A0770
Title: Summary of effect aliasing structure for design selection and factor-column assignment for supersaturated designs
Authors: Frederick Kin Hing Phoa - Academia Sinica (Taiwan) [presenting]
Yi-Hua Liao - National Tsing Hua University (Taiwan)
David Woods - University of Southampton (United Kingdom)
Abstract: In the assessment and selection of supersaturated designs, the aliasing structure of interaction effects is usually ignored in traditional criteria such as $E(s^2)$-optimality. A summary of the effect aliasing structure (SEAS) is introduced to assess the aliasing structure of supersaturated designs. SEAS takes into account the interaction terms and provides more informative summaries than traditional design criteria, such as (generalized) resolution and word length patterns, for design evaluations. The new summary consists of three criteria, abbreviated as MAP: (1) the maximum dependency aliasing (M-)pattern; (2) the average square aliasing (A-)pattern; and (3) the pairwise dependency ratio (P-)pattern. The relationships are theoretically studied among the three criteria of SEAS and traditional criteria, and the use of SEAS is demonstrated for evaluating and comparing some examples of supersaturated designs, including those suggested in the literature. The SEAS are further applied to the assignment of columns of a supersaturated design when some important experimental factors are known in prior.
