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Biometrika 1975 62(2):277-288; doi:10.1093/biomet/62.2.277
© 1975 by Biometrika Trust
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Optimal design: Variation in structure and performance under change of criterion

J. KIEFER

Department of Mathematics, Cornell University Ithaca, New York

The advisability of comparing designs on the basis of several different criteria of goodness is discussed. As an illustration, designs for quadratic regression on a simplex are compared in terms of a family of criteria that includes those of A-, D- and E-optimality, as well as one of Box & Draper. Efficiency robustness under change of region, as well as of criterion, is considered. The dependence of structure of good designs on dimension is determined.

Key Words: A-optimality • Biased regression • D-optimality • E-optimality • Mixture design • Optimal design • Response surface • Robust design • Simplex design


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