(s^r)×s^n正规部分因子设计折叠反转的性质

Some Properties of Foldover of Regular(s^r)×s^n Fractional Factorial Designs

该文讨论了(s^r)×s^n正规部分因子设计折叠反转的问题,其中r(≥2)是一个整数,s是一个素数或素数幂.给出了(s^r)×s^n正规部分因子设计的折叠反转方案的一般结构,分别在未分区组和分区组的情形下给出了初始设计与扩大设计间的联系,把s水平正规部分因子设计的折叠反转的相关结果推广到(s^r)×s^n正规部分因子设计的情形.

In this paper,the authors study the issue of foldover of regular（s^r）×s^n fractional factorial designs,where r（≥2） is an integer and s is a prime or prime power.A general decomposition structure of the foldover plan for a regular（s^r）×s^n fractional factorial design is obtained.The relationship between an initial design and its combined design are studied. This is done both for with and without consideration of the blocking factor.So the authors generalize the results about foldover from s^n regular fractional factorial designs to the case of （s^r）×s^n regular fractional.