混料试验的拟分量变换设计
发布时间：2018-09-17 14:55
【摘要】：在混料试验中有两类重要的设计,分别是最优设计与均匀设计.为了构造一类能兼顾最优性与均匀性的混料设计,本文在Scheffe型设计的基础上提出了混料拟分量变换设计.首先定义了填充格子点集并讨论了它的相关性质,然后以填充格子点集作为NT-net用于度量点集的均匀程度,证明了对称区域内的中心压缩拟分量变换设计最均匀,以及D-,A-最优设计的拟分量变换设计具有最优性不变的性质.通过实例分析,验证了拟分过变换设计的有效性,并且这种设计能保证在变换区域内的最优性以及整体区域的均匀性.这种方法所建立的模型与真实模型更接近,更稳健.
[Abstract]:There are two important types of design in mixing test, one is optimal design and the other is uniform design. In order to construct a kind of mixture design which can give consideration to both optimality and uniformity, this paper presents a quasi-component transformation design of mixture based on Scheffe type design. In this paper, we first define the set of filled lattice points and discuss its related properties. Then we use the set of filled lattice points as NT-net to measure the uniformity of the set of points, and prove that the center compression quasi component transform design in symmetric region is the most uniform. And the quasi-component transformation design of D-A- optimal design has the property of optimality invariance. An example is given to verify the validity of the design, and this design can guarantee the optimality in the transform region and the uniformity of the whole region. The model established by this method is closer to the real model and more robust.
【作者单位】： 广州大学经济与统计学院;
【基金】：国家自然科学基金(11671104)资助项目
【分类号】：O212.6
本文编号：2246267
[Abstract]:There are two important types of design in mixing test, one is optimal design and the other is uniform design. In order to construct a kind of mixture design which can give consideration to both optimality and uniformity, this paper presents a quasi-component transformation design of mixture based on Scheffe type design. In this paper, we first define the set of filled lattice points and discuss its related properties. Then we use the set of filled lattice points as NT-net to measure the uniformity of the set of points, and prove that the center compression quasi component transform design in symmetric region is the most uniform. And the quasi-component transformation design of D-A- optimal design has the property of optimality invariance. An example is given to verify the validity of the design, and this design can guarantee the optimality in the transform region and the uniformity of the whole region. The model established by this method is closer to the real model and more robust.
【作者单位】： 广州大学经济与统计学院;
【基金】：国家自然科学基金(11671104)资助项目
【分类号】：O212.6
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