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CONSTRUCTION OF OPTIMAL BLOCKING SCHEMES FOR ROBUST PARAMETER DESIGNS

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【Author】 Jianfeng YANG;Runchu ZHANG;Minqian LIU;Department of Statistics, School of Mathematical Sciences and LPMC,Nankai University;

【机构】 Department of Statistics, School of Mathematical Sciences and LPMC,Nankai University；

【摘要】 Robust parameter design (RPD) is an important issue in experimental designs.If all experimental runs cannot be performed under homogeneous conditions,blocking the units is efective.In this paper,we obtain the correspondence relation between fractional factorial RPDs and the blocking schemes for full factorial RPDs.In addition,we provide a construction of optimal blocking schemes that make all main efects and control-by-noise two-factor interactions estimable.更多还原

【Abstract】 Robust parameter design(RPD) is an important issue in experimental designs.If all experimental runs cannot be performed under homogeneous conditions, blocking the units is efective. In this paper, we obtain the correspondence relation between fractional factorial RPDs and the blocking schemes for full factorial RPDs. In addition, we provide a construction of optimal blocking schemes that make all main efects and control-by-noise two-factor interactions estimable.更多还原

【关键词】 Alias； blocking； factorial design； factorial efect； robust parameter design；
【Key words】 Alias； blocking； factorial design； factorial efect； robust parameter design；

【基金】 supported by the National Natural Science Foundation of China(11271205,11271355,11101024 and 11171165);the “131” Talents Program of Tianjin;the Fundamental Research Funds for the Central Universities(65030011 and 65011361)

【文献出处】 Acta Mathematica Scientia ,数学物理学报(英文版) , 编辑部邮箱 ,2013年05期

【分类号】O231
【被引频次】4
【下载频次】21

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