| Affiliation: | (1) Department of Mathematics, Hong Kong Baptist University, Hong Kong, China;(2) Department of Supply Chain and Information Systems, The Pennsylvania State University, University Park, PA 16802, U.S.A;(3) Department of Statistics, Nankai University, Tianjin, 300071 |
| Abstract: | A supersaturated design is essentially a fractional factorial in which the number of potential effects is greater than the number of runs. In this paper, E(f NOD ) criterion is employed for comparing supersaturated designs from the viewpoint of orthogonality and uniformity, and a lower bound of E(f NOD ) which can serve as a benchmark of design optimality is obtained. It is shown that the existing E(s 2) and ave  2 criteria (for two- and three-level supersaturated designs respectively) are in fact special cases of this criterion. Furthermore, a construction method for mixed-level supersaturated designs is proposed and some properties of the resulting designs are investigated. Key words:Discrepancy; Hamming distance; Orthogonal array; Supersaturated design; Uniformity; U-type design. 2000 Mathematics Subject Classifications 62K15, 62K05, 62K99. Corresponding author. |
