Identify the Optimal Baseline Design from the Plackett-Burman Design

In recent years, baseline designs have garnered extensive attention due to their broad applicability across numerous fields. In order to select excellent baseline designs, Mukerjee and Tang (2012) proposed the $K$ -aberration criterion. The Plackett-Burman design represents a classic category of non-regular designs and has been relatively less studied as a baseline design. This paper, starting from the Plackett-Burman design, investigates the properties it exhibits when employed as a baseline design. We have obtained an important property: The sub-designs constructed from the column sets of the Plackett-Burman design with equivalent distance vectors possess the same $K$ -aberration sequence. This property improves the efficiency of our search for the optimal $K$ -aberration sub-designs of Plackett-Burman design.