混料试验的Cox均匀设计

The Cox uniform design of mixture experiment

文章在Scheffé型设计的基础上提出混料Cox均匀设计,将混料单纯形内部D-最优的设计点进行Cox变换,通过计算MSE偏差,确定这类设计中最均匀的一个设计,并且证明了Cox均匀设计能在变换后的区域内仍保持D-最优性,这种方法所建立的模型与真实模型更接近,更稳健.

This paper proposes a new design, the Cox uniform design of mixture experiment, by using the Cox method to transform the D-optimal design points in the simplex to uniform design points and determine the most uniform design by calculating the MSE deviation. We have proved that the Cox uniform design can maintain the D- optimality in the transformed region. The model established by this method is closer to the real model and more robust.