Statistical tests for group comparison of manifold-valued data

2013/05/06 by Anne Collard, Christophe Phillips, Collard, Anne +3
Mathematics · #FOS: Mathematics #Statistics Theory (math.ST) #math.ST #stat.TH

paper · pdf · doi:10.48550/arxiv.1305.1118

arxiv created 2013/05/06 · arxiv updated 2013/05/07

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.

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