Carry out a questionnaire or an interview survey, for example regarding:
To what extent is it considered acceptable to use Wikipedia as source in student essays?
To what extent does systematic bias exist on Wikipedia?
What causes subjective enforcement of the Wikipedia policies?
What measures are most efficient in improving the reliability of Wikipedia?
Arrange a blind test measurement of the quality of a certain Wikipedia language version in comparison to a commercial encyclopedia
Carry out a case study, evaluating the success of some wiki site.
Study Wikipedia statistics
Write a review paper on a few research articles or some master theses related to wikis and Wikipedia, compare their conclusions and argue for your own opinion on the matter