The Chiropractic Association of Ireland -, The Chiropractic Association of Ireland (CAI) Finding the right chiropractor is vital for you and your family. The Chiropractic Association of Ireland (CAI) is the only national organisation to insist that its members are trained to the highest educational standards and only graduates of ECCE/CCE/CCEI/ACCE* accredited institutions are permitted to join the association. The CAI is the only Irish chiropractic association to be a full member of the European Chiropractors’ Union and the World Federa.