具有较少整区因子的一般最小低阶混杂裂区设计的构造  

Construction of General Minimum Lower-Order Confounding Split-Plot Designs with Few Whole Plot Factors

作　　者：刘艳丽[1] 赵胜利[2] LIU Yan-li;ZHAO Sheng-li(Journal Center,Qufu Normal University,Qufu 273165,China;School of Statistics and Data Science,Qufu Normal University,Qufu 273165,China)

机构地区：[1]曲阜师范大学期刊中心,山东曲阜273165 [2]曲阜师范大学统计与数据科学学院,山东曲阜273165

出　　处：《数理统计与管理》2024年第6期1065-1072,共8页Journal of Applied Statistics and Management

基　　金：国家自然科学基金(12171277)。

摘　　要：裂区设计在工业试验中具有重要应用。一般最小低阶混杂(GMC)准则是选取最优裂区设计的准则之一,GMC准则下的最优裂区设计称为GMC裂区设计。目前为止,计算机辅助搜索是唯一的构造GMC裂区设计的方法,但是这种方法太耗费时间。本文提出了构造具有较少整区因子的GMC裂区设计的理论方法,利用这种新方法可以很容易地得到一类GMC裂区设计。Split-plot designs have important application in industrial experiments.The general minimum lower-order confounding(GMC)criterion is one of the criteria for selecting the optimal split-plot designs.The optimal split-plot designs under the GMC criterion are called GMC split-plot designs.So far computer aided search is the only method for constructing GMC split-plot designs.However,the method is too time-consuming.In this paper,a theoretical method is proposed to construct GMC splitplot designs with few whole plot factors.A class of GMC split-plot designs can be easily obtained with the new method.

关 键 词：因子设计 同构设计 别名效应数型 

分 类 号：O212[理学—概率论与数理统计] O212.6[理学—数学]