Academy of Mathematics and Systems Science, CAS Colloquia & Seminars | Speaker: | Ying Hung, Rutgers University | Inviter: | | Title: | Optimal Crossover Designs for Quantitative Variables | Time & Venue: | 2019.7.8 9:00-10:00 N218 | Abstract: | Crossover designs for quantitative variables are common in practice but the theoretical developments are overlooked in the design literature. Motivated by an experimental design problem in cell biology, new classes of optimal crossover designs are introduced under different model assumptions on carryover effects with quantitative variables. Theoretical properties of optimal designs are derived which are different from their counterparts with qualitative variables. To efficiently construct optimal designs, systematic procedures are proposed based on a collection of swap operations. The proposed optimal designs are demonstrated by simulation studies and an application in cell adhesion experiments. | | | |