Hints and tips:
  • You may need to look up some unfamiliar terms in the title or description to get more of a sense of what is involved.
  • If the project has "No" in the "Current Availability:" field, it is already taken or not being offered this academic year but may be available again in future years.
  • The supervisor name links to a contact details webpage so, if you are interested, you can arrange to discuss this project or even propose a related topic of your own.
Level: BSc, MSci, MSc
Title: The analysis of designed experiments with multivariate data
Supervisor:

Dr Steve Coad
Research Area: Probability and Applications [Including Statistics]
Description:

This project involves a detailed study of multivariate analysis of variance (MANOVA), the main statistical technique used to analyse data from a designed experiment in which data consist of observations on more then one variable. In its simplest form, MANOVA can be used to compare several mean vectors, given random samples from multivariate normal distributions each with the same covariance matrix. This is known as one-way MANOVA. The technique extends naturally to more complicated experimental designs, such as randomised block and factorial designs. Other possible topics include repeated measures designs, profile analysis, simultaneous confidence intervals and methods for assessing multivariate normality.
Further Reading:
  • C. Chatfield and A. Collins, Introduction to multivariate analysis. Chapman & Hall, London, 1980.
  • R. Johnson and D. Wichern, Applied multivariate statistical analysis. Fourth edition. Pearson Prentice Hall, New Jersey, 1997.
Key Modules:

MTH5121 Probability Models

MTH6134 Statistical Modelling II
Other Information:
Current Availability: Yes