Selecting baseline designs using a minimum aberration criterion when some two-factor interactions are important

This article considers the problem of selecting two-level designs under baseline parameterisation when some two-factor interactions are important. We propose a minimum aberration criterion, which minimises bias caused by non-negligible effects. Using this class optimal can be further distinguished from one another, and we present an algorithm to find among D-optimal designs. Sixteen-run twenty-run summarised for practical use.