On optimal blocked definitive screening designs: Theoretical insights and computational simplifications
研究了线性加二次效应模型下最优分块确定性筛选设计的理论性质，证明了部分现有设计的优性，并大幅简化了寻找最优正交分块设计的计算复杂度。
Abstract Definitive screening designs (DSDs) are a novel class of three‐level designs that yield efficient estimates of main effects without aliasing with second‐order effects. While orthogonal and pairwise blocking schemes have been proposed for DSDs, their theoretical properties remain partially unexplored, resulting in computational challenges in searching for optimal blocked DSDs. In this paper, we obtain several theoretical insights into optimal blocked DSDs under the linear‐plus‐quadratic effects model. Our results not only demonstrate the optimality of some existing blocked DSDs but also substantially alleviate the complexities involved in identifying optimal orthogonal blocked DSDs.