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In this paper one develops nonparametric inference procedures for comparingtwo extrinsic antimeans on compact manifolds. Based on recent Central limittheorems for extrinsic sample antimeans w.r.t. an arbitrary embedding of acompact manifold in a Euclidean space, one derives an asymptotic chi squaretest for the equality of two extrinsic antimeans. Applications are given todistributions on complex projective space $CP^{k-2}$ w.r.t. theVeronese-Whitney embedding, that is a submanifold representation for theKendall planar shape space. Two medical imaging analysis applications are alsogiven.

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