Session III (May 15, 1:00pm-2:30pm): Factorial/Multi-level Design, organized by Hongquan Xu

• Title: Small Mixed-Level Screening Designs 

• Speaker: Dennis K.J. Lin, Purdue University 

• Abstract: Screening is an important step of scientific research.  It aims to identify a few active factors, among many potential factors.  While two-level screening design is well known, the mixed-level screening designs remain primitive.  In this talk, two classes of mixed-level screening designs will be discussed. It is shown that the proposed mixed-level designs have most desirable design properties (such as D- and A-efficiencies) and can be straightforwardly constructed without any computing power.  Furthermore, when orthogonality is required, a new class of mixed-level orthogonal screening designs with small run sizes will be introduced.  These designs are mainly based upon Conference Matrices.  It is noticed that different conference matrices may result in different design properties for the constructed designs.  Some remarks on this direction will be discussed at the end.