Universities play a central role within society and should provide high quality services to students. Therefore, a careful evaluation of university services is necessary. This evaluation is complex because involves many partial aspects and can be assessed through a composite indicator. In the paper we propose a simple method for reducing the number of partial aspects underlying a composite indicator. A practical application to data from a sample survey conducted on last year students of the University of Padova is discussed. This survey considered the quality of many services, lecture rooms, library services, computer classrooms, reading rooms in libraries, study rooms, structure of exams, student socialization, reached skills and so forth....