有限离散设计区域上失拟检验的最优设计

Lack-of-fit-efficiently optimal design on discrete region with finite points

考虑具有有限个试验点的离散设计区域上对线性模型失拟检验的最优设计,利用平均最小偏差在最大最小化意义下建立设计准则函数,并给出构造局部最优精确设计的算法,实例结果显示所得到最优设计在设计域上具有一定程度的均匀性.

In this paper we consider the optimal design of lack of fit test for a linear model defined on a discrete region of finite points. We propose a optimality criterion in terms of the average minimal bias. An algorithm for constructing the local exact optimal design is proposed. An example shows that the optimal design obtained by the algorithm is of a certain uniformity on the design region.