Title: D-optimal two-level designs for main-effects models: Some new results
Authors: Jose Nunez Ares - KU Leuven (Belgium)
Mohammed Saif Ismail Hameed - KU Leuven (Belgium)
Peter Goos - Universiteit Antwerpen (Belgium) [presenting]
Abstract: Two-level orthogonal arrays are known to be D-optimal for main-effects models in the event the number of runs is a multiple of 4. Complete catalogs of non-isomorphic orthogonal arrays have been enumerated and investigated to identify those orthogonal arrays that minimize the aliasing between main effects and two-factor interactions and the aliasing among two-factor interactions. It turns out that there exist many non-isomorphic D-optimal designs for main-effects models in the event the number of runs is not a multiple of 4 too, and that some of these designs involve substantially less aliasing between the main effects and the two-factor interactions as well as among the two-factor interactions. We will discuss how we identify non-isomorphic D-optimal designs for main-effects models and investigate the differences between these designs.