Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1144868 | Journal of the Korean Statistical Society | 2011 | 5 Pages |
Abstract
This paper considers the issue of optimality of fractional factorial experiments involving m factors each at two levels. The optimality criteria used here is the type 1 criteria, due to Cheng (1978), which include the D- and A-criteria. It is shown that if there exists an orthogonal array OA(nââ,m,2,3), â=1,2, then there exists an n-run type 1 optimal fractional factorial plan for a 2m experiment under a model that includes the mean, all main effects and all two-factor interactions with a factor in common. These plans are obtained by adding any one run to an OA(nâ1,m,2,3) for nâ¡1 (mod 8) and two specific runs to an OA(nâ2,m,2,3) for nâ¡2 (mod 8).
Related Topics
Physical Sciences and Engineering
Mathematics
Statistics and Probability
Authors
Kashinath Chatterjee, Fotini Kolyva-Machera, Stavros A. Chatzopoulos,