Orthogonal parallel-flats designs for sn1 1 × sn2 2mixed factorial experiments
Journal
Journal of Statistical Planning and Inference
Journal Volume
69
Journal Issue
1
Pages
175-191
Date Issued
1998
Author(s)
Iyer, H.K.
Abstract
Orthogonal factorial and fractional factorial designs are very popular in many experimental studies, particularly in industrial screening experiments. When an experimenter is able to specify the set of nonnegligible factorial effects, it is sometimes possible to obtain an orthogonal design belonging to the class of parallel-flats designs, that has a smaller run size than a suitable design from the class of classical fractional factorial designs of resolution III, IV or V, which are single-flat designs typically available from textbooks and published tables. Li (1991, Ph.D. Thesis, Colorado state university) and Srivastava and Li (1996, J. Statist. Plann. Inference 53, 261-283) provided a set of necessary and sufficient conditions for a parallel-flats design to be orthogonal for estimating a user-specified set of factorial effects for sn factorial experiments. In this paper, we extend the results to sn11 × sn22 factorial experiments, where the numbers of levels for the factors are primes. The results are illustrated with some examples. © 1998 Elsevier Science B.V. All rights reserved.
Type
journal article