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Journal of Statistical Theory and Practice

, Volume 5, Issue 1, pp 109–117 | Cite as

A Note on Small Composite Designs for Sequential Experimentation

  • Nam-Ky NguyenEmail author
  • Dennis K. J. Lin
Article

Abstract

The recommended approach to experiments using the response surface methodology is sequential, i.e., experiments should be conducted iteratively. At the first stage, a first-order design, usually an orthogonal two-level design (with a few center points) is used to find out whether the current region is appropriate and to allow the estimation of main effects (and possibly some interactions). The design at the first stage is then augmented with more runs in the second stage. The combined design allows the estimation of the remaining interaction and quadratic effects. Some well-known classes of designs which allow such a sequential experimentation are the central composite designs, the small composite designs and the augmented-pair designs. This paper reviews these designs and introduces a new algorithm which is able to augment any first order design with additional design points to form a good design for a second-order model.

Key-words

Augmented-pair design Box-Behnken design Composite design Orthogonal quadratic effect property Response surface design Two-level design 

AMS Subject Classification

62K20 

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Copyright information

© Grace Scientific Publishing 2011

Authors and Affiliations

  1. 1.International School & Centre for High Performance ComputingVietnam National UniversityHanoiVietnam
  2. 2.Department of StatisticsPennsylvania State University, University ParkUSA
  3. 3.School of StatisticsRenmin University of ChinaBeijingChina

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