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題名 D-optimal two-level fractional factorial designs of resolution III with two dispersion factors
作者 丁兆平
Ting, Chao-Ping
貢獻者 政大統計系
關鍵詞 Defining relation;Dispersion effect;Generator;Location effect
日期 2010
上傳時間 12-Dec-2013 18:04:29 (UTC+8)
摘要 The problem of finding D-optimal designs, with two dispersion factors, for the estimation of all location main effects is investigated in the class of regular unreplicated two-level fractional factorial designs of resolution III. Designs having length three words involving both of the dispersion factors in the defining relation are shown to be inferior in terms of D-optimality. Tables of factors that are named as the two dispersion factors so that the resulting design is either D-optimal or has the largest determinant of the information matrix are provided. Rank-order of designs is studied when the number of length three words involving either one of the dispersion factors and the number of length four words involving both of the dispersion factors are fixed. Rank-order of designs when the numbers of aforementioned words are less than or equal to ten is given.
關聯 Communications in Statistics - Theory and Methods, 39(14), 2515-2532
資料類型 article
DOI http://dx.doi.org/10.1080/03610920903046824
dc.contributor 政大統計系en_US
dc.creator (作者) 丁兆平zh_TW
dc.creator (作者) Ting, Chao-Pingen_US
dc.date (日期) 2010en_US
dc.date.accessioned 12-Dec-2013 18:04:29 (UTC+8)-
dc.date.available 12-Dec-2013 18:04:29 (UTC+8)-
dc.date.issued (上傳時間) 12-Dec-2013 18:04:29 (UTC+8)-
dc.identifier.uri (URI) http://nccur.lib.nccu.edu.tw/handle/140.119/62437-
dc.description.abstract (摘要) The problem of finding D-optimal designs, with two dispersion factors, for the estimation of all location main effects is investigated in the class of regular unreplicated two-level fractional factorial designs of resolution III. Designs having length three words involving both of the dispersion factors in the defining relation are shown to be inferior in terms of D-optimality. Tables of factors that are named as the two dispersion factors so that the resulting design is either D-optimal or has the largest determinant of the information matrix are provided. Rank-order of designs is studied when the number of length three words involving either one of the dispersion factors and the number of length four words involving both of the dispersion factors are fixed. Rank-order of designs when the numbers of aforementioned words are less than or equal to ten is given.en_US
dc.format.extent 218588 bytes-
dc.format.mimetype application/pdf-
dc.language.iso en_US-
dc.relation (關聯) Communications in Statistics - Theory and Methods, 39(14), 2515-2532en_US
dc.subject (關鍵詞) Defining relation;Dispersion effect;Generator;Location effecten_US
dc.title (題名) D-optimal two-level fractional factorial designs of resolution III with two dispersion factorsen_US
dc.type (資料類型) articleen
dc.identifier.doi (DOI) 10.1080/03610920903046824en_US
dc.doi.uri (DOI) http://dx.doi.org/10.1080/03610920903046824en_US