On the E(s²)-optimality of two-level supersaturated designs constructed using Wu's method of partially aliased interactions on certain two-level orthogonal arrays

2025/12/16 by Emmanouil Androulakis, K. Chatterjee, Androulakis, Emmanouil +3
Computer Science · Decision Sciences · Mathematics · #Advanced Multi-Objective Optimization Algorithms #FOS: Computer and information sciences #Mathematical Approximation and Integration #Methodology (stat.ME) #Optimal Experimental Design Methods #Primary 62K15 #Secondary 05B20

paper · pdf · doi:10.48550/arxiv.2512.14378

openalex publication_date 2025/12/16 · openalex created_date 2025/12/18 · openalex updated_date 2026/07/28

Abstract

Wu [10] proposed a method for constructing two-level supersaturated designs by using a Hadamard design with n runs and n-1 columns as a staring design and by supplementing it with two-column interactions, as long as they are partially aliased. Bulutoglu and Cheng [2] proved that this method results in E(s²)-optimal supersaturated designs when certain interaction columns are selected. In this paper, we extend these results and prove E(s²)-optimality for supersaturated designs that are constructed using Wu's method when the starting design is any orthogonal array with n runs and n-1, n-2 or n-3 columns, as long as its main effects and two-column interactions are partially aliased with two-column interactions.

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