Rasch Model GSP表與灰色結構模型之分析探究

Abstract

The paper aims to apply Rasch Model, Grey Relational Analysis (GRA) and S-P chart to establish the Rasch Model GSP (Grey Student-Problem Chart). With the combination of Grey structural modeling, the GSM (Grey Structural Model Figure) could be established. Based on the findings, the GSP is able to be set up with discrimination from students and items, and be used as discrimination α. The average of item difficulty and the average of examinees' scores could be used as difficulty β. The lowest score and the lowest rate of correct test items could be recognized as guessing γ. Through the GSM figure, it is clear to understand the structural components of the clustering state, and define the relevance of each other, which means that GSM figure is a learning map concept is a direction and positioning in the process. This study proposes the research portfolio of GSP chart and GSM figure. GSP is not limit on the number of people and questions, and comparison of similar classes. Moreover, the GSM figure clearly distinguishes the clustering and structure of data between the orientations, and providing teachers a reference to the topic, it's a research method can be replaced by S-P chart.