Three-level blocked regular designs with general minimum lower order confounding

被引：2
|
作者：
Wang, Yanfei [1 ,2 ,3 ]
Li, Zhiming [4 ]
Zhang, Runchu [1 ,2 ,5 ,6 ]
机构：
[1] Northeast Normal Univ, KLAS, Changchun 130024, Jilin, Peoples R China
[2] Northeast Normal Univ, Sch Math & Stat, Changchun 130024, Jilin, Peoples R China
[3] Jilin Univ Chem Technol, Coll Sci, Jilin, Jilin, Peoples R China
[4] Xinjiang Univ, Coll Math & Syst Sci, Urumqi, Peoples R China
[5] Nankai Univ, LPMC, Tianjin, Peoples R China
[6] Nankai Univ, Sch Math Sci, Tianjin, Peoples R China
来源：
COMMUNICATIONS IN STATISTICS-THEORY AND METHODS | 2020年 / 49卷 / 10期
关键词：
Fractional factorial design; blocking; clear effects; effect hierarchy principle; general minimum lower order confounding (GMC); minimum aberration; 2-LEVEL DESIGNS; CONSTRUCTION; ABERRATION; CRITERION;
D O I：
10.1080/03610926.2019.1576891
中图分类号：
O21 [概率论与数理统计]; C8 [统计学];
学科分类号：
020208 ; 070103 ; 0714 ;
摘要：
When the experimental units are heterogeneous, blocking the units into groups is a crucial way. In this paper we consider the selection of optimal three-level blocked regular designs. A blocked aliased component-number pattern (B-ACNP) is introduced and a blocked general minimum lower order confounding (B-1-GMC) criterion for selecting three-level blocked designs is proposed. Some relations of this criterion with other existing criteria are given. Some results of constructing three-level B-1-GMC designs are obtained. For comparison, all the B-1-GMC, B-GMC and four MA-type 3(n-m) : 3(p) designs with 27, 81 and 243 runs, n = 4, 5, ... , 10 and p = 1, 2, 3 are tabulated.
引用
收藏
页码：2498 / 2513
页数：16
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