Journal of Statistical Planning and Inference, Vol. 74 (1) (1998) pp. 169-175

_ 1998 Elsevier Science B.V. All rights reserved.

PII: S0378-3758(98)00101-3

a. Lundquist College of Business, 1208 University of Oregon, Eugene, OR 97403, USA

b. Sloan School of Management, Massachusetts Institute of Technology, Cambridge, MA 02139, USA

Received 6 March 1997; Accepted 3 March 1998

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In this paper we develop a class of two-level designs that allow orthogonal estimation of certain main effects and two-factor interactions when other main effects 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 flexibility and a reduction, in many cases, in the number of runs over both Taguchi's designs and single orthogonal arrays.

AMS classification codes 62K99

Keywords: Fractional factorial designs; Screening analysis; Orthogonal arrays; Taguchi crossed arrays

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*Corresponding author. Fax: +15413463341; e-mail: yfang@darkwing.uoregon.edu.