Uniqueness, Consistency and Optimality in Spherical Regression Experiments

by Hwashin H.Shin (Queen's University), Glen K.Takahara (Queen's University) and Duncan J.Murdoch (University of Western Ontario)

For designed experiments based on the spherical regression model of Chang (Ann. Statist. 14 (1986) 907) we provide results on the minimum number of covariate directions that are necessary and su cient for uniqueness and consistency of least squares estimates and on minimizing con dence regions.

Keywords: Directional data; Spherical regression; Design of experiments; Uniqueness; Consistency; Optimality

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