标题： 两水平因子实验的二元响应最优设计 显示英文标题

标题： Optimal Designs for Two-Level Factorial Experiments with Binary Response

摘要： 我们考虑在每个定性因素有两个水平的因子实验中获得局部D最优设计的问题。 我们的重点主要放在2^2实验上。 在本文中，我们推导了一些特殊情况的解析结果，并说明了如何处理一般情况。 检验了均匀设计的性能，我们证明该设计在一般情况下具有很高的效率。 对于一般的2^k情况，我们证明均匀设计具有最大最小性质。 显示英文摘要

摘要： We consider the problem of obtaining locally D-optimal designs for factorial experiments with qualitative factors at two levels each with binary response. Our focus is primarily on the 2^2 experiment. In this paper, we derive analytic results for some special cases and indicate how to handle the general case. The performance of the uniform design in examined and we show that this design is highly efficient in general. For the general 2^k case we show that the uniform design has a maximin property.