Recent developments in nonregular fractional factorial designs

Hongquan Xu · Frederick Kin Hing Phoa · Weng Kee Wong

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Optimal Experimental Design Methods Advanced Combinatorial Mathematics Simulation Techniques and Applications

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 optimality criteria, construction and analysis of nonregular designs. This paper reviews important developments in nonregular designs, including projection properties, generalized resolution, generalized minimum aberration criteria, optimality results, construction methods and analysis strategies.

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References

1996Response Surface Methodology: Process and Product Optimization Using Designed Experiments 1989Design and Analysis of Computer Experiments 1979Statistics for Experimenters 1988Empirical Model Building and Response Surfaces 1946THE DESIGN OF OPTIMUM MULTIFACTORIAL EXPERIMENTS 2003The Design and Analysis of Computer Experiments 2005Design and Modeling for Computer Experiments 2001Experiments - Planning, Analysis and Parameter Design Optimization

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2012Combining two-level and three-level orthogonal arrays for factor screening and response surface exploration 2018Strong orthogonal arrays of strength two plus 2015Design of Experiments for Screening 2021Orthogonal subsampling for big data linear regression 2013Screening Strategies in the Presence of Interactions 2014Permuting regular fractional factorial designs for screening quantitative factors

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