Two-level orthogonal designs in 24 and 28 runs

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

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

Abstract: Due to incomplete previous approaches it is largely unclear which are the best 24-run and 28-run two-level designs in terms of any of the criteria currently in use to evaluate designs. In the present paper, we address this issue. First, we study the complete catalog of non-isomorphic orthogonal two-level 24-run designs involving 3-23 factors and we identify the best few designs in terms of aliasing between main effects and two-factor interaction effects and, subject to this, in terms of aliasing among two-factor interaction effects. Next, by modifying an existing enumeration algorithm, we identify the best few 28-run designs involving 3-14 factors. Based on a complete catalog of 7570 designs with 28 runs and 27 factors, we also seek good designs with more than 14 factors. To demonstrate the added value of our work, we provide a detailed comparison of our designs to the alternatives available in the literature.

Keywords: G-Aberration; G2-Aberration; Hadamard matrix; Orthogonal array; Plackett-Burman design (search for similar items in EconPapers)
Pages: 34 pages
Date: 2015-08
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:ant:wpaper:2015016

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