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Biometrika 1986 73(3):701-706; doi:10.1093/biomet/73.3.701
© 1986 by Biometrika Trust
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Conditions for universal optimality of block designs

CHING-MING YEN

Department of Statistics, State University of New York at Buffalo Amherst New York 14260, U.S.A.

Kiefer (1975) introduced the criterion of universal optimality and provided a sufficient condition for a design being universally optimal. The condition requires maximum trace and complete symmetry from the information matrix of a design. In many instances, this condition cannot be achieved. In this paper, Kiefer's condition is generalized and applications are found in the justification of universal optimality over the class of binary block designs.

Key Words: Block design • Information matrix • Matrix convexity • Optimal design • Universal optimality


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