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Optimal weighing designs and some new weighing matrices

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  • Koukouvinos, Christos

Abstract

In experimental situations where n three-level factors are involved and n observations are taken, we obtain orthogonal designs from weighing matrices. In factorial experiments the use of orthogonal designs contributes decisively to the reduction of variance which is considered to be a significant factor in the improvement of industrial products. Sequences with elements 0, 1, -1 and zero autocorrelation function can be used to construct weighing matrices. In this paper we discuss some constructions of weighing designs. We give some new {0,1, -1} sequences with zero autocorrelation function from which we construct some new weighing matrices.

Suggested Citation

  • Koukouvinos, Christos, 1995. "Optimal weighing designs and some new weighing matrices," Statistics & Probability Letters, Elsevier, vol. 25(1), pages 37-42, October.
  • Handle: RePEc:eee:stapro:v:25:y:1995:i:1:p:37-42
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    Cited by:

    1. Jacroux, Mike, 2008. "A note on the construction of optimal main effects plans in blocks of size two," Statistics & Probability Letters, Elsevier, vol. 78(15), pages 2366-2370, October.

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