Abstract
Recent developments in psychometric modeling underscore the need to incorporate learning behavior into intelligent tutoring systems (ITS) assessments. To determine mastery of target skills in ITSs, a detection procedure that captures the change in the response behavior is necessary. Leveraging items characterized by their properties, a two-stage detection rule can promote learning while mitigating the risk of false detections. A detection scheme is designed in two stages, employing cumulative sum (CUSUM) statistics to delineate progress within each stage. The procedure partitions each training process into learning and mastery detection stages. Item pools are stratified based on item properties, enabling tailored allocation of items to enhance learning and mastery detection. CUSUM thresholds, which incorporate learning rates, ensure a predetermined false detection rate. The two-stage procedure offers a nuanced approach that accelerates learning with highly pedagogical items in the first stage and efficiently detects mastery in the second stage. Simulation results demonstrate the efficiency and effectiveness of the two-stage procedure. Compared to an ordinary single-stage approach, the procedure consistently yields smaller average change points, indicating quicker mastery detection.
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