Fractional Factorial Designs with Admissible Sets of Clear Two-Factor Interactions

dc.contributor.author Wu, Huaiqing
dc.contributor.author Mee, Robert
dc.contributor.author Tang, Boxin
dc.contributor.department Statistics
dc.date 2018-02-16T21:33:45.000
dc.date.accessioned 2020-07-02T06:55:50Z
dc.date.available 2020-07-02T06:55:50Z
dc.date.issued 2008-11-01
dc.description.abstract <p>We consider the problem of selecting two-level fractional factorial designs that allow joint estimation of all main effects and some specified two-factor interactions (2fi’s) without aliasing from other 2fi’s. This problem is to find, among all 2m−p designs with given m and p, those resolution IV designs whose sets of clear 2fi’s contain the specified 2fi’s as subsets. A 2fi is clear if it is not aliased with any main effect or any other 2fi. We use a linear graph to represent the set of clear 2fi’s for a resolution IV design, where each line connecting two vertices represents a clear 2fi between the two vertices. We call a 2m−p resolution IV design admissible if its graph is not a real subgraph of any other graphs of 2m−p resolution IV designs. We show that all even resolution IV designs are inadmissible. In fact, the number of admissible designs is much smaller than the number of non-isomorphic designs. This leads to a concise catalog of all admissible designs of 32 and 64 runs. We also use an algorithm to determine all admissible 128-run resolution IV designs, but only provide some representative designs here.</p>
dc.description.comments <p>This preprint was published as Huaiqing Wu, Robert Mee & Boxin Tang, "Fractional Factorial Designs with Admissible Sets of Clear Two-Factor Interactions", <em>Technometrics</em> (2012): 191-197, doi: <a href="http://dx.doi.org/10.1080/00401706.2012.676956" target="_blank">10.1080/00401706.2012.676956</a>.</p>
dc.identifier archive/lib.dr.iastate.edu/stat_las_preprints/107/
dc.identifier.articleid 1098
dc.identifier.contextkey 7443803
dc.identifier.s3bucket isulib-bepress-aws-west
dc.identifier.submissionpath stat_las_preprints/107
dc.identifier.uri https://dr.lib.iastate.edu/handle/20.500.12876/90265
dc.language.iso en
dc.source.bitstream archive/lib.dr.iastate.edu/stat_las_preprints/107/2008_WuH_FractionalFactorialDesigns.pdf|||Fri Jan 14 18:26:24 UTC 2022
dc.subject.disciplines Statistics and Probability
dc.subject.keywords alias set
dc.subject.keywords clear compromise plan
dc.subject.keywords clear effect
dc.subject.keywords even design
dc.subject.keywords minimum aberration
dc.subject.keywords requirement set
dc.title Fractional Factorial Designs with Admissible Sets of Clear Two-Factor Interactions
dc.type article
dc.type.genre article
dspace.entity.type Publication
relation.isOrgUnitOfPublication 264904d9-9e66-4169-8e11-034e537ddbca
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