Analyzing unreplicated 2k factorial designs by examining their projections into k-1 factors

Angelopoulos, P; Evangelaras, H; Koukouvinos, C

dc.contributor.author	Angelopoulos, P	en
dc.contributor.author	Evangelaras, H	en
dc.contributor.author	Koukouvinos, C	en
dc.date.accessioned	2014-03-01T01:32:46Z
dc.date.available	2014-03-01T01:32:46Z
dc.date.issued	2010	en
dc.identifier.issn	0748-8017	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/20220
dc.subject	Effect heredity	en
dc.subject	Effect sparsity	en
dc.subject	Projective property	en
dc.subject	Unreplicated factorial design	en
dc.subject.classification	Engineering, Multidisciplinary	en
dc.subject.classification	Engineering, Industrial	en
dc.subject.classification	Operations Research & Management Science	en
dc.subject.other	Degrees of freedom	en
dc.subject.other	Effect sparsity	en
dc.subject.other	Experimental design	en
dc.subject.other	Experimental errors	en
dc.subject.other	Factorial design	en
dc.subject.other	Simulation studies	en
dc.subject.other	Technometrics	en
dc.subject.other	Unreplicated factorial design	en
dc.subject.other	Design	en
dc.title	Analyzing unreplicated 2k factorial designs by examining their projections into k-1 factors	en
heal.type	journalArticle	en
heal.identifier.primary	10.1002/qre.1048	en
heal.identifier.secondary	http://dx.doi.org/10.1002/qre.1048	en
heal.language	English	en
heal.publicationDate	2010	en
heal.abstract	Unreplicated factorial designs are widely used as experimental designs because of the economy they offer in run size. However, they are difficult to analyze because there are no degrees of freedom left to estimate the experimental error. Many methods have been proposed for the analysis of such designs with Lenth's (Technometrics 1989; 31:469-473) and Dong's (Statist. Sinica 1993; 3:209-217) being the most popular. In this paper we take advantage of the projective property of factorial designs and we propose a simple yet effective method for analyzing unreplicated factorial designs. The results are compared through a simulation study with Lenth's and Dong's methods. Copyright (C) 2009 John Wiley & Sons, Ltd.	en
heal.publisher	JOHN WILEY & SONS LTD	en
heal.journalName	Quality and Reliability Engineering International	en
dc.identifier.doi	10.1002/qre.1048	en
dc.identifier.isi	ISI:000276658800004	en
dc.identifier.volume	26	en
dc.identifier.issue	3	en
dc.identifier.spage	222	en
dc.identifier.epage	233	en