Some orthogonal arrays with 32 runs and their projection properties

Evangelaras, H; Kolaiti, E; Koukouvinos, C

dc.contributor.author	Evangelaras, H	en
dc.contributor.author	Kolaiti, E	en
dc.contributor.author	Koukouvinos, C	en
dc.date.accessioned	2014-03-01T01:25:10Z
dc.date.available	2014-03-01T01:25:10Z
dc.date.issued	2006	en
dc.identifier.issn	0026-1335	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/17578
dc.subject	Circulant cores	en
dc.subject	Distinct runs	en
dc.subject	Generalized projectivity	en
dc.subject	Generalized resolution	en
dc.subject	Generalized wordlength pattern	en
dc.subject	Hadamard matrices	en
dc.subject	Orthogonal arrays	en
dc.subject	Screening designs	en
dc.subject.classification	Statistics & Probability	en
dc.subject.other	FRACTIONAL FACTORIAL-DESIGNS	en
dc.subject.other	MINIMUM ABERRATION CRITERIA	en
dc.subject.other	PLACKETT-BURMAN	en
dc.title	Some orthogonal arrays with 32 runs and their projection properties	en
heal.type	journalArticle	en
heal.identifier.primary	10.1007/s00184-005-0018-7	en
heal.identifier.secondary	http://dx.doi.org/10.1007/s00184-005-0018-7	en
heal.language	English	en
heal.publicationDate	2006	en
heal.abstract	Screening designs are useful for situations where a large number of factors are examined but only a few, k, of them are expected to be important. Traditionally orthogonal arrays such as Hadamard matrices and Plackett Burman designs have been studied for this purpose. It is therefore of practical interest for a given k to know all the classes of inequivalent projections of the design into the k dimensions that have certain statistical properties. In this paper we present 15 inequivalent Hadamard matrices of order n = 32 constructed from circulant cores. We study their projection properties using several well-known statistical criteria and we provide minimum generalized aberration 2 level designs with 32 runs and up to seven factors that are embedded into these Hadamard matrices. A concept of generalized projectivity and design selection of such designs is also discussed.	en
heal.publisher	PHYSICA-VERLAG GMBH & CO	en
heal.journalName	Metrika	en
dc.identifier.doi	10.1007/s00184-005-0018-7	en
dc.identifier.isi	ISI:000237190100002	en
dc.identifier.volume	63	en
dc.identifier.issue	3	en
dc.identifier.spage	271	en
dc.identifier.epage	281	en