At present, selection into Masters and Doctorate level Clinical Psychology programs in many countries largely relies upon undergraduate grades (i.e., Grade Point Average; GPA) and the honors year thesis. The use of objective, non-cognitive measures of ability are virtually non-existent. One measure seemingly relevant to the field of clinical psychology is the Mayer-Salovey-Caruso Emotional Intelligence Test (MSCEIT), an ability based measure of emotional intelligence (EI).
Omoregbee, I., Morrison, B. W., & Morrison, N. M. V. (2016). A case for using ability-based emotional intelligence measures in the selection of trainee psychologists. Business Perspectives and Research, 4(1), 1-14. https://doi.org/10.1177/2278533715605425