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.
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.
作者
李凤
刘欣
LI Feng;LIU Xin(College of Science,Donghua University,Shanghai,201620,China)
出处
《应用概率统计》
CSCD
北大核心
2022年第4期521-530,共10页
Chinese Journal of Applied Probability and Statistics
基金
国家自然科学基金项目(批准号:11871143、11971318)
中央高校基本科研业务费专项资金项目资助.
关键词
A-最优设计
等价性定理
分层线性模型
正相关
A-optimal design
equivalence theorem
hierarchical linear model
intraclass correlation
