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Bootstrap and permutation tests in ANOVA for directional data

Adelaide Figueiredo ()
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Adelaide Figueiredo: University of Porto

Computational Statistics, 2017, vol. 32, issue 4, No 1, 1213-1240

Abstract: Abstract The problem of testing the null hypothesis of a common direction across several populations defined on the hypersphere arises frequently when we deal with directional data. We may consider the Analysis of Variance (ANOVA) for testing such hypotheses. However, for the Watson distribution, a commonly used distribution for modeling axial data, the ANOVA test is only valid for large concentrations. So we suggest to use alternative tests, such as bootstrap and permutation tests in ANOVA. Then, we investigate the performance of these tests for data from Watson populations defined on the hypersphere.

Keywords: Hypersphere; Monte Carlo methods; Simulation; Watson distribution; Resampling methods (search for similar items in EconPapers)
Date: 2017
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Citations: View citations in EconPapers (1)

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DOI: 10.1007/s00180-017-0739-x

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