A0407
Title: Optimal designs for order-of-addition two-level factorial experiments
Authors: Fasheng Sun - Northeast Normal University (China) [presenting]
Qiang Zhao - Northeast Normal University (China)
Qian Xiao - University of Georgia (United States)
Abhyuday Mandal - University of Georgia (United States)
Abstract: A new type of experiment called the order-of-addition factorial experiment, has recently received considerable attention in medical science and bioengineering. These experiments aim to simultaneously optimize the order of addition and dose levels of drug components. In the experimental design literature, dual-orthogonal arrays (DOAs) were recently introduced for such experiments. However, constructing flexible DOAs is a challenging task. A novel theory-guided search method is proposed that efficiently identifies DOAs of any size (if present). An algebraic construction is also provided that instantly leads to certain DOAs. Moreover, to address the potential issue of DOA ignoring interaction effects, a new type of optimal design is constructed under the expanded compound model, named the strong DOA (SDOA). Two algebraic constructions of the SDOA are provided. Theoretical results are established on the optimality of both DOAs and SDOAs. Simulation studies are performed to demonstrate the superiority of the proposed designs.
