Connections between the resolutions of general two-level factorial designs

DOI10.1007/s10463-005-0020-xzbMath1099.62081OpenAlexW2034173718MaRDI QIDQ853818

Po Yang, Narayanaswamy Balakrishnan

Publication date: 17 November 2006

Published in: Annals of the Institute of Statistical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10463-005-0020-x

zbMATH Keywords

indicator functiongeneralized resolutionextended word length patternfractional word length

Mathematics Subject Classification ID

Factorial statistical designs (62K15)

Related Items (9)

Classification of three-word indicator functions of two-level factorial designs ⋮ De-aliasing effects using semifoldover techniques ⋮ Construction on two-level factorials with flexible partially replicated runs via quarter foldover ⋮ Some lower bounds of centered \(L_2\)-discrepancy of \(2^{s-k}\) designs and their complementary designs ⋮ Optimal blocking and foldover plans for nonregular two-level designs ⋮ Forms of four-word indicator functions with implications to two-level factorial designs ⋮ Some properties of foldover designs with column permutations ⋮ Some applications of indicator function in two-level factorial designs ⋮ Blocked semifoldovers of two-level orthogonal designs

Cites Work

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• Indicator function and its application in two-level factorial designs
• Classification of two-level factorial fractions
• Minimum \(G_2\)-aberration for nonregular fractional factorial designs
• Geometric isomorphism and minimum aberration for factorial designs with quantitative factors
• Connections between Two-Level Designs of Resolutions III ∗ and V
• Small Composite Designs
• Generalised confounding with Grobner bases
• Irregular Fractions of the 2 n Factorial Experiments
• Smallest Composite Designs for Quadratic Response Surfaces

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