Efficient maximin distance designs for experiments in mixtures

R.L.J. Coetzer; R.F Rossouw; N.J. Le Roux

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Efficient maximin distance designs for experiments in mixtures

机译：用于混合物实验的高效最大距离设计

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In this paper, different dissimilarity measures are investigated to construct maximin designs for compositional data. Specifically, the effect of different dissimilarity measures on the maximin design criterion for two case studies is presented. Design evaluation criteria are proposed to distinguish between the maximin designs generated. An optimization algorithm is also presented. Divergence is found to be the best dissimilarity measure to use in combination with the maximin design criterion for creating space-filling designs for mixture variables.

机译：在本文中，研究了不同的相似性度量来构造成分数据的maximin设计。具体来说，针对两个案例研究，提出了不同差异度量对maximin设计准则的影响。提出了设计评估标准以区分所生成的maximin设计。还提出了一种优化算法。发现散度是与maximin设计准则结合使用以创建混合变量的空间填充设计的最佳差异性度量。

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来源
《Journal of applied statistics》 |2012年第10期|1939-1951|共13页
作者
R.L.J. Coetzer; R.F Rossouw; N.J. Le Roux;
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作者单位

Sasol Technology Research and Development, Sasol, Private Bag 1, Sasolburg 1947, Republic of South Africa;

Sasol Technology Research and Development, Sasol, Private Bag 1, Sasolburg 1947, Republic of South Africa;

Department of Statistics and Actuarial Science, Stellenbosch University, Private Bag XI, Matieland 7602, South Africa;

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正文语种 eng
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关键词
compositional data; computer experiments; dissimilarity measures; kullback-leibler information; maximin designs;

机译：成分数据;计算机实验;相异措施;kullback-leibler信息;马克西姆设计;

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1. Maximin distance optimal designs for computer experiments with time-varying inputs and outputs [J] . Max D. Morris Journal of Statistical Planning and Inference . 2014,第Null期

机译：随时间变化的输入和输出的用于计算机实验的Maximin距离最佳设计
2. MAXIMIN AND MAXIMIN-EFFICIENT EVENT-RELATED FMRI DESIGNS UNDER A NONLINEAR MODEL [J] . Ming-Hung Kao, Dibyen Majumdar, Abhyuday Mandal, The Annals of applied statistics . 2013,第4期

机译：非线性模型下与事件相关的最大和最大有效FMRI设计
3. On the connection between maximin distance designs and orthogonal designs [J] . Wang Yaping, Yang Jianfeng, Xu Hongquan Biometrika . 2018,第2期

机译：在Maximin距离设计与正交设计之间的连接
4. Maximin Distance-Lattice Hypercube Design for Computer Experiment Based on Genetic Algorithm [C] . Zhang Li, NAKAYAMA Shigeru 2001 International Conferences on Info-Tech and Info-Net (ICII 2001) . 2001

机译：基于遗传算法的Maximin距离格超立方体计算机实验设计
5. Construction of Maximin Distance Designs via Level Expansion. [D] . Xiao, Qian. 2015

机译：通过级别扩展构建Maximin距离设计。
6. Statistically designed experiments to screen chemical mixtures for possible interactions. [O] . J P Groten, O Tajima, V J Feron, 1998

机译：统计设计的实验筛选可能存在的相互作用的化学混合物。
7. Maximin and maximin-efficient event-related fMRI designs under a nonlinear model [O] . Kao, Ming-Hung, Majumdar, Dibyen, Mandal, Abhyuday, 2014

机译：maximin和maximin-efficient与事件相关的fmRI设计非线性模型

Efficient maximin distance designs for experiments in mixtures

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