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題名 Optimal Two-Level Fractional Factorial Designs for Location Main Effects with Dispersion Factors
作者 張富凱;丁兆平
Chang, Fu-Ka;Ting, Chao-Ping
貢獻者 政大統計系
關鍵詞 A-optimality;D-optimality;Dispersion effect;Location effects
日期 2011-06
上傳時間 12-Dec-2013 18:03:59 (UTC+8)
摘要 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.
關聯 Communications in Statistics - Theory and Methods, 40(11), 2035-2043
資料類型 article
DOI http://dx.doi.org/10.1080/03610921003725804
dc.contributor 政大統計系en_US
dc.creator (作者) 張富凱;丁兆平zh_TW
dc.creator (作者) Chang, Fu-Ka;Ting, Chao-Pingen_US
dc.date (日期) 2011-06en_US
dc.date.accessioned 12-Dec-2013 18:03:59 (UTC+8)-
dc.date.available 12-Dec-2013 18:03:59 (UTC+8)-
dc.date.issued (上傳時間) 12-Dec-2013 18:03:59 (UTC+8)-
dc.identifier.uri (URI) http://nccur.lib.nccu.edu.tw/handle/140.119/62436-
dc.description.abstract (摘要) 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.en_US
dc.format.extent 148877 bytes-
dc.format.mimetype application/pdf-
dc.language.iso en_US-
dc.relation (關聯) Communications in Statistics - Theory and Methods, 40(11), 2035-2043en_US
dc.subject (關鍵詞) A-optimality;D-optimality;Dispersion effect;Location effectsen_US
dc.title (題名) Optimal Two-Level Fractional Factorial Designs for Location Main Effects with Dispersion Factorsen_US
dc.type (資料類型) articleen
dc.identifier.doi (DOI) 10.1080/03610921003725804en_US
dc.doi.uri (DOI) http://dx.doi.org/10.1080/03610921003725804en_US