COMPARING ROBUST PROPERTIES OF A-OPTIMAL, D-OPTIMAL, E-OPTIMAL AND G-OPTIMAL DESIGNS
COMPARING ROBUST PROPERTIES OF A-OPTIMAL, D-OPTIMAL, E-OPTIMAL AND G-OPTIMAL DESIGNS
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DOI：
10.1016/0167-9473(94)90161-9
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发表时间：
1994-11-01
影响因子：
1.8
通讯作者：
WONG, WK
中科院分区：
文献类型：
--
作者：
WONG, WK
当假设模型的阶数为j且1小于等于j小于等于k小于等于8时，我们研究了Kappa阶多项式回归模型使用最优设计的A，D，E和G效率。 这些最优设计相对于其他最优性准则的鲁棒性也进行了研究。 这些效率之间的关系进行了说明和实际影响的结果进行了讨论。 特别是，我们的数值结果表明，E-最优设计具有几个属性不共享的A，D和G-最优设计。
We examine the A, D, E and G-efficiencies of using the optimal design for the polynomial regression model of degree kappa when the hypothesized model is of degree j and 1 less-than-or-equal-to j less-than-or-equal-to k less-than-or-equal-to 8. The robustness properties of each of these optimal designs with respect to the other optimality criteria are also investigated. Relationships among these efficiencies are noted and practical implications of the results are discussed. In particular, our numerical results show E-optimal designs possess several properties not shared by the A, D and G-optimal designs.