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政大機構典藏 > 商學院 > 統計學系 > 期刊論文 > Item 140.119/62436

Please use this identifier to cite or link to this item: https://nccur.lib.nccu.edu.tw/handle/140.119/62436

Title:	Optimal Two-Level Fractional Factorial Designs for Location Main Effects with Dispersion Factors
Authors:	張富凱;丁兆平 Chang, Fu-Ka;Ting, Chao-Ping
Contributors:	政大統計系
Keywords:	A-optimality;D-optimality;Dispersion effect;Location effects
Date:	2011-06
Issue Date:	2013-12-12 18:03:59 (UTC+8)
Abstract:	In two-level fractional factorial designs, homogeneous variance is commonly assumed in analysis of variance. When the variance of the response variable changes when a factor changes from one level to another, we call that factor the dispersion factor. However, the problem of finding optimal designs when dispersion factors are present is relatively unexplored. In this article, we focus on finding optimal designs for the estimation of all location main effects when there are one or two dispersion factors, in the class of regular single replicated two-level fractional factorial designs of resolution III or higher. We show that by appropriate naming of the dispersion factors, D-optimal and A-optimal designs can be identified. Table of D-optimal resolution III designs with two dispersion factors is given.
Relation:	Communications in Statistics - Theory and Methods, 40(11), 2035-2043
Data Type:	article
DOI 連結:	http://dx.doi.org/10.1080/03610921003725804
DOI:	10.1080/03610921003725804
Appears in Collections:	[統計學系] 期刊論文

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