WASHINGTON — A survey of colleges and universities finds a lack of coordination between many campuses and local law enforcement in handling sexual assaults, and that many schools have gone years without investigating such cases.

About 40 percent of colleges and universities reported not having conducted a sexual assault investigation in the past five years, including 6 percent of the nation’s largest public institutions. More than 20 percent of large, private schools conducted fewer investigations than the number of incidents reported to the Education Department.