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From midterm to final: Using Rasch analysis to measure growth and fairness in university calculus assessments
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From midterm to final: Using Rasch analysis to measure growth and fairness in university calculus assessments
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Journal Article
From midterm to final: Using Rasch analysis to measure growth and fairness in university calculus assessments
2026
Overview
This study investigates the reliability, validity, and fairness of university-level calculus assessments using Rasch analysis, focusing on the progression and alignment of key concepts across midterm and final exams. A cohort of 369 students from diverse academic disciplines was assessed using standardized exams designed to align with learning outcomes. The midterm and final exams, comprising conceptual and computational items, were analyzed separately and combined to evaluate their fit to the Rasch model. Summary statistics confirmed the reliability of item and person measures, while alignment analysis highlighted conceptual continuity across assessments. The results demonstrated the assessments’ efficacy in consistently measuring student ability across different subgroups and performance levels. Wright maps and item-level statistics provided a comprehensive view of student understanding, identifying areas requiring targeted pedagogical intervention. The study revealed significant growth in student performance from midterm to final exams, with Rasch analysis enabling the establishment of a consistent scale for tracking progress over time. Findings underscored the importance of aligning assessments with learning outcomes and ensuring fairness across diverse student groups. This research highlights the potential of Rasch analysis as a tool for improving the design, implementation, and evaluation of assessments in higher education, particularly in complex subjects like calculus. By integrating these insights, educators can refine assessment practices to better support student learning and achievement.
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