ROBUST COMPARISON OF DISPERSIONS FOR SAMPLES OF DIRECTIONAL DATA

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Abstract
Summary: Robust methods are proposed for testing whether several directional distributions on the unit p‐sphere have comparable dispersions. The families of distributions considered are the Langevin for random vectors, and the Generalised Scheidegger‐Watson for random axes, with specific interest in the Fisher and Watson distributions on the sphere. The methods are analogues of Levene's procedure for comparing variances of normal distributions.