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Methods of hypotheses testing for equality of extrinsic antimeans on compactmanifolds are unveiled in this paper. The two and multiple sample problem forantimeans on compact manifolds is addressed for large samples via asymptoticdistributions, as well as for small samples using nonparametric bootstrap. Anexample of face differentiation using 3D VW antimean projective shape analysisfor data extracted from digital camera images is also given.

Anti-MANOVA on Compact Manifolds with Applications to 3D Projective Shape Analysis