Classification of three-word indicator functions of two-level factorial designs

DOI10.1007/s10463-006-0033-0zbMath1100.62075OpenAlexW2104919849MaRDI QIDQ853842

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/s10463-006-0033-0

zbMATH Keywords

indicator functionfractional factorial designnon-regular designfoldover design

Mathematics Subject Classification ID

Factorial statistical designs (62K15)

Related Items

Minimal average degree aberration and the state polytope for experimental 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 characterizations of affinely full-dimensional 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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• Connections between the resolutions of general two-level factorial designs
• Indicator function and its application in two-level factorial designs
• Classification of two-level factorial fractions
• Geometric isomorphism and minimum aberration for factorial designs with quantitative factors
• Indicator function and complex coding for mixed fractional factorial designs
• Generalised confounding with Grobner bases

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