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dc.contributor.authorLandler, Lukas
dc.contributor.authorRuxton, Graeme D.
dc.contributor.authorMalkemper, E. Pascal
dc.identifier.citationLandler , L , Ruxton , G D & Malkemper , E P 2021 , ' Advice on comparing two independent samples of circular data in biology ' , Scientific Reports , vol. 11 , 20337 .
dc.identifier.otherPURE: 276280655
dc.identifier.otherPURE UUID: 0658467c-857a-43df-b81c-25d1c942207a
dc.identifier.otherJisc: eedcc9b78c5a409fb85476cc970c8452
dc.identifier.otherpublisher-id: s41598-021-99299-5
dc.identifier.othermanuscript: 99299
dc.identifier.otherORCID: /0000-0001-8943-6609/work/101581595
dc.identifier.otherScopus: 85117379852
dc.identifier.otherWOS: 000707032500072
dc.descriptionLL is supported by the Austrian Science Fund (FWF, Grant Number: P32586). EPM receives funding from the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation program (Grant Agreement No 948728). This research was funded in whole, or in part, by the Austrian Science Fund (FWF) P32586.en
dc.description.abstractMany biological variables are recorded on a circular scale and therefore need different statistical treatment. A common question that is asked of such circular data involves comparison between two groups: Are the populations from which the two samples are drawn differently distributed around the circle? We compared 18 tests for such situations (by simulation) in terms of both abilities to control Type-I error rate near the nominal value, and statistical power. We found that only eight tests offered good control of Type-I error in all our simulated situations. Of these eight, we were able to identify the Watson’s U2 test and a MANOVA approach, based on trigonometric functions of the data, as offering the best power in the overwhelming majority of our test circumstances. There was often little to choose between these tests in terms of power, and no situation where either of the remaining six tests offered substantially better power than either of these. Hence, we recommend the routine use of either Watson’s U2 test or MANOVA approach when comparing two samples of circular data.
dc.relation.ispartofScientific Reportsen
dc.rightsCopyright © The Author(s) 2021. This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder.en
dc.subjectHA Statisticsen
dc.subjectQH301 Biologyen
dc.titleAdvice on comparing two independent samples of circular data in biologyen
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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