項目特性図を用いた誤答分析における仮説に基づいた誤答選択肢の併合と仮説モデル比較のための情報量規準算出方法

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  • Combining Trace Lines of Distractors on the basis of a Hypothesis and a Method to Verify It in an Error Analysis using an Item Characteristic Chart

抄録

An item characteristic chart (ICC) is a tool to investigate the functioning of multiple-choice items. Drawing trace lines (TLs) for distractors, in addition to a correct option, visualizes the propensity of incorrect responses and facilitates error analysis. However, TLs for distractors tend to have similar shapes and overlap with each other. This tendency often reduces the visibility of uniquely-shaped, thus informative, TLs. One approach to this problem is to combine similar TLs on the basis of hypothesis constructed from the error analysis to reduce the number of lines in the chart. Although this approach seems straightforward, no widely accepted criterion to evaluate the similarity of TLs is available in the literature. In this paper, we proposed a method to calculate AIC and BIC for the ICC, and investigated its performance. The results of the study indicate that the proposed method can verify the hypothesis derived from error analysis.

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