Construction of Search Designs From Orthogonal Arrays

Abstract

Search designs form an important class of experimental designs that allow the identifying of the true model, consisting of a set of factorial effects, among many. Most of the work in this field has been made in the cases where there are at most one or two two-factor interaction effects considered nonnegligible. This article focuses on model identification through the use of search linear models containing, apart from the general mean and the main effects, up to five nonnegligible two-factor interaction effects. The new search designs are based exclusively on orthogonal arrays.

Keywords:

• Primary 62K15
• Secondary 05B20

Keywords:

• Orthogonal arrays
• Search designs
• Probability of correct searching

Acknowledgments

The authors thank two anonymous referees for their valuable comments and suggestions that led to a significant improvement of this article.

Notes

Dedicated with great respect to Jagdish N. Srivastava.