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題名 Optimal two-level fractional factorial designs with pure dispersion factors
作者 丁兆平
Ting, Chao-Ping
貢獻者 政大統計系
關鍵詞 A-optimality;D-optimality;location effect;separate dispersion effect
日期 2009-12
上傳時間 12-十二月-2013 18:05:40 (UTC+8)
摘要 The problem of finding optimal designs when pure dispersion factors are present in the class of regular single replicated two-level fractional factorial design of resolution III and higher is studied. When a single dispersion factor is present, D-optimal and A-optimal designs depend on the number of length three words involving the dispersion factor in the defining relation for resolution III designs. When two dispersion factors with equal dispersion main effect are present, D-optimal designs depend not only on the number of length three and length four words involving the dispersion factors in the defining relation but also on the values of the dispersion mean and main effects and the structures of the words. Tables are given to show how D-optimality ordering of designs changes when the values of the dispersion mean and main effects and the word structure change.
關聯 中國統計學報, 47(4), 236-252
資料類型 article
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) 2009-12en_US
dc.date.accessioned 12-十二月-2013 18:05:40 (UTC+8)-
dc.date.available 12-十二月-2013 18:05:40 (UTC+8)-
dc.date.issued (上傳時間) 12-十二月-2013 18:05:40 (UTC+8)-
dc.identifier.uri (URI) http://nccur.lib.nccu.edu.tw/handle/140.119/62438-
dc.description.abstract (摘要) The problem of finding optimal designs when pure dispersion factors are present in the class of regular single replicated two-level fractional factorial design of resolution III and higher is studied. When a single dispersion factor is present, D-optimal and A-optimal designs depend on the number of length three words involving the dispersion factor in the defining relation for resolution III designs. When two dispersion factors with equal dispersion main effect are present, D-optimal designs depend not only on the number of length three and length four words involving the dispersion factors in the defining relation but also on the values of the dispersion mean and main effects and the structures of the words. Tables are given to show how D-optimality ordering of designs changes when the values of the dispersion mean and main effects and the word structure change.en_US
dc.format.extent 129037 bytes-
dc.format.mimetype application/pdf-
dc.language.iso en_US-
dc.relation (關聯) 中國統計學報, 47(4), 236-252en_US
dc.subject (關鍵詞) A-optimality;D-optimality;location effect;separate dispersion effecten_US
dc.title (題名) Optimal two-level fractional factorial designs with pure dispersion factorsen_US
dc.type (資料類型) articleen