Some new three-level second-order response surface designs

Article type: Research Article

Authors: Verma, Archana | Jha, Mithilesh Kumar^*

Affiliations: Department of Statistics, P.G.D.A.V. College, University of Delhi, Nehru Nagar, New Delhi, India

Correspondence: [*] Corresponding author: Mithilesh Kumar Jha, Department of Statistics, P.G.D.A.V. College, University of Delhi, Nehru Nagar, New Delhi-110 065, India. Tel.: +91 9811109397; E-mail:[email protected]

Abstract: In this paper, we use conference matrices and Plackett-Burman designs to construct some new three-level second-order response surface designs. The D-optimality values of the proposed designs are computed. These designs can fit the second-order response surface model with high efficiencies but with far fewer runs. Further, these designs are blocked orthogonally.

Keywords: Conference matrices, Plackett-Burman designs, response surface designs, D-optimality values, relative efficiencies, Orthogonal blocking

DOI: 10.3233/MAS-160383

Journal: Model Assisted Statistics and Applications, vol. 12, no. 1, pp. 55-61, 2017