Quality Engineering with Balanced Fractional Factorial Experimental Designs

被引：0

作者：

Nguyen, Man V. M. ^{[1
,2
]}

机构：

[1] Mahidol Univ, Fac Sci, Dept Math, 272 Rama VI, Bangkok 10400, Thailand

[2] Minist Educ, Ctr Excellence Math CEM, 272 Rama VI, Bangkok 10400, Thailand

来源：

SOUTHEAST ASIAN BULLETIN OF MATHEMATICS | 2020年 / 44卷 / 06期

关键词：

Coloring of graph; Factorial designs; Orthogonal arrays; Subgroups of symmetric groups; ORTHOGONAL ARRAYS; STRENGTH-3; BOUNDS;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Balanced fractional factorial designs or Orthogonal arrays (OAs) are popular structures in Quality Engineering and Statistical Quality Control. Orthogonal arrays of strength at least 2 have useful properties that can be employed for experimental designs, manufacturing, quality technology and for scientific discoveries in general. In this paper, we introduce a graph method and a group-theoretic approach for constructing mixed OAs of any strength, with a given parameter set of run-size and factor levels.

引用

页码：819 / 844

页数：26

共 50 条

[1] ANALYSIS OF VARIANCE OF BALANCED FRACTIONAL FACTORIAL-DESIGNS
KUWADA, M
DISCRETE MATHEMATICS, 1993, 116 (1-3) : 335 - 366
[2] BALANCED OPTIMAL 28 FRACTIONAL FACTORIAL DESIGNS OF RESOLUTION V
CHOPRA, DV
NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY, 1972, 19 (01): : A231 - &
[3] BALANCED FACTORIAL DESIGNS
KSHIRSAGAR, AM
JOURNAL OF THE ROYAL STATISTICAL SOCIETY SERIES B-STATISTICAL METHODOLOGY, 1966, 28 (03) : 559 - +
[4] FRACTIONAL FACTORIAL EXPERIMENTAL DESIGNS IN MARKETING RESEARCH
HOLLAND, CW
CRAVENS, DW
JOURNAL OF MARKETING RESEARCH, 1973, 10 (03) : 270 - 276
[5] Balanced fractional 3m factorial designs of resolution IV
Kuwada, M
Ikeda, K
JOURNAL OF STATISTICAL PLANNING AND INFERENCE, 1998, 73 (1-2) : 29 - 45
[6] BALANCED OPTIMAL 27 FRACTIONAL FACTORIAL DESIGNS OF RESOLUTION-V
CHOPRA, DV
SRIVASTA.JN
ANNALS OF MATHEMATICAL STATISTICS, 1970, 41 (03): : 1151 - &
[7] Characterization of Balanced Fractional 3m Factorial Designs of Resolution III
Yumiba, Hiromu
Hyodo, Yoshifumi
COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 2011, 40 (11) : 2074 - 2080
[8] BALANCED ARRAYS OF STRENGTH-4 AND BALANCED FRACTIONAL-3M FACTORIAL-DESIGNS
KUWADA, M
JOURNAL OF STATISTICAL PLANNING AND INFERENCE, 1979, 3 (04) : 347 - 360
[9] BALANCED ARRAYS OF STRENGTH 2L AND BALANCED FRACTIONAL 2M FACTORIAL DESIGNS
YAMAMOTO, S
SHIRAKURA, T
KUWADA, M
ANNALS OF THE INSTITUTE OF STATISTICAL MATHEMATICS, 1975, 27 (01) : 143 - 157
[10] MULTISTRATUM FRACTIONAL FACTORIAL DESIGNS
Cheng, Ching-Shui
Tsai, Pi-Wen
STATISTICA SINICA, 2011, 21 (03) : 1001 - 1021

← 1 2 3 4 5 →