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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
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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.
作者 孙涛 赵胜利 SUN Tao;ZHAO Shengli(School of Statistics and Data Science,Qufu Normal University,273165,Qufu,Shandong,PRC)
出处 《曲阜师范大学学报(自然科学版)》 CAS 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).
关键词 裂区设计 一般最小低阶混杂 补集 split-plot design general minimum lower-order confounding complementary set
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参考文献1

  • 1WEI JiaLin 1,4,YANG JianFeng 1,LI Peng 3 & ZHANG RunChu 1,2,1 School of Mathematical Sciences and LPMC,Nankai University,Tianjin 300071,China,2 KLAS and School of Mathematics and Statistics,Northeast Normal University,Changchun 130024,China,3 School of Mathematical Sciences,Capital Normal University,Beijing 100037,China,4 School of Sciences,Tianjin University of Commerce,Tianjin 300134,China.Split-plot designs with general minimum lower-order confounding[J].Science China Mathematics,2010,53(4):939-952. 被引量:2

二级参考文献28

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