The results of a study with eleven Psychology programs in Colombia are presented, in order to assess the relationships between quality accreditation and certain indexes such as the number of professors and students, the rates of student desertion, the results in the State Examination and the like. It is concluded that a relationship seems to be present between accreditation and aspects such as the level of teachers’ education, the size of the faculty, student desertion and the strength of research. Theoretical elements are proposed in order to continue with the discussion of Educational Quality and new directions for research on the subject are suggested