Design of experiments in regression models with correlated observations
The design of experiments is an area of mathematical sciences which has direct economic impact.
Optimal designs allow saving time, materials and other resources. New design methodologies are required due to growing complexity of real world problems, for example, technological changes in quality and quantity of measured data. The theory of the design of experiments involves statistical, optimization and simulation principles, various mathematical techniques and extensive computing. The theory of statistical experimental design is an important link between the experimental and the modelling worlds. Designing experiments aims at extracting the maximal information from an experiment.
Up to now the theory of experimental design mostly deals with uncorrelated observations. In most modern applications, however, the experimental observations are correlated. The whole philosophy of experimental design in this case becomes more complicated. The project is interdisciplinary in nature and will include elements of theoretical probability and applied statistics.
We are interested in pursuing this project and welcome applications if you are self-funded or have funding from other sources, including government sponsorships or your employer.
Please contact the supervisor when you want to pursue this project, citing the project title in your email, or find out more about our PhD programme in Mathematics.