Computer Experiments With Both Qualitative and Quantitative Variables

Computer Experiments With Both Qualitative and Quantitative Variables
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具有定性和定量变量的计算机实验

DOI:
10.1080/00401706.2015.1094416
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发表时间:
2016-10
期刊:
影响因子:
2.5
通讯作者:
Yang Jian-Feng
Yang Jian-Feng
中科院分区:
工程技术3区
文献类型:
--
作者:
Huang Hengzhen;Lin Dennis K. J.;Liu Min-Qian;Yang Jian-Feng

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计算机实验在科学技术的许多领域都受到了极大的关注。大多数文献假设所有的输入变量都是定量的。然而,研究人员经常遇到涉及定性和定量变量(BQQV)的计算机实验。本文提出了一种新的计算机实验设计与分析界面BQQV。新设计是一种分片拉丁超立方体设计,点集在设计区域内,且每片都具有良好的均匀性。对于BQQV的计算机实验,这种设计有助于测量定性变量中不同水平组合的反应之间的相似性。一个自适应的分析策略,旨在为建议的设计开发。所提出的策略允许我们从有用的辅助响应中自动提取信息,以提高目标响应的预测精度。所提出的设计和分析策略之间的接口被证明是有效的,通过模拟和现实生活中的例子,从食品工程文献。本文的补充材料可在网上查阅。
Computer experiments have received a great deal of attention in many fields of science and technology. Most literature assumes that all the input variables are quantitative. However, researchers often encounter computer experiments involving both qualitative and quantitative variables (BQQV). In this article, a new interface on design and analysis for computer experiments with BQQV is proposed. The new designs are one kind of sliced Latin hypercube designs with points clustered in the design region and possess good uniformity for each slice. For computer experiments with BQQV, such designs help to measure the similarities among responses of different level-combinations in the qualitative variables. An adaptive analysis strategy intended for the proposed designs is developed. The proposed strategy allows us to automatically extract information from useful auxiliary responses to increase the precision of prediction for the target response. The interface between the proposed design and the analysis strategy is demonstrated to be effective via simulation and a real-life example from the food engineering literature. Supplementary materials for this article are available online.
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