The main purposes of the study were to investigate the effects of 1) degree of difficulty, special requirement, and bonus points on start values, and 2)dismount stability and execution error of skill and posture on deduction scores in Men's Rings competition I. The secondary purpose was to examine the competitive effectiveness of the judged scores in terms of degree of difficulty, execution error of skill and posture on deduction scores, stability, and creativity of Team Chinese Taipei. The subjects were 87 athletes from 24 nations in Men's Rings Competition I competed in the 2003 World University Games, which was held in Taegu, Korea. Step-wide regression analyses revealed the results that follow: 1) the bonus scores weighted .83, whereas degree of difficulty and special requirement weighted .18 and .15 respectively in these three independent variables. Bonus points and degree of difficulty weighted .88 and .23 respectively in two independent variables equation. Bonus points weighted .95 of start scores in one independent variables equation. 2) execution error of skill and posture on deduction scores and dismount stability weighted .52 and .24 of deduction scores respectively in two independent variables equation. execution error of skill and posture on deduction scores weighted .69 of deduction scores in one independent variables equation. 3)in order to elevate the competitive effectiveness, Team Chinese Taipei should improve the followings. Creativity of the single and serial movements in rings event need to be developed in order to put up to the bonus points; the execution error of skill and posture on deduction scores, stability, an difficulty need to be emphasized through out the competition; the dismount difficulty need to be elevated to the D level.