Minimum aberration (S2) Sn-k designs

被引：1

作者：

Zhang, RC ^{[1
]}

Shao, Q

机构：

[1] Nankai Univ, Dept Stat, Sch Math Sci, Tianjin 300071, Peoples R China

[2] Univ Georgia, Dept Stat, Athens, GA 30602 USA

来源：

STATISTICA SINICA | 2001年 / 11卷 / 01期

关键词：

asymmetrical factorial design; fractional factorial designs; grouping scheme; minimum aberration;

D O I：

暂无

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：

This paper extends the 4(m)2(n) minimum aberration designs (MA designs) of Wu and Zhang (1993) to the case of (S-2)Sn-k, where S is any prime or prime power. Some basic properties of (S-2)Sn-k MA designs, including the relations with Sn-k MA designs, are discussed. The (9)3(n-k) MA designs with 27 runs and (16)4(n-k) MA designs with 64 runs are tabulated, and some (4)2(n-k) MA designs are constructed using the above relations.

引用

页码：213 / 223

页数：11

共 50 条

[1] SOME RESULTS ON SN-K FRACTIONAL FACTORIAL-DESIGNS WITH MINIMUM ABERRATION OR OPTIMAL MOMENTS
CHEN, JH
WU, CFJ
[J]. ANNALS OF STATISTICS, 1991, 19 (02): : 1028 - 1041
[2] MINIMUM ABERRATION 2K-P DESIGNS
FRIES, A
HUNTER, WG
[J]. TECHNOMETRICS, 1980, 22 (04) : 601 - 608
[3] Characterization of minimum aberration 2(n-k) designs in terms of their complementary designs
Tang, BI
Wu, CFJ
[J]. ANNALS OF STATISTICS, 1996, 24 (06): : 2549 - 2559
[4] SEMIFOLDING SN-K DESIGN
JOHN, PWM
[J]. ANNALS OF MATHEMATICAL STATISTICS, 1965, 36 (03): : 1076 - &
[5] 2m41 designs with minimum aberration or weak minimum aberration
Peng-Fei Li
Min-Qian Liu
Run-Chu Zhang
[J]. Statistical Papers, 2007, 48 : 235 - 248
[6] 2m 41 designs with minimum aberration or weak minimum aberration
Li, Peng-Fei
Liu, Min-Qian
Zhang, Run-Chu
[J]. STATISTICAL PAPERS, 2007, 48 (02) : 235 - 248
[7] Fractional resolution and minimum aberration in blocked 2(n-k) designs
Sitter, RR
Chen, JH
Feder, M
[J]. TECHNOMETRICS, 1997, 39 (04) : 382 - 390
[8] SOME RESULTS ON 2(N-K) FRACTIONAL FACTORIAL-DESIGNS AND SEARCH FOR MINIMUM ABERRATION DESIGNS
CHEN, JH
[J]. ANNALS OF STATISTICS, 1992, 20 (04): : 2124 - 2141
[9] E(s2)-optimality and minimum discrepancy in 2-level supersaturated designs
Liu, MQ
Hickernell, FJ
[J]. STATISTICA SINICA, 2002, 12 (03) : 931 - 939
[10] On the construction of restricted minimum aberration designs
Suen, Chung-yi
Das, Ashish
Midha, C. K.
[J]. STATISTICS & PROBABILITY LETTERS, 2014, 94 : 162 - 169

← 1 2 3 4 5 →