Blocking in regular fractional factorials: A projective geometric approach

DOI10.1214/aos/1017938925zbMath0959.62066OpenAlexW1966158072MaRDI QIDQ1568271

Rahul Mukerjee, C. F. Jeff Wu

Publication date: 2 May 2001

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

Full work available at URL: https://doi.org/10.1214/aos/1017938925

zbMATH Keywords

resolutionminimum aberrationadmissible block designsmain effect pencilorder of estimability

Mathematics Subject Classification ID

Optimal statistical designs (62K05) Statistical block designs (62K10) Factorial statistical designs (62K15)

Related Items (14)

On regular fractional factorial experiments in row--column designs ⋮ 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 ⋮ Constructing minimum aberration split-plot designs via complementary sets when the whole plot factors are important ⋮ On the use of partial confounding for the construction of alternative regular two-level blocked fractional factorial designs ⋮ Structure function for aliasing patterns in \(2^{l-n}\) design with multiple groups of factors ⋮ Classification of efficient two-level fractional factorial designs of resolution IV or more ⋮ Minimum aberration blocking schemes for two- and three-level fractional factorial designs ⋮ Minimum aberration blocking schemes for 128-run designs ⋮ Complete enumeration of two-level orthogonal arrays of strength \(d\) with \(d+2\) constraints ⋮ Type 1 optimal \(2^m\) fractional factorial plans with \(n\equiv\ell \pmod 8\) runs, \(\ell=1,2\) ⋮ Existence and construction of randomization defining contrast subspaces for regular factorial designs ⋮ Blocked regular fractional factorial designs with maximum estimation capacity.

Cites Work

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• Regular fractional factorial designs with minimum aberration and maximum estimation capacity
• \(2^{n-l}\) 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
• 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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