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Consequences of grouped data for testing for departure from circular uniformity

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Humphreys_2017_Consequences_grouped_BES_167_CC.pdf (1.092Mb)
Date
11/2017
Author
Humphreys, Rosalind Kay
Ruxton, Graeme Douglas
Keywords
Chi-squared test
Kolmogorov-Smirnov test
Ordered categories
Periodic data
Rayleigh test
QA Mathematics
QH301 Biology
DAS
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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.
Citation
Humphreys , R K & Ruxton , G D 2017 , ' Consequences of grouped data for testing for departure from circular uniformity ' , Behavioral Ecology and Sociobiology , vol. 71 , 167 . https://doi.org/10.1007/s00265-017-2393-2
Publication
Behavioral Ecology and Sociobiology
Status
Peer reviewed
DOI
https://doi.org/10.1007/s00265-017-2393-2
ISSN
0340-5443
Type
Journal article
Rights
© The Author(s) 2017. This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), 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.
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  • University of St Andrews Research
URI
http://hdl.handle.net/10023/12002

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