A permutation test for comparing rotational symmetry in three-dimensional rotation data sets

Melissa A. Bingham () and Marissa L. Scray
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Melissa A. Bingham: University of Wisconsin-La Crosse
Marissa L. Scray: University of Wisconsin-La Crosse

Journal of Statistical Distributions and Applications, 2017, vol. 4, issue 1, 1-8

Abstract: Abstract Although there have been fairly recent advances regarding inference for three-dimensional rotation data, there are still many areas of interest yet to be explored. One such area involves comparing the rotational symmetry of 3-D rotations. In this paper, nonparametric inference is used to test if F 1=F 2, where F i is the degree of rotational symmetry of distribution i, through a permutation test. The validity of the developed permutation test is examined through a simulation study and the test is applied to a small example in biomechanics.

Keywords: Directional data; Three-dimensional rotations; Permutation test; Rotational symmetry; 62H11; 62G09; 62G10 (search for similar items in EconPapers)
Date: 2017
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DOI: 10.1186/s40488-017-0075-2

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