Smallish University ... everything else is right

Perhaps it is other characteristics of the schools, rather than being small LACs, that are more strongly associated with greater drinking or other recreational drug use.

http://www.collegedrinkingprevention.gov/media/finalpanel1.pdf (page 23-25) describes characteristics of schools associated with more or less drinking. Page vii and 21-22 list some characteristics of students associated with more or less drinking.