Construction of optimal designs in random coefficient regression models
Construction of optimal designs in random coefficient regression models
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DOI：
10.1080/02331888208801650
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发表时间：
1982
期刊：
影响因子：
1.9
通讯作者：
J. Gladitz;J. Pilz
中科院分区：
文献类型：
--
作者：
J. Gladitz;J. Pilz
我们考虑随机系数回归模型中关于二次损失函数的最优实验设计问题。通过应用惠特尔的一般等价定理，我们获得了最优设计的结构。给出了一种算法，该算法允许在某些假设下构建最优设计的信息矩阵。此外，我们给出了关于最优性标准的最优设计的等价性条件，类似于通常的 A-D- 和 _E/- 最优性。
We consider the problem of optimal experimental design in random coefficient regression models with respect to a quadratic loss function. By application of WHITTLE'S general equivalence theorem we obtain the structure of optimal designs. An alogrithm is given which allows, under certain assumptions, the construction of the information matrix of an optimal design. Moreover, we give conditions on the equivalence of optimal designs with respect to optimality criteria which are analogous to usual A-D- and _E/-optimality.