ON THE CONSTRUCTION OF ASYMMETRICAL ORTHOGONAL ARRAYS

被引:25
作者
HEDAYAT, AS
PU, KW
STUFKEN, J
机构
[1] BAXTER HEALTHCARE CORP,ROUND LAKE,IL 60073
[2] IOWA STATE UNIV SCI & TECHNOL,DEPT STAT,AMES,IA 50011
关键词
FRACTIONAL FACTORIAL DESIGNS; MAIN-EFFECT PLANS; ORTHOGONAL ARRAYS; DIFFERENCE SCHEMES; RESOLVABILITY; KRONECKER SUMS;
D O I
10.1214/aos/1176348908
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
General techniques for the construction of asymmetrical orthogonal arrays of strength 2 are presented. These are then applied to special cases to obtain new families of such arrays. Among these are saturated main-effect plans based on s(m) runs with factors at s(v)i levels, i = 0, 1,..., r, where m greater-than-or-equal-to v(r), v0 = 1, v(i-1) divides v(i), i = 1, 2,..., r, and s is a prime power.
引用
收藏
页码:2142 / 2152
页数:11
相关论文
共 21 条
[1]   SOME MAIN-EFFECT PLANS AND ORTHOGONAL ARRAYS OF STRENGTH 2 [J].
ADDELMAN, S ;
KEMPTHORNE, O .
ANNALS OF MATHEMATICAL STATISTICS, 1961, 32 :1167-+
[2]   ORTHOGONAL MAIN-EFFECT PLANS FOR ASYMMETRICAL FACTORIAL EXPERIMENTS [J].
ADDELMAN, S .
TECHNOMETRICS, 1962, 4 (01) :21-+
[3]   SYMMETRICAL AND ASYMMETRICAL FRACTIONAL FACTORIAL PLANS [J].
ADDELMAN, S .
TECHNOMETRICS, 1962, 4 (01) :47-+
[4]  
ADDELMAN S, 1961, 79 AER RES LAB TECHN
[5]   ORTHOGONAL ARRAYS OF STRENGTH 2 AND 3 [J].
BOSE, RC ;
BUSH, KA .
ANNALS OF MATHEMATICAL STATISTICS, 1952, 23 (04) :508-524
[6]  
BUSH KA, 1950, THESIS U N CAROLINA
[7]  
CHACKO A, 1981, SANKHYA B, V43, P384
[8]   SOME ORTHOGONAL MAIN-EFFECT PLANS FOR ASYMMETRICAL FACTORIALS [J].
CHENG, CS .
TECHNOMETRICS, 1989, 31 (04) :475-477
[9]  
Dey A., 1985, ORTHOGONAL FRACTIONA
[10]   ORTHOGONAL F-RECTANGLES, ORTHOGONAL ARRAYS, AND CODES [J].
FEDERER, WT ;
MANDELI, JP .
JOURNAL OF COMBINATORIAL THEORY SERIES A, 1986, 43 (02) :149-164