Optimal allocation to treatment groups under variance heterogeneity
Optimal allocation to treatment groups under variance heterogeneity
复制标题
方差异质性下治疗组的最优分配
DOI：
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发表时间：
2015
期刊：
影响因子：
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通讯作者：
H. Nyquist
中科院分区：
文献类型：
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作者：
E. Fackle;H. Nyquist
考虑了在处理组间存在方差异质性时，将实验单元分配给处理组的问题。A（A）-和D-A-最优分配的处理手段的线性组合的估计。对于A（A）-最优设计，给出了设计权的显式表达式.引入极大极小策略作为处理未知方差的一种方法。对极大极小分配的效果进行了评价。
The problem of allocating experimental units to treatment groups when variance heterogeneity over treatment groups is present is considered. A(A)- and D-A-optimal allocations are derived for estimation of linear combinations of treatment means. Explicit expressions for the design weights are provided for the A(A)-optimal design. The minimax strategy is introduced as an approach to handle unknown variances. Efficiencies of minimax allocations are evaluated.