A note on the selection of optimal foldover plans for 16-and 32-run fractional factorial designs

被引：19

作者：

Wang, Bo ^{[2
]}

McLeod, Robert G. ^{[1
]}

Brewster, John F. ^{[3
]}

机构：

[1] Univ Winnipeg, Dept Math & Stat, Winnipeg, MB R3B 2E9, Canada

[2] NCI Insurance Co, Beijing 100073, Peoples R China

[3] Univ Manitoba, Winnipeg, MB R3T 2N2, Canada

来源：

JOURNAL OF STATISTICAL PLANNING AND INFERENCE | 2010年 / 140卷 / 06期

基金：

加拿大自然科学与工程研究理事会;

关键词：

Clear effects; Combined design; Minimum aberration; 2-LEVEL;

D O I：

10.1016/j.jspi.2009.12.011

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：

The minimum aberration criterion has been advocated for ranking foldovers of 2(k-p) fractional factorial designs (Li and Lin, 2003): however, a minimum aberration design may not maximize the number of clear low-order effects. We propose using foldover plans that sequentially maximize the number of clear low-order effects in the combined (initial plus foldover) design and investigate the extent to which these foldover plans differ from those that are optimal under the minimum aberration criterion. A small catalog is provided to summarize the results. (C) 2009 Elsevier B.V. All rights reserved.

引用

页码：1497 / 1500

页数：4

共 13 条

[1]

[Anonymous], 1993, OPTIMAL DESIGN EXPT

[2]

[Anonymous], 2007, MODERN EXPT DESIGN

[3]

Atkinson AC, 1992, OPTIMUM EXPT DESIGNS, DOI [10.1007/978-3-642-04898-2_434, DOI 10.1007/978-3-642-04898-2_434]

[4]

Box G., 2005, Statistics for Experimenters, VSecond

[5] ON THE EXPERIMENTAL ATTAINMENT OF OPTIMUM CONDITIONS [J].

BOX, GEP ;

WILSON, KB .

JOURNAL OF THE ROYAL STATISTICAL SOCIETY SERIES B-STATISTICAL METHODOLOGY, 1951, 13 (01) :1-45

[6] A CATALOG OF 2-LEVEL AND 3-LEVEL FRACTIONAL FACTORIAL-DESIGNS WITH SMALL RUNS [J].

CHEN, JH ;

SUN, DX ;

WU, CFJ .

INTERNATIONAL STATISTICAL REVIEW, 1993, 61 (01) :131-145

[7] MINIMUM ABERRATION 2K-P DESIGNS [J].

FRIES, A ;

HUNTER, WG .

TECHNOMETRICS, 1980, 22 (04) :601-608

[8] Split-plot fractional designs:: Is minimum aberration enough? [J].

Kulahci, M ;

Ramírez, JG ;

Tobias, R .

JOURNAL OF QUALITY TECHNOLOGY, 2006, 38 (01) :56-64

[9] Better foldover fractions for Resolution III 2k-p designs [J].

Li, H ;

Mee, RW .

TECHNOMETRICS, 2002, 44 (03) :278-283

[10] Optimal foldover plans for two-level fractional factorial designs [J].

Li, W ;

Lin, DKJ .

TECHNOMETRICS, 2003, 45 (02) :142-149

← 1 2 →