Uniform supersaturated design and its construction
- 89 Downloads
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
Keywordsdiscrepancy resolvable balanced incomplete block design supersaturated design uniformity
Unable to display preview. Download preview PDF.
- 13.Liu, M. Q., Zhang, R. C., The equivalence between E(s2) optimal supersaturated designs and BIB designs, Chinese Sci. Bull., 1998, 43: 2053.Google Scholar
- 21.Fang, K. T., Hickernell, F. J., The uniform design and its applications, Bull. Inst. Internat. Statist., 50th Session, Book 1, 1995, 333-349.Google Scholar
- 25.Hickernell, F. J., Lattice rules: How well do they measure up? in Random and Quasi-Random Point Sets, Vol. 138 of Lecture Notes in Statistics (eds. Hellekalek, P., Larcher, G.), New York: Springer-Verlag, 1998, 109–166.Google Scholar