavioral Ecology and Sociobiology. 71, 12, 175

    Research output: Contribution to journalArticle

  2. Vocal foragers and silent crowds: context-dependent vocal variation in Northeast Atlantic long-finned pilot whales

    Visser, F., Kok, A. C. M., Oudejans, M. G., Scott-Hayward, L. A. S., DeRuiter, S. L., Alves, A. C., Antunes, R. N., Isojunno, S., Pierce, G. J., Slabbekoorn, H., Huisman, J. & Miller, P. J. O. 6 Nov 2017 In : Behavioral Ecology and Sociobiology. 71, 13 p., 170

    Research output: Contribution to journalArticle

Related by journal

  1. Behavioral Ecology and Sociobiology (Journal)

    Arso Civil, M. (Reviewer)
    15 Dec 2016 → …

    Activity: Publication peer-review and editorial workPeer review of manuscripts

  2. Behavioral Ecology and Sociobiology (Journal)

    Rendell, L. E. (Editor)
    2015 → …

    Activity: Publication peer-review and editorial workEditor of research journal

  3. Behavioral Ecology and Sociobiology (Journal)

    Kate Arnold (Reviewer)
    2007 → …

    Activity: Publication peer-review and editorial workPeer review of manuscripts

  4. Behavioral Ecology and Sociobiology (Journal)

    Janik, V. (Member of editorial board)
    20052014

    Activity: Publication peer-review and editorial workEditor of research journal

  5. Behavioral Ecology and Sociobiology (Journal)

    Magurran, A. (Editor)
    19972002

    Activity: Publication peer-review and editorial workEditor of research journal

ID: 251361243