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The Hermans–Rasson test as a powerful alternative to the Rayleigh test for circular statistics in biology

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The Hermans–Rasson test as a powerful alternative to the Rayleigh test for circular statistics in biology. / Landler, Lukas; Ruxton, Graeme D.; Malkemper, E. Pascal.

In: BMC Ecology, Vol. 19, 30, 07.08.2019.

Research output: Contribution to journalArticle

Harvard

Landler, L, Ruxton, GD & Malkemper, EP 2019, 'The Hermans–Rasson test as a powerful alternative to the Rayleigh test for circular statistics in biology', BMC Ecology, vol. 19, 30. https://doi.org/10.1186/s12898-019-0246-8

APA

Landler, L., Ruxton, G. D., & Malkemper, E. P. (2019). The Hermans–Rasson test as a powerful alternative to the Rayleigh test for circular statistics in biology. BMC Ecology, 19, [30]. https://doi.org/10.1186/s12898-019-0246-8

Vancouver

Landler L, Ruxton GD, Malkemper EP. The Hermans–Rasson test as a powerful alternative to the Rayleigh test for circular statistics in biology. BMC Ecology. 2019 Aug 7;19. 30. https://doi.org/10.1186/s12898-019-0246-8

Author

Landler, Lukas ; Ruxton, Graeme D. ; Malkemper, E. Pascal. / The Hermans–Rasson test as a powerful alternative to the Rayleigh test for circular statistics in biology. In: BMC Ecology. 2019 ; Vol. 19.

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@article{3738ce16d21641199390df454518682d,
title = "The Hermans–Rasson test as a powerful alternative to the Rayleigh test for circular statistics in biology",
abstract = "Background:  Circular data are gathered in diverse fields of science where measured traits are cyclical in nature: such as compass directions or times of day. The most common statistical question asked of a sample of circular data is whether the data seems to be drawn from a uniform distribution or one that is concentrated around one or more preferred directions. The overwhelmingly most-popular test of the null hypothesis of uniformity is the Rayleigh test, even though this test is known to have very low power in some circumstances. Here we present simulation studies evaluating the performance of tests developed as alternatives to the Rayleigh test.Results:  The results of our simulations demonstrate that a single test, the Hermans and Rasson test is almost as powerful as the Rayleigh test in unimodal situations (when the Rayleigh test does well) but substantially outperforms the Rayleigh test in multimodal situations.Conclusion:  We recommend researchers switch to routine use of the new Hermans and Rasson test. We also demonstrate that all available tests have low power to detect departures from uniformity involving more than two concentrated regions: we recommend that where researchers suspect such complex departures that they collect substantially-sized samples and apply another recent test due to Pycke that was designed specifically for such complex cases. We provide clear textual descriptions of how to implement each of these recommended tests and encode them in R functions that we provide.",
keywords = "R functions, Animal navigation, Migration, Emlen funnel, Behaviour, Biostatistics, Circadian, Chronobiology",
author = "Lukas Landler and Ruxton, {Graeme D.} and Malkemper, {E. Pascal}",
year = "2019",
month = "8",
day = "7",
doi = "10.1186/s12898-019-0246-8",
language = "English",
volume = "19",
journal = "BMC Ecology",
issn = "1472-6785",
publisher = "BioMed Central",

}

RIS (suitable for import to EndNote) - Download

TY - JOUR

T1 - The Hermans–Rasson test as a powerful alternative to the Rayleigh test for circular statistics in biology

AU - Landler, Lukas

AU - Ruxton, Graeme D.

AU - Malkemper, E. Pascal

PY - 2019/8/7

Y1 - 2019/8/7

N2 - Background:  Circular data are gathered in diverse fields of science where measured traits are cyclical in nature: such as compass directions or times of day. The most common statistical question asked of a sample of circular data is whether the data seems to be drawn from a uniform distribution or one that is concentrated around one or more preferred directions. The overwhelmingly most-popular test of the null hypothesis of uniformity is the Rayleigh test, even though this test is known to have very low power in some circumstances. Here we present simulation studies evaluating the performance of tests developed as alternatives to the Rayleigh test.Results:  The results of our simulations demonstrate that a single test, the Hermans and Rasson test is almost as powerful as the Rayleigh test in unimodal situations (when the Rayleigh test does well) but substantially outperforms the Rayleigh test in multimodal situations.Conclusion:  We recommend researchers switch to routine use of the new Hermans and Rasson test. We also demonstrate that all available tests have low power to detect departures from uniformity involving more than two concentrated regions: we recommend that where researchers suspect such complex departures that they collect substantially-sized samples and apply another recent test due to Pycke that was designed specifically for such complex cases. We provide clear textual descriptions of how to implement each of these recommended tests and encode them in R functions that we provide.

AB - Background:  Circular data are gathered in diverse fields of science where measured traits are cyclical in nature: such as compass directions or times of day. The most common statistical question asked of a sample of circular data is whether the data seems to be drawn from a uniform distribution or one that is concentrated around one or more preferred directions. The overwhelmingly most-popular test of the null hypothesis of uniformity is the Rayleigh test, even though this test is known to have very low power in some circumstances. Here we present simulation studies evaluating the performance of tests developed as alternatives to the Rayleigh test.Results:  The results of our simulations demonstrate that a single test, the Hermans and Rasson test is almost as powerful as the Rayleigh test in unimodal situations (when the Rayleigh test does well) but substantially outperforms the Rayleigh test in multimodal situations.Conclusion:  We recommend researchers switch to routine use of the new Hermans and Rasson test. We also demonstrate that all available tests have low power to detect departures from uniformity involving more than two concentrated regions: we recommend that where researchers suspect such complex departures that they collect substantially-sized samples and apply another recent test due to Pycke that was designed specifically for such complex cases. We provide clear textual descriptions of how to implement each of these recommended tests and encode them in R functions that we provide.

KW - R functions

KW - Animal navigation

KW - Migration

KW - Emlen funnel

KW - Behaviour

KW - Biostatistics

KW - Circadian

KW - Chronobiology

U2 - 10.1186/s12898-019-0246-8

DO - 10.1186/s12898-019-0246-8

M3 - Article

VL - 19

JO - BMC Ecology

JF - BMC Ecology

SN - 1472-6785

M1 - 30

ER -

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