Academic Journals Database
Disseminating quality controlled scientific knowledge

Recent developments in nonregular fractional factorial designs

Author(s): Hongquan Xu | Frederick K.H. Phoa | Weng Kee Wong

Journal: Statistics Surveys
ISSN 1935-7516

Volume: 3;
Start page: 18;
Date: 2009;
Original page

Keywords: Factor screening | Generalized minimum aberration | Generalized resolution | Minimum moment aberration | Orthogonal array | Plackett-Burman design | Projectivity

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.
RPA Switzerland

RPA Switzerland

Robotic process automation


Tango Jona
Tangokurs Rapperswil-Jona