Synonyms for Analysis (same or very similar meaning)
WordNet sense 1 (the abstract separation of a whole into its constituent parts in order to study the parts and their relations):
analytic thinkingWordNet sense 2 (a set of techniques for exploring underlying motives and a method of treating various mental disorders; based on the theories of Sigmund Freud):
psychoanalysis, depth psychologyFrom the ODE community, based on WordNetadd/edit