Recent Developments in Nonregular Fractional Factorial Designs

2008/12/16 by Hongquan Xu, Xu, Hongquan, Frederick Kin Hing Phoa +3
Computer Science · Decision Sciences · Engineering · #Advanced Multi-Objective Optimization Algorithms #Aluminum Alloy Microstructure Properties #FOS: Computer and information sciences #FOS: Mathematics #Methodology (stat.ME) #Optimal Experimental Design Methods #Statistics Theory (math.ST)

paper · pdf · doi:10.48550/arxiv.0812.3000

openalex publication_date 2008/12/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Citations

• Uniform Design: Theory and Application
• THE DESIGN OF OPTIMUM MULTIFACTORIAL EXPERIMENTS
• A generalized discrepancy and quadrature error bound
• Least angle regression

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