Two Sample Test for Extrinsic Antimeans on Planar Kendall Shape Spaces with an Application to Medical Imaging

07/09/2021

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by   Aaid Algahtani, et al.

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In this paper one develops nonparametric inference procedures for comparing two extrinsic antimeans on compact manifolds. Based on recent Central limit theorems for extrinsic sample antimeans w.r.t. an arbitrary embedding of a compact manifold in a Euclidean space, one derives an asymptotic chi square test for the equality of two extrinsic antimeans. Applications are given to distributions on complex projective space CP^k-2 w.r.t. the Veronese-Whitney embedding, that is a submanifold representation for the Kendall planar shape space. Two medical imaging analysis applications are also given.