Work

Recent developments in nonregular fractional factorial designs

Year: 2009

Type: article

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.

Source: Statistics Surveys

DOI: 10.1214/08-ss040

Authors: Hongquan Xu, Frederick K.H. Phoa, Weng Kee Wong

Institution: University of California, Los Angeles

Language: English

Topic: Optimal Experimental Design Methods

Subfield: Management Science and Operations Research

Field: Decision Sciences

Domain: Social Sciences

Open Access status: hybrid

Funders: National Science Foundation, National Institutes of Health

Award: Construction and Analysis of Nonregular and Supersaturated Designs