Forthcoming

Sequential Third-order Rotatable Designs in Smaller Runs

Accepted - January 2024

Authors

  • Ankita Verma ICAR - Indian Agricultural Statistics Research Institute
  • Seema Jaggi ICAR - Agricultural Education Division
  • Eldho Varghese ICAR - Central Marine Fisheries Research Institute https://orcid.org/0000-0001-9293-2275
  • Cini Varghese ICAR - Indian Agricultural Statistics Research Institute
  • Arpan Bhowmik ICAR - Indian Agricultural Research Institute https://orcid.org/0000-0001-9830-8748
  • Anindita Datta ICAR - Indian Agricultural Statistics Research Institute
  • Hemavathi Manivannan Pandit Jawaharlal Nehru College of Agriculture and Research Institute
  • Ashutosh Dalal ICAR - Indian Agricultural Statistics Research Institute

Keywords:

lack of fit, moment matrix, response surface methodology, rotatability, sequential design, third-order model

Abstract

There may be situations in a product/process optimisation where a fitted second-order model fails to adequately represent the significance of the relationship between the input and response variables, ultimately leading to the estimation of parameters based on a higher (or third) order model. Sequential third-order response surface designs are beneficial for such situations, which allow for experimenting with a few additional runs and fitting a third-order model without discarding the first-stage experimental runs and generated responses. Sequential experimentation is useful in practice since it is more economical and requires fewer resources. For symmetric as well as mixed-level factors, methods of construction of sequential third-order design have been proposed in the paper that satisfy the necessary moment matrix requirement and ensure rotatability. Additionally, the proposed designs have smaller runs, making it more cost-effective to attain the best response. A comparison of the proposed design with existing sequential designs is also made on the basis of design size, G-efficiency and prediction capability using FDS and VDG plots.

Published

2024-01-31

How to Cite

Verma, A., Jaggi, S., Varghese, E., Varghese, C., Bhowmik, A., Datta, A., Manivannan, H., & Dalal, A. . (2024). Sequential Third-order Rotatable Designs in Smaller Runs: Accepted - January 2024. REVSTAT-Statistical Journal. Retrieved from https://revstat.ine.pt/index.php/REVSTAT/article/view/646

Issue

Section

Forthcoming Paper

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