Definitive screening designs (DSDs) constitute a well-known class of screening designs for three-level factors. DSDs are comprised of orthogonal main effects plans for which main effects estimates are statistically independent of estimates of two-factor interactions. Jones and Nachtsheim (2013) proposed two methods for augmenting DSDs with two-level categorical factors, namely the DSD-augment and the ORTH-augment approaches. However, these two versions produce distinct features that are not sufficiently flexible to accommodate versatile performance preferences in practice. In this paper, we provide a comprehensive overview of the augmented designs with DSD structures and show how to construct compromise designs that share the desirable traits of both DSD-augment and ORTH-augment designs. In addition to the DSD-augment and ORTH-augment designs, we suggest routine consideration of nondominated compromise designs as described in the paper. Additionally, we provide some theoretical properties of randomly assigned augmented DSDs.
All Science Journal Classification (ASJC) codes
- Safety, Risk, Reliability and Quality
- Strategy and Management
- Management Science and Operations Research
- Industrial and Manufacturing Engineering