This research is focused on developing a computerized system for analyzing the questionnaire and test items, and finding the relationship between items. This system improves Takeya’s index of ordering coefficient in 1987 which is scored polytomously, and the formulae of grade scoring and symmetrical score is separated, and cooperates with correct ratio analytic approach, utilized hierarchical digraph of graph theory to describe order of all the items. A self-designed computer on-line examination of questionnaire and test items is designed in this research. The purpose is to record students’ real answers, cooperates with two formulae and correct ratio analytic approaches finished by MATLAB to draw related graph. Students who joined the tests are grade 2 in vocational school to finish questionnaire items and grade 1 in elementary school to finish test items. We use rationality to judge the relationship of generalized index of order coefficient and improved generalized index of order coefficient, in test; we cooperate with the knowledge structure of experts to find the difference between students’ structure and experts’ structure. After comparing with rationality and the structure of experts, we find improved generalized index of ordering coefficient is better than generalized index of ordering coefficient . We suggest the courses of other field can also use the method of this research to find the relationship of questions. When cooperating with directed graph, teachers can change phase、abstract organization in their brains to specific related graph. They can easily understand the organization and the order of the course, and they can prepare teaching and formative evaluation in accordance with related graph.
