A nonlinear mixed effects directional model for the estimation of the rotation axes of the human ankle

DOI10.1214/10-AOAS342zbMath1220.62136arXiv1101.1203OpenAlexW3103479077MaRDI QIDQ542957

Louis-Paul Rivest, Mohammed Haddou, Michael Raymond Pierrynowski

Publication date: 20 June 2011

Published in: The Annals of Applied Statistics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1101.1203

zbMATH Keywords

Bayesian analysispenalized likelihoodrotation matricesjoint kinematics

Mathematics Subject Classification ID

Directional data; spatial statistics (62H11) Estimation in multivariate analysis (62H12) Applications of statistics to biology and medical sciences; meta analysis (62P10) Bayesian inference (62F15) General nonlinear regression (62J02) Monte Carlo methods (65C05) Biomechanics (92C10)

Related Items

Quantifying spread in three-dimensional rotation data: comparison of nonparametric and parametric techniques ⋮ A permutation test for comparing rotational symmetry in three-dimensional rotation data sets ⋮ Bayes inference for a tractable new class of non-symmetric distributions for 3-dimensional rotations

Uses Software

• S-PLUS
• MEMSS

Cites Work

• Decision theoretic analysis of spherical regression
• Approximating the matrix Fisher and Bingham distributions: Applications to spherical regression and Procrustes analysis
• A statistical model for random rotations
• A Directional Model for the Estimation of the Rotation Axes of the Ankle Joint
• Mixed-Effects Models in S and S-PLUS
• Using Orientation Statistics to Investigate Variations in Human Kinematics
• Regression and correlation for 3 × 3 rotation matrices
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