Examination of applicants for a license to practice psychology shall be made by the board at least once a year according to methods and in such subject fields as may be deemed by the board to be the most practical and expeditious to test the applicant's qualifications. The board shall require the examination to be written or oral, or both, provided that in any written examination such applicant shall be designated by a number instead of the applicant's name so that the applicant's identity shall not be disclosed to the members of the board until the examination papers have been graded. Any unsuccessful candidate may, within 14 days of notice of failure and upon written request to the board, appeal to the board for review.