If you have your own research idea the School are accepting applicants for open studentships. You do not need to have a project worked out before you apply, you just need to know what area you are most interested in, and which staff in the School you would like to work with. Read the ‘Postgraduate Students’ information on the academic profile of the supervisor(s) you are interested in working with.
For more details refer:http://psych.cf.ac.uk/degreeprogrammes/postgraduate/research/