Blocking first order response surface designs with interaction under correlated error

Article type: Research Article

Authors: Joshy, C.G.^{a; *} | Balakrishna, N.^b

Affiliations: [a] ICAR-Central Institute of Fisheries Technology, Willington Island, Cochin, India | [b] Department of Statistics, Cochin University of Science and Technology, Cochin, India

Correspondence: [*] Corresponding author: C.G. Joshy, ICAR-Central Institute of Fisheries Technology, Matsyapuri P.O., Willington Island, Cochin 682029, India. Tel.: +91 9947711496; Fax: +91 484 2668212; E-mail: [email protected].

Abstract: This paper deals with blocking of first order response surface model with interaction under equi- and auto-correlated error structure. The conditions for orthogonal blocking, orthogonal estimation of the parameters and constancy of the variance of the predicted response have been derived for the proposed model. D-optimality criterion for orthogonally blocked first order response surface designs with interaction has also been discussed. A method of construction of design satisfying the derived conditions is given under the proposed model along with an illustration.

Keywords: Blocking in response surface model, orthogonal estimation, equi-correlated errors, auto-correlated errors

DOI: 10.3233/MAS-170393

Journal: Model Assisted Statistics and Applications, vol. 12, no. 2, pp. 179-191, 2017