Orthogonal blocking arrangements for 24-run and 28-run two-level designs

Eric D. Schoen, Nha Vo-Thanh and Peter Goos ()

Working Papers from University of Antwerp, Faculty of Business and Economics

Abstract: Much research has been done recently concerning 24-run two-level designs involving 3–23 factors and 28-run two-level designs involving 3–27 factors. The focus of this research was on completely randomized screening designs, and led to lists of recommended designs for each number of factors. For the recommended designs, the aliasing between main effects and two-factor interaction effects is either nonexisting or very limited, and, subject to this, the aliasing among two-factor interaction effects is minimized. It is, however, unclear which 24-run and 28-run designs are best when complete randomization is infeasible and the designs have to be arranged in blocks. In this paper, we address this issue and present the best arrangements of 24-run designs in 3, 4 or 6 blocks, and the best arrangements of 28-run designs in 7 blocks.

Keywords: Confounding frequency vector; G-aberration; G2-aberration; Generalized word-length; Pattern; Orthogonal array; Orthogonal blocking (search for similar items in EconPapers)
Pages: 22 pages
Date: 2016-02
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Persistent link: https://EconPapers.repec.org/RePEc:ant:wpaper:2016002

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