OPTIMAL DESIGNS FOR PARALLEL MODELS WITH CORRELATED RESPONSES
OPTIMAL DESIGNS FOR PARALLEL MODELS WITH CORRELATED RESPONSES
复制标题
DOI：
--
复制
发表时间：
2006
影响因子：
1.4
通讯作者：
Mong-Na Lo Huang;Ray‐Bing Chen;Chun-Sui Lin;W. Wong
中科院分区：
文献类型：
--
作者：
Mong-Na Lo Huang;Ray‐Bing Chen;Chun-Sui Lin;W. Wong
我们考虑一个对称紧设计区域上的具有相关对偶响应的并行线性模型，并构造了估计模型中未知参数的局部D-最优设计和估计位置偏移参数的局部最优设计。加性模型的D-最优设计在设计空间的线性变换下是不变的，但估计位置偏移的局部最优设计不具有此性质。后者的最优设计以一种有趣而敏感的方式依赖于双重响应之间的相关性。
We consider a parallel linear model with correlated dual responses on a symmetric compact design region and construct locally D-optimal designs for estimating the unknown parameters in the model, and locally optimal designs for estimating the location shift parameter. The D-optimal designs for the additive model are invariant under linear transformation of the design space but locally optimal designs for estimating the location shift do not share this property. The latter optimal designs depend on the correlation between the dual responses in an interesting and sensitive way.