A permutation test for three-dimensional rotation data

Bero, Daniel; Bingham, Melissa

doi:10.2140/involve.2015.8.735

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A permutation test for three-dimensional rotation data

Daniel Bero and Melissa Bingham

Vol. 8 (2015), No. 5, 735–744

DOI: 10.2140/involve.2015.8.735

Abstract

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.

Keywords

nonparametric statistics, permutation test, directional data

Mathematical Subject Classification 2010

Primary: 62G09, 62G10

Milestones

Received: 3 June 2013

Revised: 22 July 2014

Accepted: 7 September 2014

Published: 28 September 2015

Communicated by Mary C. Meyer

Authors

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

Vol. 8, No. 5, 2015