English

Statistical tests for group comparison of manifold-valued data

Statistics Theory 2013-05-07 v1 Statistics Theory

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

Cite

@article{arxiv.1305.1118,
  title  = {Statistical tests for group comparison of manifold-valued data},
  author = {Anne Collard and Christophe Phillips and Rodolphe Sepulchre},
  journal= {arXiv preprint arXiv:1305.1118},
  year   = {2013}
}
R2 v1 2026-06-22T00:11:56.008Z