The pilot reported in a written statement that he was landing the airplane to the south on a 2,695-foot long runway, with winds from the south at 1-2 knots. The airplane touched down midfield at stall speed. Upon touchdown, the pilot retracted the flaps and applied moderate brake pressure, including full aft elevator to bring the airplane to a stop. With the end of the runway approaching, the pilot applied maximum brake pressure. Near the end of the runway the pilot applied left brake to turn the airplane to the left, and the airplane nosed over off the end of the runway. The pilot stated that he checked the brakes prior to flight, but felt that they did not function normally during the landing. A witness reported that when the airplane was landing, it floated in ground effect until about 100 feet beyond midfield. The landing gear contacted the runway, and the airplane continued to decelerate until disappearing over the end of the runway. According to the FAA inspector, skid marks led from the runway to the location where the airplane came to rest. The FAA inspector examined the braking system following the accident and found no mechanical anomalies. At the time of this report, the pilot had not submitted NTSB Form 6120.1, the Pilot/Operator Aircraft Accident/Incident Report.