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

Abstract

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

Keywords

• efficiency criterion
• fractional factorial design
• isomorphic design
• isomorphic model
• orthogonal array
• robust parameter design