The Hadamard matrix is found to be useful in constructing supersaturated designs. In this paper, we provide a universal form of supersaturated design using a Hadamard matrix. In addition to new designs that are obtained, it is shown that most of the recent work in this area, including Lin (1993a), Wu (1993) and Tang and Wu (1993), can be viewed as special cases of such a universal form. Properties of such a supersaturated design are discussed. In particular, designs given here will always reach the minimum E(s2) value within a class of the same size. To further distinguish these designs, a new criterion -- resolution rank, based upon the estimability of projective design -- is proposed, justified, and used. Hadamard matrices of the order n = 12 and n = 16 are used as examples.
By: Lih-Yuan Deng, Dennis K. J. Lin, Jiannong Wang
Published in: RC19470 in 1994
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