18-run nonisomorphic three level orthogonal arrays

被引:25
|
作者
Evangelaras, H. [1 ]
Koukouvinos, C. [1 ]
Lappas, E. [1 ]
机构
[1] Natl Tech Univ Athens, Dept Math, Athens 15773, Greece
关键词
orthogonal arrays; isomorphism; construction algorithm; projection properties;
D O I
10.1007/s00184-006-0085-4
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
In this paper we construct all possible orthogonal arrays OA(18,q, 3,2) with 18 runs and 3 <= q <= 7 columns and present those that are nonisomorphic. A discussion on the novelty and the superiority of many of the designs found in terms of isomorphism and generalized minimum aberration has been made.
引用
收藏
页码:31 / 37
页数:7
相关论文
共 50 条
  • [41] Orthogonal blocking arrangements for 24-run and 28-run two-level designs
    Schoen, Eric D.
    Nha Vo-Thanh
    Goos, Peter
    JOURNAL OF QUALITY TECHNOLOGY, 2019, 51 (02) : 143 - 158
  • [42] Selection of partial replication on two-level orthogonal arrays
    Tsai, Shin-Fu
    Liao, Chen-Tuo
    CANADIAN JOURNAL OF STATISTICS-REVUE CANADIENNE DE STATISTIQUE, 2014, 42 (01): : 168 - 183
  • [43] Level changes and trend resistance on replacement in asymmetric orthogonal arrays
    Wang, PC
    Chen, MH
    JOURNAL OF STATISTICAL PLANNING AND INFERENCE, 1998, 69 (02) : 349 - 358
  • [44] Selecting strong orthogonal arrays by linear allowable level permutations
    Chen, Guanzhou
    Tang, Boxin
    ELECTRONIC JOURNAL OF STATISTICS, 2024, 18 (02): : 3573 - 3589
  • [45] Orthogonal arrays of strength three and size 2r
    Suen, CY
    STATISTICA SINICA, 2005, 15 (03) : 731 - 749
  • [46] Construction of orthogonal arrays of strength three by augmented difference schemes
    Zhang, Xiao
    Pang, Shanqi
    Chen, Guangzhou
    DISCRETE MATHEMATICS, 2022, 345 (11)
  • [47] Some hidden projection properties of orthogonal arrays with strength three
    Cheng, CS
    BIOMETRIKA, 1998, 85 (02) : 491 - 495
  • [48] An approach of constructing mixed-level orthogonal arrays of strength≥3
    JIANG Ling
    YIN JianXing
    ScienceChina(Mathematics), 2013, 56 (06) : 1109 - 1115
  • [49] TO ANALYZE BINARY DATA FROM MIXED-LEVEL ORTHOGONAL ARRAYS
    WANG, PC
    CHEN, MH
    WEI, SC
    COMPUTATIONAL STATISTICS & DATA ANALYSIS, 1995, 20 (06) : 689 - 695
  • [50] CONSTRUCTIONS OF OPTIMAL 2-LEVEL ORTHOGONAL ARRAYS WITH REPEATED ROWS
    Du, Jiao
    Chen, Ziyu
    Chen, Guangzhou
    Lim, Yueyue
    Pang, Shanqi
    ADVANCES IN MATHEMATICS OF COMMUNICATIONS, 2025, 19 (02) : 379 - 396