Uniform supersaturated design and its construction  

作　　者：方开泰 葛根年 刘民千 

出　　处：《Science China Mathematics》2002年第8期1080-1088,共9页中国科学：数学（英文版）

基　　金：This work was partially supported by the Hong Kong RGC (HKUB RC/98-99/Gen-370) the YNSFC (10001026); the National Natural Science Foundation of China (Grant No. 10171051). Theresearch was carried out while the last two authors were visiting Hong Kong Ba

摘　　要：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 asa 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.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

关 键 词：discrepancy  RESOLVABLE BALANCED INCOMPLETE block design  supersaturated design  uniformity. 

分 类 号：O212.6[理学—概率论与数理统计]