A Mathematical Framework for Temporal Modeling and Counterfactual Policy Simulation of Student Dropout

📅 2026-04-10
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🤖 AI Summary
This study proposes an integrated framework combining time-series modeling with counterfactual policy simulation to predict weekly-granularity dropout risk among higher education students and evaluate intervention efficacy. Leveraging learning management system logs and administrative withdrawal records, the authors construct a person-period model using discrete-time survival analysis and penalized class-balanced logistic regression, achieving a test-set AUC of 0.8405. A counterfactual policy layer incorporating trigger mechanisms and scheduling contracts enables structured scenario comparisons. Bootstrap subgroup analyses reveal that only shock-type interventions significantly improve student survival rates (ΔS = 0.0819), whereas mechanism-aware interventions exhibit negative effects. Although gender-based survival gaps remain directionally consistent, their magnitude is minimal, highlighting substantial heterogeneity in intervention effectiveness across subpopulations.

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📝 Abstract
This study proposes a temporal modeling framework with a counterfactual policy-simulation layer for student dropout in higher education, using LMS engagement data and administrative withdrawal records. Dropout is operationalized as a time-to-event outcome at the enrollment level; weekly risk is modeled in discrete time via penalized, class-balanced logistic regression over person--period rows. Under a late-event temporal holdout, the model attains row-level AUCs of 0.8350 (train) and 0.8405 (test), with aggregate calibration acceptable but sparsely supported in the highest-risk bins. Ablation analyses indicate performance is sensitive to feature set composition, underscoring the role of temporal engagement signals. A scenario-indexed policy layer produces survival contrasts $\Delta S(T)$ under an explicit trigger/schedule contract: positive contrasts are confined to the shock branch ($T_{\rm policy}=18$: 0.0102, 0.0260, 0.0819), while the mechanism-aware branch is negative ($\Delta S_{\rm mech}(18)=-0.0078$, $\Delta S_{\rm mech}(38)=-0.0134$). A subgroup analysis by gender quantifies scenario-induced survival gaps via bootstrap; contrasts are directionally stable but small. Results are not causally identified; they demonstrate the framework's capacity for internal structural scenario comparison under observational data constraints.
Problem

Research questions and friction points this paper is trying to address.

student dropout
temporal modeling
counterfactual policy simulation
time-to-event
observational data
Innovation

Methods, ideas, or system contributions that make the work stand out.

temporal modeling
counterfactual policy simulation
student dropout prediction
discrete-time survival analysis
LMS engagement data
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