Blocked regular fractional factorial designs with maximum estimation capacity.

DOI10.1214/aos/1009210551zbMath1041.62064OpenAlexW1530212963MaRDI QIDQ1848870

Ching-Shui Cheng, Rahul Mukerjee

Publication date: 14 November 2002

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

Full work available at URL: https://doi.org/10.1214/aos/1009210551

zbMATH Keywords

projective geometrywordlength patternalias patterns

Mathematics Subject Classification ID

Optimal statistical designs (62K05) Factorial statistical designs (62K15)

Related Items (12)

On regular fractional factorial experiments in row--column designs ⋮ Algorithm for determining whether various two-level fractional factorial split-plot row–column designs are non-isomorphic ⋮ A general theory of minimum aberration and its applications ⋮ Preserving projection properties when regular two-level designs are blocked ⋮ Blocked regular fractional factorial designs with minimum aberration ⋮ On the use of partial confounding for the construction of alternative regular two-level blocked fractional factorial designs ⋮ On construction of optimal two-level designs with multi block variables ⋮ Blocked two-level regular designs with general minimum lower order confounding ⋮ Minimum aberration designs for discrete choice experiments ⋮ Theory of optimal blocking of \(2^{n-m}\) designs ⋮ Mixed-level designs with multi block variables containing clear two-factor interaction components ⋮ A theory on constructing blocked two-level designs with general minimum lower order confounding

Cites Work

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• \(2^{n-l}\) designs with weak minimum aberration
• 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
• Blocking in regular fractional factorials: A projective geometric approach
• Selecting Defining Contrasts and Confounded Effects in p n-m Factorial Experiments
• Minimum Aberration 2 k-p Designs
• Patterns of confounding in factorial designs
• Minimum Aberration and Model Robustness for Two-Level Fractional Factorial Designs
• Optimal Blocking Schemes for 2 n and 2 n-p Designs
• Fractional Resolution and Minimum Aberration in Blocked 2 n-k Designs
• A Catalogue of Two-Level and Three-Level Fractional Factorial Designs with Small Runs

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