Quarter-fraction factorial designs constructed via quaternary codes

DOI10.1214/08-AOS656zbMath1173.62058arXiv0908.3438OpenAlexW2951981343MaRDI QIDQ834351

Hongquan Xu, Frederick Kin Hing Phoa

Publication date: 19 August 2009

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

Full work available at URL: https://arxiv.org/abs/0908.3438

zbMATH Keywords

projectivityfractional factorial designgeneralized minimum aberrationaliasing indexgeneralized resolutionnonregular design

Mathematics Subject Classification ID

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

Related Items (20)

A search of maximum generalized resolution quaternary-code designs via integer linear programming ⋮ A CLASS OF MULTILEVEL NONREGULAR DESIGNS FOR STUDYING QUANTITATIVE FACTORS ⋮ Fast construction of efficient two-level parallel flats designs ⋮ On Construction of Nonregular Two-Level Factorial Designs With Maximum Generalized Resolutions ⋮ One-eighth- and one-sixteenth-fraction quaternary code designs with high resolution ⋮ 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 ⋮ A trigonometric approach to quaternary code designs with application to one-eighth and one-sixteenth fractions ⋮ Recent developments in nonregular fractional factorial designs ⋮ A code arithmetic approach for quaternary code designs and its application to \((1/64)\)th-fractions ⋮ Construction of four-level and mixed-level designs with zero Lee discrepancy ⋮ Two-level parallel flats designs ⋮ Multiple doubling: a simple effective construction technique for optimal two-level experimental 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

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