Dr. Roberson grew up in Searcy, Arkansas. He received his B.A. from Hendrix College in Conway and an M.S. from the University of Arkansas. He earned his Doctor of Medicine degree from the University of Arkansas School of Medicine and completed his internship at University Hospital.

He completed an Ophthalmology Basic Science Course at New York University Medical School in 1970 during his residency. His ophthalmology residency was served at Baylor College of Medicine and was completed in 1972. He served in the USAF Medical Corps from 1972 to 1975. In 1975, he completed a fellowship in Corneal and External Eye Disease at Ohio State University College of Medicine.

Dr. Roberson is certified by the American Board of Ophthalmology. He is a fellow of the American Academy of Ophthalmology, a member of the Arkansas Ophthalmological Society, and a member on the Board of the Arkansas Eye Bank and Laboratory.

He and his wife, Sara, have two daughters and one son.