Comparison of Rotational Symmetry in Three-Dimensional Rotation Data Through a Permutation Test

• Activity Number: 411 - Nonparametric Testing
• Type: Contributed
• Date/Time: Tuesday, July 30, 2019 : 2:00 PM to 3:50 PM
• Sponsor: Section on Nonparametric Statistics
• Author(s): Melissa Bingham*
• Companies: University of Wisconsin-La Crosse
• Keywords: Directional data; Three-dimensional rotations; Permutation test; Rotational symmetry

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 talk, nonparametric inference is used to test if the degree of rotational symmetry is the same for two distributions on 3-D rotations via a permutation test. The validity of the developed permutation test is examined through a simulation study.