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Design of experiments in regression models with correlated observations


Project Description

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.

Funding Notes

UK Research Council eligibility conditions apply.

Full awards (fees plus maintenance stipend) are open to UK Nationals and EU students who can satisfy UK residency requirements. To be eligible for the full award, EU Nationals must have been in the UK for at least 3 years prior to the start of the course for which they are seeking funding, including for the purposes of full-time education.

References

Applicants should submit an application for postgraduate study via the Cardiff University Online Application Service.
http://www.cardiff.ac.uk/study/postgraduate/applying/how-to-apply/online-application-service/mathematics-research
Applicants should select Doctor of Philosophy (Mathematics) with an entry date of October 2018

In the "Research proposal and Funding" section of your application, please specify the project title and supervisors of this project and copy the project description in the text box provided.

Please select “No, I am not self-funding my research” when asked whether you are self-funding your research.

Please add “EPSRC Doctoral Training Partnership PhD in Mathematics" when asked "Please provide the name of the funding you are applying for".

Shortlisted candidates will be invited to attend an interview after the closing date

How good is research at Cardiff University in Mathematical Sciences?

FTE Category A staff submitted: 24.05

Research output data provided by the Research Excellence Framework (REF)

Click here to see the results for all UK universities

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