ロジカルフローテスト法におけるグラフの類似度係数の特性解析

Abstract

The traditional paper test is able to measure mainly individual student's the understanding level of individual bits of knowledge. However, it is difficult to measure the internal connectedness among bits of knowledge. The authors had been presented a new testing method, called a Logical Flow Testing (LFT) for formative evaluation. The teacher may draw a graph, called a Logical Flow Graph (LFG) according to the contents to be taught, and then teach the subject based on the LFG. After lecturing, the teacher may give the LFT with elements which are equal to those of the teacher's LFG. The teacher compares individual students' LFGs with the teacher's LFG, and evaluates the structural understanding levels of individual students. This paper discusses similarity index based on qualitative degree of sequencing. As a result of linear translation ψ of the similarity index, the authors show that the index ψ is an expansion of traditional rank order correlation coefficients, such as the γ coefficient. Lastly, this paper shows that similarity index is effective for LFGs with partially ordered data structure from both theoretical and practical view points.