A NEW UPPER BOUND FOR THE EFFICIENCY FACTOR OF A BLOCK DESIGN |
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| Authors: | Tue Tjur |
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| Affiliation: | Inst. Mathematical Statistics, University of Copenhagen, Universtitetsparken 5, DK-2100 Copenhagen 0, Denmark. |
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| Abstract: | An upper bound for the efficiency factor of a block design, which in many cases is tighter than those reported by other authors, is derived. The bound is based on a lower bound for E(1/X) in terms of E(X) and var(X) for a random variable X on the unit interval. For the special case of resolvable designs, an improved bound is given which also competes with known bounds for resolvable designs in some cases. |
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| Keywords: | Block design efficiency factor optimal design A-optimality |
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