CHARACTERIZATION OF SINGULAR BALANCED FRACTIONAL SM FACTORIAL-DESIGNS DERIVABLE FROM BALANCED ARRAYS WITH MAXIMUM NUMBER OF CONSTRAINTS

被引：0

作者：

YUAN, FZ ^{[1
]}

机构：

[1] EDOGAWA UNIV,CHIBA 27001,JAPAN

来源：

COMMUNICATIONS IN STATISTICS-THEORY AND METHODS | 1992年 / 21卷 / 07期

关键词：

COMBINATORIAL PROBLEMS; SINGULAR DESIGNS; DESIGN OF EXPERIMENTS;

D O I：

10.1080/03610929208830886

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：

An upper bound on the maximum number of constraints for s-symbol balanced arrays is derived. It is shown that balanced fractional s(m) factorial designs derived from some balanced arrays with the maximum possible number of constraints become singular.

引用

页码：1891 / 1907

页数：17

共 30 条

[1] ANALYSIS OF VARIANCE OF BALANCED FRACTIONAL FACTORIAL-DESIGNS
KUWADA, M
[J]. DISCRETE MATHEMATICS, 1993, 116 (1-3) : 335 - 366
[2] BALANCED ARRAYS OF STRENGTH-4 AND BALANCED FRACTIONAL-3M FACTORIAL-DESIGNS
KUWADA, M
[J]. JOURNAL OF STATISTICAL PLANNING AND INFERENCE, 1979, 3 (04) : 347 - 360
[3] ROBUSTNESS OF BALANCED FRACTIONAL 2(M) FACTORIAL-DESIGNS DERIVED FROM SIMPLE ARRAYS
KUWADA, M
[J]. DISCRETE MATHEMATICS, 1993, 116 (1-3) : 183 - 208
[4] ON THE CHARACTERISTIC POLYNOMIAL OF THE INFORMATION MATRIX OF BALANCED FRACTIONAL SM FACTORIAL-DESIGNS OF RESOLUTION VP,Q
KUWADA, M
NISHII, R
[J]. JOURNAL OF STATISTICAL PLANNING AND INFERENCE, 1988, 18 (01) : 101 - 114
[5] ON ROBUSTNESS OF BALANCED FRACTIONAL 2M FACTORIAL-DESIGNS OF RESOLUTION-VII DERIVED FROM SIMPLE ARRAYS
KUWADA, M
MATSUURA, M
[J]. COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 1984, 13 (14) : 1675 - 1691
[6] CHARACTERIZATION OF INFORMATION MATRICES FOR BALANCED 2-LEVEL FRACTIONAL FACTORIAL-DESIGNS OF ODD RESOLUTION DERIVED FROM 2-SYMBOL SIMPLE ARRAYS
HYODO, Y
[J]. COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 1994, 23 (07) : 1859 - 1874
[7] BALANCED ARRAYS OF STRENGTH 2L AND BALANCED FRACTIONAL 2M FACTORIAL DESIGNS
YAMAMOTO, S
SHIRAKURA, T
KUWADA, M
[J]. ANNALS OF THE INSTITUTE OF STATISTICAL MATHEMATICS, 1975, 27 (01) : 143 - 157
[8] ANALYSIS OF VARIANCE OF BALANCED FRACTIONAL S(M) FACTORIAL-DESIGNS OF RESOLUTION V(P,Q)
HYODO, Y
KUWADA, M
[J]. JOURNAL OF STATISTICAL PLANNING AND INFERENCE, 1994, 38 (02) : 263 - 277
[9] BEST ALIAS DESIGNS IN SOME CLASS OF BALANCED FRACTIONAL 3M FACTORIAL-DESIGNS OF RESOLUTION-V
KUWADA, M
[J]. COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 1983, 12 (09) : 1039 - 1051
[10] Characterization of Balanced Fractional 3m Factorial Designs of Resolution III
Yumiba, Hiromu
Hyodo, Yoshifumi
[J]. COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 2011, 40 (11) : 2074 - 2080

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