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dc.contributor.authorHumphreys, Rosalind Kay
dc.contributor.authorRuxton, Graeme Douglas
dc.identifier.citationHumphreys , R K & Ruxton , G D 2017 , ' Consequences of grouped data for testing for departure from circular uniformity ' , Behavioral Ecology and Sociobiology , vol. 71 , 167 .
dc.identifier.otherPURE: 251361243
dc.identifier.otherPURE UUID: d1b73a04-5efd-4102-b200-e3a4d9490c88
dc.identifier.otherScopus: 85032481272
dc.identifier.otherORCID: /0000-0001-7266-7523/work/48774959
dc.identifier.otherORCID: /0000-0001-8943-6609/work/60427495
dc.identifier.otherWOS: 000413968300001
dc.description.abstractLimits 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.
dc.relation.ispartofBehavioral Ecology and Sociobiologyen
dc.rights© The Author(s) 2017. This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (, which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.en
dc.subjectChi-squared testen
dc.subjectKolmogorov-Smirnov testen
dc.subjectOrdered categoriesen
dc.subjectPeriodic dataen
dc.subjectRayleigh testen
dc.subjectQA Mathematicsen
dc.subjectQH301 Biologyen
dc.titleConsequences of grouped data for testing for departure from circular uniformityen
dc.typeJournal articleen
dc.description.versionPublisher PDFen
dc.contributor.institutionUniversity of St Andrews. School of Biologyen
dc.contributor.institutionUniversity of St Andrews. Centre for Biological Diversityen
dc.description.statusPeer revieweden

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