Optimal two-level choice designs for any number of choice sets
针对两水平选择实验,推导出信息矩阵的简单形式,并给出任意数量选择集下主效应模型的最优配对选择设计,发现选择集大小为2时设计更优。
For two-level choice experiments, we obtain a simple form of the information matrix of a choice design for estimating the main effects, and provide |$D$|- and MS-optimal paired choice designs with distinct choice sets under the main effects model for any number of choice sets. It is shown that the optimal designs under the main effects model are also optimal under the broader main effects model. We find that optimal choice designs with a choice set size two often outperform their counterparts with larger choice set sizes.