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Recent Developments in Nonregular Fractional Factorial Designs

Authors
  • Xu, Hongquan
  • Phoa, Frederick K. H.
  • Wong, Weng Kee
Type
Preprint
Publication Date
Dec 16, 2008
Submission Date
Dec 16, 2008
Source
arXiv
License
Yellow
External links

Abstract

Nonregular fractional factorial designs such as Plackett-Burman designs and other orthogonal arrays are widely used in various screening experiments for their run size economy and flexibility. The traditional analysis focuses on main effects only. Hamada and Wu (1992) went beyond the traditional approach and proposed an analysis strategy to demonstrate that some interactions could be entertained and estimated beyond a few significant main effects. Their groundbreaking work stimulated much of the recent developments in design criterion creation, construction and analysis of nonregular designs. This paper reviews important developments in optimality criteria and comparison, including projection properties, generalized resolution, various generalized minimum aberration criteria, optimality results, construction methods and analysis strategies for nonregular designs.

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