BOUND ON THE MAXIMUM NUMBER OF CLEAR TWO-FACTOR INTERACTIONS FOR 2n-(n-k) DESIGNS

doi:10.1016/S0252-9602(08)60094-6

数学物理学报(英文版)

BOUND ON THE MAXIMUM NUMBER OF CLEAR TWO-FACTOR INTERACTIONS FOR 2^n-(n-k) DESIGNS

赵胜利; 张润楚

曲阜师范大学数学学院, 曲阜 273165

收稿日期:2005-12-28 修回日期:2006-11-17 出版日期:2008-10-20 发布日期:2008-10-20
通讯作者: 赵胜利
基金资助:
Research supported by NNSF of China (10571093, 10671099 and 10771123), SRFDP of China (20050055038) NSF of Shandong Province of China (Q2007A05), Zhang’s research was also supported by the Visiting Scholar Program at Chern Institute of Mathematics

BOUND ON THE MAXIMUM NUMBER OF CLEAR TWO-FACTOR INTERACTIONS FOR 2^n-(n-k) DESIGNS

Zhao Shengli; Zhang Runchu

1.School of Mathematical Sciences, Qufu Normal University, Qufu 273165, China; 2.LPMC and Department of Statistics, School of Mathematical Sciences Nankai University, Tianjin 300071, China

Received:2005-12-28 Revised:2006-11-17 Online:2008-10-20 Published:2008-10-20
Contact: Zhao Shengli

摘要/Abstract

摘要：

Clear effects criterion is an important criterion for selecting fractional factorial designs [1]. Tang et al. [2] derived upper and lower bounds on the maximum number of clear two-factor interactions (2fi’s) in 2^n-(n-k) designs of resolution III and IV by constructing 2^n-(n-k) designs. But the method in [2] does not perform well sometimes when the resolution is III. This article modifies the construction method for 2^n-(n-k) designs of resolution III in [2]. The modified method is a great improvement on that used in [2].

关键词: Random fractional design, clear, resolution

Abstract:

Key words: Random fractional design, clear, resolution

中图分类号:

62K15

赵胜利; 张润楚. BOUND ON THE MAXIMUM NUMBER OF CLEAR TWO-FACTOR INTERACTIONS FOR 2^n-(n-k) DESIGNS[J]. 数学物理学报(英文版), 2008, 28(4): 949-954.

Zhao Shengli; Zhang Runchu. BOUND ON THE MAXIMUM NUMBER OF CLEAR TWO-FACTOR INTERACTIONS FOR 2^n-(n-k) DESIGNS[J]. Acta mathematica scientia,Series B, 2008, 28(4): 949-954.

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BOUND ON THE MAXIMUM NUMBER OF CLEAR TWO-FACTOR INTERACTIONS FOR 2^n-(n-k) DESIGNS

BOUND ON THE MAXIMUM NUMBER OF CLEAR TWO-FACTOR INTERACTIONS FOR 2^n-(n-k) DESIGNS

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