Optimal designs for binary response experiments: Fieller, D, and A criteria
研究了二元响应实验中基于Fieller定理的置信区间作为设计准则(F最优性),在对称分布和温和条件下,证明了F最优、D最优和A最优设计有两个或三个支撑点,并给出了完整刻画。
For binary response experiments, we consider the use of a confidence interval based on Fieller's theorem as a design criterion (F-optimality). For symmetric distributions and under mild conditions, we show that F-optimal, D-optimal, and A-optimal designs have two or three support points. A complete characterization of these designs is given. The possibility of having 4-point symmetric designs is discussed.