数学物理学报(英文版) ›› 2013, Vol. 33 ›› Issue (5): 1431-1438.doi: 10.1016/S0252-9602(13)60094-6

• 论文 • 上一篇    下一篇

CONSTRUCTION OF OPTIMAL BLOCKING SCHEMES FOR ROBUST PARAMETER DESIGNS

杨建峰*|张润楚|刘民千   

  1. Department of Statistics, School of Mathematical Sciences and LPMC, Nankai University, Tianjin 300071, China
  • 收稿日期:2011-07-17 修回日期:2012-07-31 出版日期:2013-09-20 发布日期:2013-09-20
  • 通讯作者: 杨建峰,jfyang@nankai.edu.cn E-mail:jfyang@nankai.edu.cn; zhrch@nankai.edu.cn; mqliu@nankai.edu.cn
  • 基金资助:

    This work was supported by the National Natural Science Foundation of China (11271205, 11271355, 11101024 and 11171165), the “131” Talents Program of Tianjin, and the Fundamental Research Funds for the Central Universities (65030011 and 65011361).

CONSTRUCTION OF OPTIMAL BLOCKING SCHEMES FOR ROBUST PARAMETER DESIGNS

 YANG Jian-Feng*, ZHANG Run-Chu, LIU Min-Qian   

  1. Department of Statistics, School of Mathematical Sciences and LPMC, Nankai University, Tianjin 300071, China
  • Received:2011-07-17 Revised:2012-07-31 Online:2013-09-20 Published:2013-09-20
  • Contact: YANG Jian-Feng,jfyang@nankai.edu.cn E-mail:jfyang@nankai.edu.cn; zhrch@nankai.edu.cn; mqliu@nankai.edu.cn
  • Supported by:

    This work was supported by the National Natural Science Foundation of China (11271205, 11271355, 11101024 and 11171165), the “131” Talents Program of Tianjin, and the Fundamental Research Funds for the Central Universities (65030011 and 65011361).

摘要:

Robust parameter design (RPD) is an important issue in experimental designs. If all experimental runs cannot be performed under homogeneous conditions, blocking the units is effective. In this paper, we obtain the correspondence relation between fractional factorial RPDs and the blocking schemes for full factorial RPDs. In addition, we provide a
construction of optimal blocking schemes that make all main effects and control-by-noise two-factor interactions estimable.

关键词: Alias, blocking, factorial design, factorial effect, robust parameter design

Abstract:

Robust parameter design (RPD) is an important issue in experimental designs. If all experimental runs cannot be performed under homogeneous conditions, blocking the units is effective. In this paper, we obtain the correspondence relation between fractional factorial RPDs and the blocking schemes for full factorial RPDs. In addition, we provide a
construction of optimal blocking schemes that make all main effects and control-by-noise two-factor interactions estimable.

Key words: Alias, blocking, factorial design, factorial effect, robust parameter design

中图分类号: 

  • 62K25