Construction of 2fi-optimal row-column designs

2023/08/01 by Yingnan Zhang, Zhang, Yingnan, Jiangmin Pan +3
Decision Sciences · Engineering · #62K05 #62K10 #FOS: Mathematics #Optimal Experimental Design Methods #Statistics Theory (math.ST) #graph theory and CDMA systems

paper · pdf · doi:10.48550/arxiv.2308.00546

openalex publication_date 2023/08/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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 sⁿ 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.

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