For order-of-addition experiments, the response is affected by the addition order of the experimental materials. Consequently, the main interest focuses on creating a predictive model and an optimal design for optimizing the response. Van Nostrand proposed the pairwise-order (PWO) model for detecting PWO effects. Under the PWO model, the full PWO design is optimal under various criteria but is often unaffordable because of the large run size. In this paper, we consider the D-, A- and M.S.-optimal fractional PWO designs. We first present some results on information matrices. Then, a flexible and efficient algorithm is given for generating these optimal PWO designs. Numerical simulation shows that the generated design has an appealing efficiency in comparison with the full PWO design, though with only a small fraction of runs. Several comparisons with existing designs illustrate that the generated designs achieve better efficiencies, and the best PWO designs and some selected 100% efficient PWO designs generated by the new algorithm are reported.
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Nankai Univ, Sch Stat & Data Sci, LPMC & KLMDASR, Tianjin, Peoples R ChinaNankai Univ, Sch Stat & Data Sci, LPMC & KLMDASR, Tianjin, Peoples R China
Yang, Liuqing
Zhou, Yongdao
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Nankai Univ, Sch Stat & Data Sci, LPMC & KLMDASR, Tianjin, Peoples R ChinaNankai Univ, Sch Stat & Data Sci, LPMC & KLMDASR, Tianjin, Peoples R China
Zhou, Yongdao
Fu, Haoda
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机构:
Global Stat Sci, Eli Lilly & Co, Indianapolis, IN USANankai Univ, Sch Stat & Data Sci, LPMC & KLMDASR, Tianjin, Peoples R China
Fu, Haoda
Liu, Min-Qian
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Nankai Univ, Sch Stat & Data Sci, LPMC & KLMDASR, Tianjin, Peoples R ChinaNankai Univ, Sch Stat & Data Sci, LPMC & KLMDASR, Tianjin, Peoples R China
Liu, Min-Qian
Zheng, Wei
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机构:
Univ Tennessee, Haslam Coll Business, Knoxville, TN USA
Univ Tennessee, Haslam Coll Business, Knoxville, TN 37996 USANankai Univ, Sch Stat & Data Sci, LPMC & KLMDASR, Tianjin, Peoples R China
机构:
Nankai Univ, Sch Stat & Data Sci, LPMC & KLMDASR, Tianjin, Peoples R ChinaNankai Univ, Sch Stat & Data Sci, LPMC & KLMDASR, Tianjin, Peoples R China
Yang, Jian-Feng
Sun, Fasheng
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Northeast Normal Univ, KLAS, Changchun, Jilin, Peoples R China
Northeast Normal Univ, Sch Math & Stat, Changchun, Jilin, Peoples R ChinaNankai Univ, Sch Stat & Data Sci, LPMC & KLMDASR, Tianjin, Peoples R China
Sun, Fasheng
Xu, Hongquan
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Univ Calif Los Angeles, Dept Stat, Los Angeles, CA USANankai Univ, Sch Stat & Data Sci, LPMC & KLMDASR, Tianjin, Peoples R China
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Guangxi Normal Univ, Coll Math & Stat, Guilin, Peoples R ChinaGuangxi Normal Univ, Coll Math & Stat, Guilin, Peoples R China
Mo, Guangni
Wang, Yuyao
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Guangxi Normal Univ, Coll Math & Stat, Guilin, Peoples R ChinaGuangxi Normal Univ, Coll Math & Stat, Guilin, Peoples R China
Wang, Yuyao
Wei, Shuhao
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Guangxi Normal Univ, Coll Math & Stat, Guilin, Peoples R ChinaGuangxi Normal Univ, Coll Math & Stat, Guilin, Peoples R China
Wei, Shuhao
Li, Jin
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Guangxi Normal Univ, Coll Math & Stat, Guilin, Peoples R ChinaGuangxi Normal Univ, Coll Math & Stat, Guilin, Peoples R China
Li, Jin
Huang, Hengzhen
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机构:
Guangxi Normal Univ, Coll Math & Stat, Guilin, Peoples R China
Guangxi Normal Univ, Coll Math & Stat, Guilin 541004, Peoples R ChinaGuangxi Normal Univ, Coll Math & Stat, Guilin, Peoples R China
Huang, Hengzhen
Zhang, Xueru
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Purdue Univ, Dept Stat, W Lafayette, IN USAGuangxi Normal Univ, Coll Math & Stat, Guilin, Peoples R China