数理统计与管理2024,Vol.43Issue(6) :1065-1072.DOI:10.13860/j.cnki.sltj.20241115-001

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

刘艳丽 赵胜利
数理统计与管理2024,Vol.43Issue(6) :1065-1072.DOI:10.13860/j.cnki.sltj.20241115-001

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

刘艳丽 1赵胜利2
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作者信息

  • 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
  • 折叠

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.

Abstract

Split-plot designs have important application in industrial experiments.The general mini-mum 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 split-plot 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

Key words

factorial design/isomorphic design/aliased effect number pattern

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出版年

2024
数理统计与管理
中国现场统计研究会

数理统计与管理

CSTPCDCSSCICHSSCD北大核心
影响因子:1.114
ISSN:1002-1566
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