Acta mathematica scientia,Series B ›› 2000, Vol. 20 ›› Issue (4): 558-562.

• Articles • Previous Articles     Next Articles

COMPUTATION OF THE E(s2) VALUES OF SOME E(s2) OPTIMAL SUPERSATURATED DESIGNS

 LIU Min-Qian, ZHANG Run-Chu   

  1. School of Management, Tianjin University, Tianjin 300072, China School of Mathematics, Nankai University, Tianjin 300071, China
  • Received:1998-10-21 Online:2000-06-15 Published:2000-06-15
  • Supported by:

    This research was supported by the NNSF project 19771049 of China

Abstract:

A supersaturated design is a design whose run size is not enough for estimating
all the main effects represented by the columns of the design matrix. It is widely used in
the preliminary stages of industrial statistics and other scientific experiments. In this
paper, formulas for computing the E(s2) values of E(s2) optimal supersaturated designs
with m = t(n − 1) ± e(e = 1 and 2) are given, and the accuracy and convenience of using
these formulas are demonstrated by an example.

Key words: Supersaturated design, BIB design(BIBD), effect sparsity, generating vector

CLC Number: 

  • 62K15
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