Acta mathematica scientia,Series B

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

Zhao Shengli; Zhang Runchu   

  1. 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

Abstract:

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 2n-(n-k) designs of resolution III and IV by constructing 2n-(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 2n-(n-k) designs of resolution III in [2]. The modified method is a great improvement on that used in [2].

Key words: Random fractional design, clear, resolution

CLC Number: 

  • 62K15
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