摘要
试验设计方法已在各行各业得到了广泛应用,然而,有些实验往往受到时间趋势干扰效应的影响.讨论了具有与趋势干扰效应无关的设计顺序,借助一类特殊的立体幻方,特别是次幻立方,给出了一类主效应和所有二阶交互效应均与时间干扰效应线性无关的设计顺序,并且该方法针对的因子水平可以是非素数的.
When experiments are carried out in a sequential of time, the response may be subject to the uncontrollable time trends. In this paper, magic cubes and hypo-magic cubes are used in these trend free plans with multi-factors, which show that all main effects and two-factor interaction effects are both linear trend free. Moreover, the proposed method can be applied for non prime power levers.
出处
《高校应用数学学报（A辑）》
CSCD
北大核心
2014年第3期269-276,共8页
Applied Mathematics A Journal of Chinese Universities(Ser.A)
基金
国家自然科学基金(11301073)
关键词
多因子
干扰效应
次幻立方
交互效应
multi-factor
uncontrollable effect
hypo-magic cube
interaction effect
