Journal
SCIENCE IN CHINA SERIES A-MATHEMATICS PHYSICS ASTRONOMY
Volume 45, Issue 8, Pages 1080-1088Publisher
SCIENCE CHINA PRESS
DOI: 10.1007/BF02879992
Keywords
discrepancy; resolvable balanced incomplete block design; supersaturated design; uniformity
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Supersaturated designs are factorial designs in which the number of main effects is greater than the number of experimental runs. In this paper, a discrete discrepancy is proposed as a measure of uniformity for supersaturated designs, and a lower bound of this discrepancy is obtained as,a benchmark of design uniformity. A construction method for uniform supersaturated designs via resolvable balanced incomplete block designs is also presented along with the investigation of properties of the resulting designs. The construction method shows a strong link between these two different kinds of designs.
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