William Li, Principal Investigator

Model-Robust Design and Non-Isomorphic Orthogonal Designs

This research project has two major objectives:

• To construct model-robust designs that include supersaturated designs and response-surface design. Model-robust designs usually consider many different possible models that can increase exponentially with the run size. Thus, the problem is extremely computationally intensive.
• To construct complete catalogs of non-isomorphic designs. Orthogonal designs are most commonly used experimental designs in practice. The choice of optimal designs depends on two important things—criterion and complete catalogs of the candidate orthogonal designs.

While the former has received a great deal of attention in the literature, the latter has not been much discussed because the required computations are usually very large. Following recent articles by Ye and Li (2001) and Sun, Li, and Ye (2001), this research group uses a newly developed efficient algorithm and a theory based on the indicator function to construct complete sets of orthogonal designs with economic run sizes.

Research Group and Collaborator

Kokouvi Agboto, Graduate Student Researcher
Christopher J. Nachtsheim, Faculty Collaborator