Rotatable Response Surface Designs for S1^n1 x S2^n2 Incorporating Neighbour Effects: Accepted - June 2023

Ashutosh  Dalal; Seema Jaggi; Eldho Varghese; Arpan Bhowmik; Cini Varghese; Anindita Datta

Forthcoming

Rotatable Response Surface Designs for S1^n1 x S2^n2 Incorporating Neighbour Effects

Accepted - June 2023

Authors

Ashutosh Dalal Indian Agricultural Statistics Research Institute, New Delhi
Seema Jaggi Indian Council of Agricultural Research
Eldho Varghese ICAR - Central Marine Fisheries Research Institute https://orcid.org/0000-0001-9293-2275
Arpan Bhowmik Indian Agricultural Research Institute https://orcid.org/0000-0001-9830-8748
Cini Varghese Indian Agricultural Statistics Research Institute
Anindita Datta Indian Agricultural Statistics Research Institute

Keywords:

Mixed-level response surface design, neighbour effect, rotatable design

Abstract

This paper describes the response surface methodology for mixed-level factors of the form S₁ⁿ¹ x S₂ⁿ² when experimental units are affected by the adjacent neighbouring units. Conditions have been derived for the orthogonal estimation of the parameters of the model. A method of construction has been developed and the developed designs satisfy the rotatability conditions. Some particular cases of S₁ⁿ¹ x S₂ⁿ² are described. An R package named rsdNE developed for the generation of these designs has also been discussed.

Downloads

FP_REVSTAT-513-2023_jun1

Published

2023-06-07

How to Cite

Dalal, A. ., Jaggi, S., Varghese, E., Bhowmik, A., Varghese, C., & Datta, A. (2023). Rotatable Response Surface Designs for S1^n1 x S2^n2 Incorporating Neighbour Effects: Accepted - June 2023. REVSTAT-Statistical Journal. Retrieved from https://revstat.ine.pt/index.php/REVSTAT/article/view/513