The student pilot stated that he was established on final approach for runway 31 (4,300 feet by 75 feet, dry asphalt) and "everything was on track." When the airplane crossed the threshold, he reduced engine power and began the landing flare. After touchdown, the student pilot applied the brakes, which resulted in a skid and he was unable to maintain control. The airplane subsequently departed the runway pavement and came to rest in a ditch. The left main landing gear collapsed. The student pilot was performing his first landing on his initial solo flight at the time of the accident. He noted that the skies were clear and the winds were calm. The pilot reported that he had accumulated 13 hours total flight time, with 9 hours in the same make and model airplane. A post accident inspection did not reveal any anomalies associated with a pre impact failure or malfunction.