A general theory of minimum aberration and its applications

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dc.creatorCheng, Ching-Shui
dc.creatorTang, Boxin
dc.date2005-05-30
dc.date.accessioned2026-07-07T08:06:58Z
dc.date.available2026-07-07T08:06:58Z
dc.descriptionMinimum aberration is an increasingly popular criterion for comparing and assessing fractional factorial designs, and few would question its importance and usefulness nowadays. In the past decade or so, a great deal of work has been done on minimum aberration and its various extensions. This paper develops a general theory of minimum aberration based on a sound statistical principle. Our theory provides a unified framework for minimum aberration and further extends the existing work in the area. More importantly, the theory offers a systematic method that enables experimenters to derive their own aberration criteria. Our general theory also brings together two seemingly separate research areas: one on minimum aberration designs and the other on designs with requirement sets. To facilitate the design construction, we develop a complementary design theory for quite a general class of aberration criteria. As an immediate application, we present some construction results on a weak version of this class of criteria.
dc.descriptionPublished at http://dx.doi.org/10.1214/009053604000001228 in the Annals of Statistics (http://www.imstat.org/aos/) by the Institute of Mathematical Statistics (http://www.imstat.org)
dc.identifierhttps://arxiv.org/abs/math/0505642
dc.identifierhttp://arxiv.org/abs/math/0505642
dc.identifierAnnals of Statistics 2005, Vol. 33, No. 2, 944-958
dc.identifierdoi:10.1214/009053604000001228
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/130784
dc.subjectStatistics Theory
dc.subject62K15 (Primary)
dc.titleA general theory of minimum aberration and its applications
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