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

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

doi:10.57805/revstat.v23i2.513

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

Authors

Ashutosh Dalal Indian Agricultural Statistics Research Institute https://orcid.org/0009-0008-6770-8800
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

DOI:

https://doi.org/10.57805/revstat.v23i2.513

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.

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REVSTAT2025v23n2_5

Published

2025-05-20

Issue

Vol. 23 No. 2 (2025): REVSTAT-Statistical Journal

Section

Article

License

This work is licensed under a Creative Commons Attribution 4.0 International License.

How to Cite

Dalal, A. ., Jaggi, S., Varghese, E., Bhowmik, A., Varghese, C., & Datta, A. (2025). Rotatable Response Surface Designs for S1^n1 x S2^n2 Incorporating Neighbour Effects. REVSTAT-Statistical Journal, 23(2), 235-251. https://doi.org/10.57805/revstat.v23i2.513