Title :
Statistical tests for group comparison of manifold-valued data
Author :
Collard, Anne ; Phillips, Chris ; Sepulchre, R.
Author_Institution :
Dept. of Electr. Eng. & Comput. Sci., Univ. of Liege, Liege, Belgium
Abstract :
Motivated by population studies of Diffusion Tensor Imaging, the paper investigates the use of mean-based and dispersion-based permutation tests to define and compute the significance of a statistical test for data taking values on nonlinear manifolds. The paper proposes statistical tests that are computationally tractable and geometrically sound for Diffusion Tensor Imaging.
Keywords :
biomedical MRI; medical image processing; statistical testing; diffusion tensor imaging; dispersion-based permutation test; group comparison; manifold-valued data; mean-based permutation test; nonlinear manifolds; statistical tests; Anisotropic magnetoresistance; Eigenvalues and eigenfunctions; Manifolds; Sociology; Statistical analysis; Tensile stress;
Conference_Titel :
Decision and Control (CDC), 2013 IEEE 52nd Annual Conference on
Conference_Location :
Firenze
Print_ISBN :
978-1-4673-5714-2
DOI :
10.1109/CDC.2013.6760036
