Clear two-factor interactions and minimum aberration

DOI10.1214/aos/1035844985zbMath1015.62083OpenAlexW1981034243MaRDI QIDQ1873603

Huaiqing Wu, C. F. Jeff Wu

Publication date: 10 August 2003

Published in: The Annals of Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1214/aos/1035844985

zbMATH Keywords

resolutionalias setsdefining contrast subgroupsword-length patterns

Mathematics Subject Classification ID

Applications of graph theory (05C90) Factorial statistical designs (62K15)

Related Items (30)

Clear two-factor interactions and minimum aberration ⋮ Designs containing partially clear main effects ⋮ Minimal average degree aberration and the state polytope for experimental designs ⋮ A note on extending the alias length pattern ⋮ An efficient method for identifying clear effects in blocked fractional factorial designs ⋮ On simplifying the calculations leading to designs with general minimum lower-order confounding ⋮ Asymmetrical factorial designs containing clear effects ⋮ D-optimal two-level orthogonal arrays for estimating main effects and some specified two-factor interactions ⋮ 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 ⋮ A note on constructing clear compromise plans ⋮ Nonregular two-level designs of resolution IV or more containing clear two-factor interactions ⋮ Mixed-level designs with resolution III or IV containing clear two-factor interaction components ⋮ Design for order‐of‐addition experiments with two‐level components ⋮ Asymmetrical split-plot designs with clear effects ⋮ On blocked resolution IV designs containing clear two-factor interactions ⋮ On constructing general minimum lower order confounding two-level block designs ⋮ On construction of blocked general minimum lower-order confounding \(2^{n - m} : 2^r\) designs with \(N / 4 + 1 \leq n \leq 5 N / 16\) ⋮ \(2^m 4^n\) designs with resolution III or IV containing clear two-factor interaction components ⋮ Some results on \(4^m 2^n\) designs with clear two-factor interaction components ⋮ Grid representations for \(2^{m-(m-k)}_{\text{IV}}\) join designs containing maximum number of clear two-factor interactions ⋮ On construction of general minimum lower order confounding \(2^{n - m}\) designs with \(N/4+1\leq n\leq 9N/32\) ⋮ Compromise \(4^m2^n\) plans with clear two-factor interactions ⋮ Efficient high-precision matrix algebra on parallel architectures for nonlinear combinatorial optimization ⋮ A note on minimum aberration and clear criteria ⋮ Some results on blocked regular 2-level fractional factorial designs with clear effects ⋮ \(2^{(n_{1}+n_{2})-(k_{1}+k_{2})}\) fractional factorial split-plot designs containing clear effects ⋮ Complete enumeration of two-level orthogonal arrays of strength \(d\) with \(d+2\) constraints ⋮ A Note on the Lower Bounds on Maximum Number of Clear Two-Factor Interactions for (2^m−p_III) and (2^m−p_IV) Designs ⋮ Mixed 2- and \(2^r\)-level fractional factorial split-plot designs with clear effects ⋮ Three-level regular designs with general minimum lower-order confounding

Cites Work

• Some results on \(2^{n-k}\) fractional factorial designs and search for minimum aberration designs
• \(2^{n-m}\) designs with resolution III or IV containing clear two-factor interactions
• Clear two-factor interactions and minimum aberration
• Bounds on the maximum number of clear two-factor interactions for 2m-pdesigns of resolution III and IV
• Minimum Aberration 2 k-p Designs
• Minimum Aberration and Model Robustness for Two-Level Fractional Factorial Designs
• A Catalogue of Two-Level and Three-Level Fractional Factorial Designs with Small Runs
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