1. Division of Orthodontics and Dentofacial Orthopedics; School of Dentistry; Tri-Service General Hospital and National Defense Medical Center; Taipei City Taiwan
2. Institute of Epidemiology and Preventive Medicine; College of Public Health; National Taiwan University; Taipei City Taiwan
3. Chang Gung Graduate Institute of Dental and Craniofacial Science; Taoyuan City Taiwan
4. Institute of Dental Science; National Defense Medical Center; Taipei City Taiwan
5. Department of Periodontology; School of Dentistry; National Defense Medical Center; Taipei City Taiwan