Minimum secondary aberration fractional factorial split-plot designs in terms of consulting designs

DOI10.1007/s11425-006-0494-xzbMath1123.94010OpenAlexW1855697404MaRDI QIDQ862693

Ming-Yao Ai, Run-Chu Zhang

Publication date: 24 January 2007

Published in: Science in China. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11425-006-0494-x

zbMATH Keywords

projective geometrycoding theorywordlength patternconsulting designfractional factorial split-plot designminimum secondary aberration

Mathematics Subject Classification ID

Combinatorial identities, bijective combinatorics (05A19) Linear codes (general theory) (94B05) Factorial statistical designs (62K15)

Related Items

Bounds on the maximum numbers of clear two-factor interactions for \(2^{(n_1 + n_2 ) - (k_1 + k_2 )}\) fractional factorial split-plot designs ⋮ Constructing minimum aberration split-plot designs via complementary sets when the whole plot factors are important ⋮ Constructing minimum aberration split-plot designs via complementary designs when the subplot factors are more important ⋮ Optimal two-level regular fractional factorial split-plot designs when the effects of subplot factors are more important ⋮ Multistratum fractional factorial split-plot designs with minimum aberration and maximum estimation capacity ⋮ Split-plot designs with general minimum lower-order confounding ⋮ Optimal fractional factorial split-plot designs when the whole plot factors are important ⋮ Some Results on Fractional Factorial Split-Plot Designs with Multi-Level Factors

Cites Work

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• Characterization of minimum aberration mixed factorials in terms of consulting designs
• Characterization of minimum aberration \(2^{n-k}\) designs in terms of their complementary designs
• Some identities on \(q^{n-m}\) designs with application to minimum aberration designs
• Some theoretical results for fractional factorial split-plot designs
• Theory of optimal blocking of \(2^{n-m}\) designs
• Optimal blocking of two-level fractional factorial designs
• Multistratum fractional factorial split-plot designs with minimum aberration and maximum estimation capacity
• Theory of minimum aberration blocked regular mixed factorial designs
• Theory of optimal blocking for fractional factorial split-plot designs
• Minimum Aberration 2 k-p Designs
• Theory of optimal blocking of nonregular factorial designs
• A Catalogue of Two-Level and Three-Level Fractional Factorial Designs with Small Runs