PhD Scholarship in Designs for Response Surface Methodology with Multiple Responses at RMIT University in Australia 2022
The project associated with this scholarship is given below:
Title: Designs for Response Surface Methodology with Multiple Responses
Project description: Efficient designs for response surface methodology [1] have a broad application area from food science [2] to chromatography [3] and robotics [4]. A lot of these practical applications require the modeling of processes with multiple inputs and outputs. The traditional design matrices are no longer the best option as their application in such cases would be either infeasible or extremely costly.
The aim of this project is to investigate such situations, to develop a new statistical methodology, and to generate efficient design matrices for experiments qualified to collect useful data in a feasible and inexpensive way. This new approach will consider prior knowledge on the relationships between the input controllable factors and the output response variables. The mathematical and statistical properties on the resulting new designs matrices are to be investigated and their optimality under the given prior information is to be proved.
The project also aims to design and develop the needed algorithms and implement them using the R language. All the mathematical and statistical tools that will be established in this project, as well as any new algorithms and any derived software, will be available to the research community.
[1] Design and Analysis of Experiments DC Montgomery
[2] Applications of Response Surface Methodology in the Food Industry Processes
[3] A Bayesian Approach for Multiple Response Surface Optimization in the Presence of Noise Variables