组内正相关的分层线性模型的A-最优设计
A-Optimal Design for Hierarchical Linear Model with Intraclass Positive Correlation
-
摘要: 本文讨论分层线性模型的最优试验设计问题.在假定组内观测误差之间正相关条件下,分别基于群体参数的估计和个体参数的预测定义了两种A-最优准则,推导了相应的等价性定理, 并通过两个例子展示了文中的结果.Abstract: This paper discusses the optimal design problem for the hierarchical linear model with intraclass positive correlation. A-optimal designs are considered for the estimation of the fixed effects as well as the prediction of random effects. We provide two equivalence theorems to determine the A-optimality of a given design. Two illustrative examples of the A-optimal designs are presented.