On the construction of mixed-level rotatable response surface designs when experimental unit experiences overlap effects. Issue 5 (4th May 2023)

• Record Type: Journal Article
• Authors: Verma, Ankita; Jaggi, Seema; Varghese, Eldho; Varghese, Cini; Bhowmik, Arpan; Datta, Anindita; M, Hemavathi
• Is Part Of: Communications in statistics. Volume 52:Issue 5(2023)
• Page Start: 1753
• Page End: 1768
• Publication Date: 2023-05-04
• Subjects: Mixed-level response surface design -- Overlap effect -- Rotatable design; Mathematical statistics -- Periodicals; Mathematical statistics -- Data processing -- Periodicals; Digital computer simulation -- Periodicals; 519.5
• DOI: 10.1080/03610918.2021.1890123
• Languages: English
• ISSNs: 0361-0918

Abstract

Abstract: This paper describes the response surface model for mixed-level factors of the form 2 n ×3 where experimental units/plots experience the overlap effects from immediate left and right neighboring units. Conditions have been derived for the orthogonal estimation of the parameters of the model. A method of constructing mixed-level response surface designs of the form 2 n ×3 has been proposed. The designs developed satisfy the derived conditions of rotatability. Further, the method has been extended to the case of mixed-level rotatable designs of the form 2 n ×3 n . An algorithm for the estimation of overlap effects has also been discussed, along with an illustration.