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ISSN : 2581-5148

Title:
ASSESSING DIFFERENTIAL DIFFICULTY IN PARALLEL ASSESSMENT SLOTS: A MISSPECIFICATION-BASED STATISTICAL APPROACH TO GRADING EQUITY

Authors:
Jose A. Martínez

Abstract:
Scheduling assessment activities across multiple time slots is an increasingly common institutional response to student diversity, particularly the growing proportion of working students in higher education. However, when distinct question sets are used across slots to prevent information leakage, differential difficulty may emerge, inadvertently penalizing students assigned to a harder version. This paper presents a practical case study from the course Marketing Management II (second year of the Bachelor in Business Administration and Management, Technical University of Cartagena, Spain), where an online formative quiz was administered in two non-overlapping time slots with different question sets. Building on Spanos’s (2019) misspecification testing philosophy, a two-sample t-test was applied after systematically validating its underlying assumptions through runs tests, t-plots, Levene’s test for equality of variances, and the Shapiro–Wilk normality test. Results confirmed a statistically significant mean difference of 2.29 points favouring the morning group (T = 5.24, df = 124, p < .001). As a corrective measure, 1.2 points were added to the scores of the afternoon group, substantially reducing the performance gap. The case illustrates both the feasibility and the importance of applying rigorous inferential tools to detect and correct unfair grading differentials in educational assessment.

Keywords:
assessment equity; grading fairness; misspecification testing; two-sample t-test; higher education

DOI:
https://doi.org/10.37500/IJESSR.2026.9209

Date of Publication: 01-04-2026

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