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A catalogue of three-level regular fractional factorial designs. (English) Zbl 1078.62084
Summary: A common problem that experimenters face is the choice of fractional factorial designs. Minimum aberration designs are commonly used in practice. There are situations in which other designs meet practical needs better. A catalogue of designs would help experimenters choose the best design.
Based on coding theory, new methods are proposed to classify and rank fractional factorial designs efficiently. We have completely enumerated all 27 and 81-run designs, 243-run designs of resolution IV or higher, and 729-run designs of resolution \(V\) or higher. A collection of useful fractional factorial designs with 27, 81, 243 and 729 runs is given. This extends work of J. Chen, D. X. Sun and C. F. J. Wu [Int. Stat. Rev. 61, 131–145 (1993; Zbl 0768.62058)], who gave a collection of fractional factorial designs with 16, 27, 32 and 64 runs.

MSC:
62K15 Factorial statistical designs
94B05 Linear codes (general theory)
62Q05 Statistical tables
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