二水平最优列扩展设计的构造及性质

doi:10.13438/j.cnki.jdzk.2023.03.001

吉首大学学报（自然科学版） ›› 2023, Vol. 44 ›› Issue (3): 1-7.DOI: 10.13438/j.cnki.jdzk.2023.03.001

• 数学 • 下一篇

二水平最优列扩展设计的构造及性质

张诗娴，田杰中，柏启明，李洪毅

(吉首大学数学与统计学院，湖南吉首 416000)

出版日期:2023-05-25 发布日期:2023-06-16
作者简介:张诗娴(1999—)，女，湖南衡阳人，吉首大学数学与统计学院硕士研究生，主要从事试验设计与应用统计研究
基金资助:
国家自然科学基金资助项目(12161040，11701213，11961027);湖南省自然科学基金资助项目(2021JJ30550);吉首大学科研项目(JDY22008)

Construction and Properties of Two-Level Optimal Column Augmented Designs

ZHANG Shixian,TIAN Jiezhong,BAI Qiming,LI Hongyi

(College of Mathematics and Statistics,Jishou University,Jishou 416000,Hunan China)

Online:2023-05-25 Published:2023-06-16
Contact: 李洪毅(1978—)，女，湖南沅陵人，吉首大学数学与统计学院教授，博士，主要从事试验设计与应用统计研究.

摘要/Abstract

摘要：为了更灵活地构造列扩展设计，采用一种不需要计算机搜索，只需从列数较小的初始设计出发，按照一定规则进行变换的方法，构造了二水平最优列扩展设计，并在E(s)准则、广义最小低阶混杂准则和最小矩混杂准则下，讨论了列扩展设计与初始设计之间的关系.

关键词： 列扩展设计, E(s)准则, 广义最小低阶混杂准则, 最小矩混杂准则

Abstract: In order to construct augmented designs more flexibly,the author uses a method without computer search which begins with an initial design with less number of columns and transforms by some rules to construct two-level optimal column augmented designs.In addition,the relationship between the column augmented designs and their initial designs is discussed under the E(s) criterion,the generalized minimum aberration criterion and the minimum moment aberration criterion.

Key words: column augmented designs, E(s), generalized minimum aberration, minimum moment aberration

张诗娴, 田杰中, 柏启明, 李洪毅. 二水平最优列扩展设计的构造及性质[J]. 吉首大学学报（自然科学版）, 2023, 44(3): 1-7.

ZHANG Shixian, TIAN Jiezhong, BAI Qiming, LI Hongyi. Construction and Properties of Two-Level Optimal Column Augmented Designs[J]. Journal of Jishou University(Natural Sciences Edition), 2023, 44(3): 1-7.

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二水平最优列扩展设计的构造及性质

Construction and Properties of Two-Level Optimal Column Augmented Designs

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