摘要
混水平部分因析设计在各类试验中有广泛应用.纯净效应准则是用于选取最优部分因析设计的重要准则之一.本文考虑含有一个八水平因子、一个四水平因子和若干二水平因子的8×4×2~n混水平设计,给出了分辨度为Ⅲ和Ⅳ的该类混水平设计包含纯净两因子交互作用成分最大数的上界和下界.下界通过构造特定设计而得到.
Mixed-level designs are widely used in factorial experiments. Clear effects criterion is one of the important rules for selecting optimal fractional factorial designs. This paper considers mixed-level designs with one eight-level factor, one four-level factor, and some two-level factors, denoted by 8×4×2^n designs, and derives the upper and lower bounds on the maximum number of clear two-factor interaction components in 8×4×2^n designs with resolution III and IV. The lower bounds are achieved by constructing specific designs.
出处
《数学学报（中文版）》
CSCD
北大核心
2017年第6期993-1002,共10页
Acta Mathematica Sinica：Chinese Series
基金
国家自然科学基金资助项目(11371223)
曲阜师范大学应用概率统计科研创新团队项目(0230518)
曲阜师范大学科技项目(xkj201519)
关键词
纯净效应
混水平设计
分辨度
两因子交互作用成分
clear effects
mixed-level designs
resolution
two-factor interaction components
