Projection properties of certain three level orthogonal arrays

Evangelaras, H; Koukouvinos, C; Dean, AM; Dingus, CA

dc.contributor.author	Evangelaras, H	en
dc.contributor.author	Koukouvinos, C	en
dc.contributor.author	Dean, AM	en
dc.contributor.author	Dingus, CA	en
dc.date.accessioned	2014-03-01T02:43:28Z
dc.date.available	2014-03-01T02:43:28Z
dc.date.issued	2005	en
dc.identifier.issn	0026-1335	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/31432
dc.subject	Average squared correlation	en
dc.subject	Generalized wordlength pattern	en
dc.subject	Isomorphism	en
dc.subject	Main effect plan	en
dc.subject	Orthogonal arrays	en
dc.subject	Projection properties	en
dc.subject.classification	Statistics & Probability	en
dc.subject.other	FRACTIONAL FACTORIAL-DESIGNS	en
dc.subject.other	SUPERSATURATED DESIGNS	en
dc.subject.other	MINIMUM ABERRATION	en
dc.subject.other	PLACKETT-BURMAN	en
dc.subject.other	SMALL RUNS	en
dc.title	Projection properties of certain three level orthogonal arrays	en
heal.type	conferenceItem	en
heal.identifier.primary	10.1007/s00184-005-0409-9	en
heal.identifier.secondary	http://dx.doi.org/10.1007/s00184-005-0409-9	en
heal.language	English	en
heal.publicationDate	2005	en
heal.abstract	Two orthogonal arrays based on 3 symbols are said to be isomorphic or combinatorially equivalent if one can be obtained from the other by a sequence of row permutations, column permutations and permutations of symbols in each column. Orthogonal arrays are used as screening designs to identify active main effects, after which the properties of the subdesign for estimating these effects and possibly their interactions become important. Such a subdesign is known as a ''projection design''. In this paper we have identified all the inequivalent projection designs of an OA(27,13,3,2), an OA(18,7,3,2) and an OA(36,13,3,2) into k=3,4 and 5 factors. It is shown that the generalized wordlength pattern criterion proposed by Ma and Fang [23] can distinguish between most, but not all, inequivalent classes. We propose an extension of the Es 2 criterion (which is commonly used for measuring efficiency of 2-level designs) to distinguish further between the non-isomorphic classes and to measure the efficiency of the designs in these classes. Some concepts on generalized resolution are also discussed. © Springer-Verlag 2005.	en
heal.publisher	PHYSICA-VERLAG GMBH & CO	en
heal.journalName	Metrika	en
dc.identifier.doi	10.1007/s00184-005-0409-9	en
dc.identifier.isi	ISI:000232497800010	en
dc.identifier.volume	62	en
dc.identifier.issue	2-3	en
dc.identifier.spage	241	en
dc.identifier.epage	257	en