Journal article
A nonlinear mixed effects directional model for the estimation of the rotation axes of the human ankle
Abstract
This paper suggests a nonlinear mixed effects model for data points in SO(3), the set of 3×3 rotation matrices, collected according to a repeated measure design. Each sample individual contributes a sequence of rotation matrices giving the relative orientations of the right foot with respect to the right lower leg as its ankle moves. The random effects are the five angles characterizing the orientation of the two rotation axes of a subject’s …
Authors
Haddou M; Rivest L-P; Pierrynowski M
Journal
The Annals of Applied Statistics, Vol. 4, No. 4, pp. 1892–1912
Publisher
Institute of Mathematical Statistics
DOI
10.1214/10-aoas342
ISSN
1932-6157