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A CASE STUDY IN THE APPLICATION OF SUPERSATURATED DESIGNS TO COMPUTER EXPERIMENTS

刘民千; 方开泰   

  1. 南开大学数学学院, 天津 300071
  • 收稿日期:2004-02-04 修回日期:2005-08-29 出版日期:2006-10-20 发布日期:2006-10-20
  • 通讯作者: 刘民千
  • 基金资助:

    Research supported by the National Natural Science Foundation of China (10301015), the Science and Technology Innovation Fund of Nankai University,
    the Visiting Scholar Program at Chern Institute of Mathematics
    and a Hong Kong Research Grants Council Grant
    (RGC/HKBU 200804)

A CASE STUDY IN THE APPLICATION OF SUPERSATURATED DESIGNS TO COMPUTER EXPERIMENTS

Liu Minqian; Fang Kaitai   

  1. Department of Statistics, School of Mathematical Sciences and LPMC, Nankai University, Tianjin 300071, China
  • Received:2004-02-04 Revised:2005-08-29 Online:2006-10-20 Published:2006-10-20
  • Contact: Liu Minqian

摘要:

Supersaturated design is essentially a fractional factorial design in which the number of potential effects is greater than the number of runs. In this article, the supersaturated design is applied to a computer experiment through an example of steady current circuit model problem. A uniform mixed-level supersaturated design and the centered quadratic regression model are used.
This example shows that supersaturated design and quadratic regression modeling method are very effective for screening effects and building the predictor. They are not only useful in computer experiments but also in industrial and other scientific experiments.

关键词: Supersaturated design, computer experiment, uniform design, quadratic regression model

Abstract:

Supersaturated design is essentially a fractional factorial design in which the number of potential effects is greater than the number of runs. In this article, the supersaturated design is applied to a computer experiment through an example of steady current circuit model problem. A uniform mixed-level supersaturated design and the centered quadratic regression model are used.
This example shows that supersaturated design and quadratic regression modeling method are very effective for screening effects and building the predictor. They are not only useful in computer experiments but also in industrial and other scientific experiments.

Key words: Supersaturated design, computer experiment, uniform design, quadratic regression model

中图分类号: 

  • 62K15