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2009 Recent developments in nonregular fractional factorial designs
Hongquan Xu, Frederick K.H. Phoa, Weng Kee Wong
Statist. Surv. 3: 18-46 (2009). DOI: 10.1214/08-SS040


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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Hongquan Xu. Frederick K.H. Phoa. Weng Kee Wong. "Recent developments in nonregular fractional factorial designs." Statist. Surv. 3 18 - 46, 2009.


Published: 2009
First available in Project Euclid: 9 June 2009

zbMATH: 1300.62056
MathSciNet: MR2520978
Digital Object Identifier: 10.1214/08-SS040

Rights: Copyright © 2009 The author, under a Creative Commons Attribution License


Vol.3 • 2009
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