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Statistica Sinica 9(1999), 605-610


A RESOLUTION RANK CRITERION FOR SUPERSATURATED

DESIGNS


Lih-Yuan Deng, Dennis K. J. Lin and Jiannong Wang


University of Memphis, Pennsylvania State University
and Covance Clinical and Periapproval Service, Inc.


Abstract: Hadamard matrices are found to be useful in constructing supersaturated designs. In this paper, we study a special form of supersaturated designs using Hadamard matrices. Properties of such a supersaturated design are discussed. It is shown that the popular E(s2) criterion is in general inadequate to measure the goodness of a . A new criterion based upon the projection property, called resolution rank (r-rank), is proposed. Furthermore, an upper bound for r-rank is given for practical use.



Key words and phrases: Hadamard matrix, projective designs.


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