Title
Classification of three-level strength-3 arrays Classification of three-level strength-3 arrays
Author
Faculty/Department
Faculty of Applied Economics
Publication type
article
Publication
Amsterdam
Subject
Economics
Mathematics
Source (journal)
Journal of statistical planning and inference. - Amsterdam
Volume/pages
142(2012) , p. 794-809
142(2012) :4 , p. 794-809
ISSN
0378-3758
ISI
000299856500003
Carrier
E
Target language
English (eng)
Full text (Publishers DOI)
Affiliation
University of Antwerp
Abstract
Generalizedaberration(GA)isoneofthemostfrequentlyusedcriteriatoquantifythe suitabilityofanorthogonalarray(OA)tobeusedasanexperimentaldesign.Thetwo mainmotivationsforGAarethatitquantifiesbiasinamain-effectsonlymodelandthat it isagoodsurrogateforestimationefficienciesofmodelswithallthemaineffectsand sometwo-factorinteractioncomponents.Wedemonstratethatthesemotivationsare not appropriateforthree-levelOAsofstrength3andweproposeadirectclassification with othercriteriainstead.Toillustrate,weclassifiedcompleteseriesofthree-level strength-3OAswith27,54and81runsusingtheGAcriterion,therankofthematrix with two-factorinteractioncontrasts,theestimationefficiencyoftwo-factorinterac- tions,theprojectionestimationcapacity,andanewmodelrobustnesscriterion.Forall of theseries,weprovidealistofadmissibledesignsaccordingtothesecriteria.
E-info
https://repository.uantwerpen.be/docman/iruaauth/47014b/1bcc71aa32b.pdf
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