Construction of 2fi-optimal row-column designs

08/01/2023

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by   Yingnan Zhang, et al.

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Row-column factorial designs that provide unconfounded estimation of all main effects and the maximum number of two-factor interactions (2fi's) are called 2fi-optimal. This issue has been paid great attention recently for its wide application in industrial or physical experiments. The constructions of 2fi-optimal two-level and three-level full factorial and fractional factorial row-column designs have been proposed. However, the results for high prime level have not been achieved yet. In this paper, we develop these constructions by giving a theoretical construction of s^n full factorial 2fi-optimal row-column designs for any odd prime level s and any parameter combination, and theoretical constructions of s^n-1 fractional factorial 2fi-optimal row-column designs for any prime level s and any parameter combination.