A0436
Title: Symmetrical analysis for the order-of-addition experiments
Authors: Xueping Chen - Jiangsu University of Technoology (China) [presenting]
Abstract: The order-of-addition experiment has received significant attention in recent literature. When non-negligible block effects are present, the design and inference pose a novel and demanding challenge. A new inference approach is presented that is model-free but puissant in the interpretability of the experiment. This new approach uses variance-based decomposition to capture the symmetry of the output on the order permutations, then forms an intelligent data collection strategy to search the optimal settings of orders. It provides multiple options for additional experiments, facilitating adaptability to different block capacities. Theoretical supports are provided to illustrate the effectiveness of the proposed method, and numerical experiments demonstrate its effectiveness.
