整区因子更重要时一般最小低阶混杂裂区设计  

General minimum lower-order confounding split-plot designs when the whole plot factors are more important

作　　者：孙涛[1] 赵胜利[1] SUN Tao;ZHAO Shengli(School of Statistics and Data Science,Qufu Normal University,273165,Qufu,Shandong,PRC)

机构地区：[1]曲阜师范大学统计与数据科学学院,山东省曲阜市273165

出　　处：《曲阜师范大学学报（自然科学版）》2023年第2期25-34,共10页Journal of Qufu Normal University(Natural Science)

基　　金：国家自然科学基金(12171277).

摘　　要：考虑当整区因子比子区因子更重要时一般水平的裂区设计,提出了这种情况下的一般最小低阶混杂准则.用有限投影几何作为工具,建立了裂区设计与其补设计字长型之间的关系.这对构造该准则下的最优设计是有帮助的.The general level split-plot designs when the whole plot factors are more important than the subplot factors are considered in the paper.The criterion of general minimum lower-order confounding in this case is proposed.By usingthe finite projection geometry as a tool,the relationship between the split-plot designs and its complementary sets is established,which is helpful to construct the optimal designs under this criterion.

关 键 词：裂区设计 一般最小低阶混杂 补集 

分 类 号：O212.6[理学—概率论与数理统计]