Block-crossed arrays with applications to robust design

In this paper we develop a class of two-level designs that allow orthogonal estimation of certain main e ects and two-factor interactions when other main e ects and two-factor interactions are present but not of interest. The designs can be easily generated using block-crossed arrays. The application is clearly to settings in which one might apply either Taguchi’s crossed arrays or single-array designs suggested by many people as a better alternative to Taguchi’s methods. Our designs have certain properties, the most important being the exibility and a reduction, in many cases, in the number of runs over both Taguchi’s designs and single orthogonal arrays. c © 1998 Published by Elsevier Science B.V. All rights reserved. AMS classi cation: 62K99