Rotated Factorial Designs for Computer Experiments

Rotated Factorial Designs for Computer Experiments
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DOI:
10.29973/jcsa.200412.0007
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发表时间:
2004-12
期刊:
--
影响因子:
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通讯作者:
Scott Beattie;D. Lin
Scott Beattie;D. Lin
中科院分区:
其他
文献类型:
--
作者:
Scott Beattie;D. Lin

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计算机模型可以描述科学和工程领域中遇到的复杂现象。然而,要使用这些模型进行科学研究,它们通常需要很长的运行时间和确定性,需要专门设计的实验。本文给出了一类由析因设计的旋转发展而来的拉丁超立方设计。这些旋转析因设计易于构造,并保留了标准析因设计的许多吸引人的特性:它们具有对单变量维度的等间距投影和不相关的回归效应估计(正交性)。最后给出了该设计方法在机械工程中的应用实例。讨论了旋转混合水平析因设计的新结果。
Computer models can describe complicated phenomena encountered in science and engineering fields. To use these models for scientific investigation, however, their generally long running times and mostly deterministic nature require a specially designed experiment. This paper presents a class of Latin hypercube designs developed from the rotation of factorial designs. These rotated factorial designs are easy to construct and preserve many of the attractive properties of standard factorial designs: they have equally-spaced projections to univariate dimensions and uncorrelated regression effect estimates (orthogonality). A thorough application of the newly proposed design in mechanical engineering is presented. New results on the rotated mixed-level factorial designs are discussed.