Effects confounded with blocks in factorial designs: A projective geometric approach with two blocks

Evangelaras, H; Koukouvinos, C

dc.contributor.author	Evangelaras, H	en
dc.contributor.author	Koukouvinos, C	en
dc.date.accessioned	2014-03-01T01:18:55Z
dc.date.available	2014-03-01T01:18:55Z
dc.date.issued	2003	en
dc.identifier.issn	0167-7152	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/15262
dc.subject	Blocking	en
dc.subject	Confounding	en
dc.subject	Factorial designs	en
dc.subject	Hadamard matrices	en
dc.subject	Projection properties	en
dc.subject	Screening designs	en
dc.subject.classification	Statistics & Probability	en
dc.subject.other	ORTHOGONAL ARRAYS	en
dc.subject.other	HADAMARD-MATRICES	en
dc.subject.other	PLACKETT	en
dc.subject.other	BURMAN	en
dc.title	Effects confounded with blocks in factorial designs: A projective geometric approach with two blocks	en
heal.type	journalArticle	en
heal.identifier.primary	10.1016/S0167-7152(03)00145-7	en
heal.identifier.secondary	http://dx.doi.org/10.1016/S0167-7152(03)00145-7	en
heal.language	English	en
heal.publicationDate	2003	en
heal.abstract	Screening designs are useful for situations where a large number of factors (q) is examined but only few (k) of these are expected to be important. Plackett and Burman, 1946 designs and Hadamard matrices have traditionally been studied for this purpose. (Box, G.E.P., Tyssedal, J., 1996. Projective properties of certain orthogonal arrays. Biometrika 83, 950-955, Cheng, C.-S., 1995. Some projection properties of orthogonal arrays. Ann. Statist. 23, 1223-1233, Plackett, R.L., Burman, J.P., 1946. The design of optimum multifactorial experiments. Biometrika 33, 305-325). After the identification of the active factors, the design is projected into lower dimensions in order to entertain and estimate significant effects. The geometric approach of the problem suggests that additional runs need to be added in order to form a full or a fractional factorial design of suitable resolution for this purpose. Since additional runs are often performed in different experimental environments, it is not clear if blocking affects the analysis results. © 2003 Elsevier B.V. All rights reserved.	en
heal.publisher	ELSEVIER SCIENCE BV	en
heal.journalName	Statistics and Probability Letters	en
dc.identifier.doi	10.1016/S0167-7152(03)00145-7	en
dc.identifier.isi	ISI:000184300500013	en
dc.identifier.volume	64	en
dc.identifier.issue	1	en
dc.identifier.spage	105	en
dc.identifier.epage	111	en