多水平超饱和设计的一类构造方法

Construction of Supersaturated Designs of Multiple-Level

过去超饱和设计的研究集中在２水平设计的范围内，Ｌｕ ａｎｄ Ｓｕｎ（２０００）首次讨论了高于２水平因子的超饱和设计问题，该文提出了用Ｅ（ｄ２）作为构造超饱和设计的准则，并给出了Ｅ（ｄ２）最优的一些设计，本文讨论了以给定的Ｍａｘ（ｄ２）为前提构造超饱和设计的方法，并给出了一些三水平和四水平的超饱和设计．

Lu and Sun(2000) first discussed the problem of constructing supersaturated design with more than two levels. A criterion, E(d2), was proposed in the construction of supersturated design, and some E(d2)-optimal designs were obtained. In this paper, we use the criterion of Max(d2) in the construction of supersaturated design. A kind of method was discussed, some 3- and 4-level designs with prescribed Max(d2) are given.