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\(2^{n-l}\) designs with weak minimum aberration. (English) Zbl 0867.62066

Summary: Since not all \(2^{n-l}\) fractional factorial designs with maximum resolution are equally good, A. Fries and W. G. Hunter [Technometrics 22, 601-608 (1980; Zbl 0453.62063)] introduced the minimum aberration criterion for selecting good \(2^{n-l}\) fractional factorial designs with the same resolution. We modify the concept of minimum aberration and define weak minimum aberration and show the usefulness of this new design concept.
Using some techniques from finite geometry, we construct \(2^{n-l}\) fractional factorial designs of resolution III with weak minimum aberration. Further, several families of \(2^{n-l}\) fractional factorial designs of resolution III and IV with minimum aberration are obtained.

MSC:

62K15 Factorial statistical designs
62K05 Optimal statistical designs
05B25 Combinatorial aspects of finite geometries

Citations:

Zbl 0453.62063
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References:

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