Optimal design for the proportional odds model
Optimal design for the proportional odds model
复制标题
比例优势模型的优化设计
DOI：
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发表时间：
2003
期刊：
影响因子：
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通讯作者：
L. Haines
中科院分区：
文献类型：
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作者：
Inna Perevozskaya;W. Rosenberger;L. Haines
作者为序数数据的比例优势模型构建了局部最优设计。在研究标准 D 最优设计的同时，他们还研究了同时估计多个分位数的最优标准，即 DA 最优和综合标准。同时估计多个分位数的实验设计在医学毒性和有效剂量研究中都很重要。与二元响应问题中的 c 最优性一样，作者发现在探索需要额外设计点的极端分位数时存在明显的相变。作者还研究了标准的相对效率。
The authors construct locally optimal designs for the proportional odds model for ordinal data. While they investigate the standard D‐optimal design, they also investigate optimality criteria for the simultaneous estimation of multiple quantiles, namely DA ‐optimality and the omnibus criterion. The design of experiments for the simultaneous estimation of multiple quantiles is important in both toxic and effective dose studies in medicine. As with c‐optimality in the binary response problem, the authors find that there are distinct phase changes when exploring extreme quantiles that require additional design points. The authors also investigate relative efficiencies of the criteria.