B1926
Title: Approximate I-optimal designs for polynomial models over the unit ball
Authors: Linda Haines - University of Cape Town (South Africa) [presenting]
Abstract: The focus is on approximate I-optimal designs for full polynomial models over the unit ball. The designs have support on an appropriate set of spheres concentric or coincident with the boundary of the unit ball and place weights on the uniform distributions over those spheres. The result is stated in a single sentence in a paper in 1977, but has not been revisited since. The indicated proof is formalized and the requisite designs are constructed using an approach which emanates from Euclidean design theory. Comparisons of the approximate I-optimal designs with their D-optimal counterparts are made and a Pareto approach to obtaining a design which is a compromise between D- and I-efficiency is introduced. Examples which reinforce the findings are presented throughout.
