A code arithmetic approach for quaternary code designs and its application to \((1/64)\)th-fractions

DOI10.1214/12-AOS1069zbMath1296.62154arXiv1302.6748OpenAlexW1963482625MaRDI QIDQ741820

Frederick Kin Hing Phoa

Publication date: 15 September 2014

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

Full work available at URL: https://arxiv.org/abs/1302.6748

zbMATH Keywords

generalized minimum aberrationgeneralized wordlength patternaliasing indexgeneralized resolutionquaternary-code designstructure periodicity

Mathematics Subject Classification ID

Factorial statistical designs (62K15)

Related Items (13)

A search of maximum generalized resolution quaternary-code designs via integer linear programming ⋮ Fast construction of efficient two-level parallel flats designs ⋮ Theory of \(J\)-characteristics of four-level designs under quaternary codes ⋮ An adjusted gray map technique for constructing large four-level uniform designs ⋮ A complementary set theory for quaternary code designs ⋮ New results on quaternary codes and their Gray map images for constructing uniform designs ⋮ Construction of four-level and mixed-level designs with zero Lee discrepancy ⋮ Two-level parallel flats designs ⋮ Constructing optimal four-level designs via Gray map code ⋮ New lower bounds of four-level and two-level designs via two transformations ⋮ A systematic construction approach for nonregular fractional factorial four-level designs via quaternary linear codes ⋮ Designing optimal large four-level experiments: a new technique without recourse to optimization softwares ⋮ Construction of multi-level space-filling designs via code mappings

Cites Work

• One-eighth- and one-sixteenth-fraction quaternary code designs with high resolution
• A trigonometric approach to quaternary code designs with application to one-eighth and one-sixteenth fractions
• Quarter-fraction factorial designs constructed via quaternary codes
• Recent developments in nonregular fractional factorial designs
• Minimum \(G_2\)-aberration for nonregular fractional factorial designs
• A modern theory of factorial designs.
• Theory of J-characteristics for fractional factorial designs and projection justification of minimum G2-aberration
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