多响应线性混合效应模型的A最优设计  

A-optimal Designs for Multi-response Linear Mixed Models

作　　者：段冬艳 刘欣[1] DUAN Dongyan;LIU Xin(College of Science,Donghua University,Shanghai 201620,China)

机构地区：[1]东华大学理学院,上海201620

出　　处：《东华大学学报（自然科学版）》2020年第5期846-850,共5页Journal of Donghua University(Natural Science)

摘　　要：线性混合效应模型在统计领域应用广泛,但多响应线性混合效应模型的设计问题很少被关注。研究了多响应线性混合效应模型的A最优设计,以随机效应的精准预测为目标定义最优准则,推导出相应的等价性定理来刻画最优设计。以一个具体模型为例,求解了具体的A最优设计。The linear mixed-effects model is widely used in statistical fields,however the design of multi-response one is rarely discussed.This paper studied the A-optimal designs for multi-response linear mixed models.An optimal criterion was defined with the objective of accurate prediction of random effects,and the equivalence theorem was derived to describe the optimal designs.The A-optimal designs was solved with a specific model as an example.

关 键 词：A最优设计 多响应 线性混合模型 等价性定理 

分 类 号：O212.6[理学—概率论与数理统计]