TY - JOUR
T1 - Construction of optimal fractional Order-of-Addition designs via block designs
AU - Chen, Jianbin
AU - Mukerjee, Rahul
AU - Lin, Dennis K.J.
N1 - Funding Information:
We thank the referees for their very constructive suggestions. The work of Jianbin Chen was supported by the National Natural Science Foundation of China (Grant No. 11771220 ). The work of Rahul Mukerjee was supported by the J.C. Bose National Fellowship of Government of India and a grant from Indian Institute of Management Calcutta . The work of Dennis Lin was supported by the National Science Foundation, USA via Grant DMS-18102925 .
Publisher Copyright:
© 2020 Elsevier B.V.
PY - 2020/6
Y1 - 2020/6
N2 - Order of addition (OofA) experiments have found wide applications. Each order (run) of an OofA experiment is a permutation of m(≥2) components. It is typically infeasible to compare all the m! possible runs, especially when m is large. This calls for experimentation with a subset or fraction of these m! runs. However, only a few systematic results are available on the construction of such fractions ensuring optimality. We employ block designs to propose a systematic combinatorial construction method for optimal fractional OofA designs, and extend the method to construct highly efficient OofA designs, both in much smaller run sizes than the currently available optimal fractions.
AB - Order of addition (OofA) experiments have found wide applications. Each order (run) of an OofA experiment is a permutation of m(≥2) components. It is typically infeasible to compare all the m! possible runs, especially when m is large. This calls for experimentation with a subset or fraction of these m! runs. However, only a few systematic results are available on the construction of such fractions ensuring optimality. We employ block designs to propose a systematic combinatorial construction method for optimal fractional OofA designs, and extend the method to construct highly efficient OofA designs, both in much smaller run sizes than the currently available optimal fractions.
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U2 - 10.1016/j.spl.2020.108728
DO - 10.1016/j.spl.2020.108728
M3 - Article
AN - SCOPUS:85079837831
VL - 161
JO - Statistics and Probability Letters
JF - Statistics and Probability Letters
SN - 0167-7152
M1 - 108728
ER -