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Abstract
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.
Additional information
Notes on contributors
Abigael C. Nachtsheim
Ms. Nachtsheim is a doctoral student in the School of Mathematical and Statistical Sciences at Arizona State University. Her email address is [email protected].
Weijie Shen
Dr. Shen is currently a quantitative analyst at Google, Inc. His email address is [email protected].
Dennis K. J. Lin
Dr. Lin is a Distinguished Professor in the Department of Statistics at Pennsylvania State University. He is a Fellow of ASQ. His email address is [email protected].