ASYMMETRIC TRIANGULATION SCALING: ASYMMETRIC MULTIDIMENSIONAL SCALING FOR VISUALIZING INTER-ITEM DEPENDENCY STRUCTURE

Abstract

In test data analysis, it is very important to clarify the underlying inter-item dependency structure. Once the structure is identified, we can reorder the units in the relevant textbook and gain a deeper understanding of the errors made by students. The asymmetric triangulation scaling technique proposed in this paper is a kind of asymmetric multidimensional scaling technique used for visualizing the inter-item dependency structure in a 3D hemisphere by analyzing the conditional correct response rate matrix.