Vol. 8, No. 5, 2015

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A permutation test for three-dimensional rotation data

Daniel Bero and Melissa Bingham

Vol. 8 (2015), No. 5, 735–744

Statistical inference procedures that require no distributional assumptions make up the area of nonparametric statistics. The permutation test is a common nonparametric test that can be used to compare measures of center for two data sets, but it is yet to be explored for three-dimensional rotation data. A permutation test for such data is developed and the statistical power of this test is considered under various scenarios. The test is then used in an application comparing movement around joints in the foot and ankle for humans, chimpanzees, and baboons.

nonparametric statistics, permutation test, directional data
Mathematical Subject Classification 2010
Primary: 62G09, 62G10
Received: 3 June 2013
Revised: 22 July 2014
Accepted: 7 September 2014
Published: 28 September 2015

Communicated by Mary C. Meyer
Daniel Bero
Colony Brands
Monroe, WI 53566
United States
Melissa Bingham
Mathematics Department
University of Wisconsin-La Crosse
1725 State Street
La Crosse, WI 54601
United States