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 - 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.
KW - Balanced incomplete block design
KW - Fractional OofA design
KW - Optimality
KW - Pairwise order model
KW - Systematic combinatorial construction
UR - https://www.scopus.com/pages/publications/85079837831
U2 - 10.1016/j.spl.2020.108728
DO - 10.1016/j.spl.2020.108728
M3 - Article
AN - SCOPUS:85079837831
SN - 0167-7152
VL - 161
JO - Statistics and Probability Letters
JF - Statistics and Probability Letters
M1 - 108728
ER -