通过学习显式条件分布预测本科生成绩的新方法

Na Zhang;Ming Liu;Lin Wang;Shuangrong Liu;Runyuan Sun;Bo Yang;Shenghui Zhu;Chengdong Li;Cheng Yang;Yuhu Cheng
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摘要

教育数据挖掘(EDM)为预测学生下学期的课程成绩提供了一种有效的解决方案。传统的成绩预测方法可以看作是对学生成绩概率分布的回归期望,通常称为单值成绩预测。这些方法的可靠预测结果取决于与学生相关的完整输入信息。然而,由于未来数据的不可获取性和数据的私密性,下学期成绩预测往往会遇到输入信息不完整的难题。在这种情况下,单值成绩预测很难评估学生的学业状况,因为依靠单一期望值可能无法体现和评估学生的学业状况。这种局限性增加了误判的风险,可能导致教育决策失误。考虑到收集完整输入信息的挑战,我们从传统的单值预测转向预测课程成绩的明确概率分布。成绩的概率分布可以通过提供与所有可能成绩值相对应的概率来评估学生的学业状况,而不是仅仅依赖于期望值,这为教育者的决策提供了基础支持。本文提出了课程成绩分布预测(CGDP)模型,旨在估算下学期课程成绩的显式条件概率分布。该模型可以识别高危学生,为教育工作者和学生提供全面的决策信息。为了确保精确的分布预测,还采用了校准方法来提高预测概率与实际概率之间的一致性。实验结果基于真实的大学数据,验证了所提模型在本科生成绩预警方面的有效性。
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A Novel Grades Prediction Method for Undergraduate Students by Learning Explicit Conditional Distribution
Educational data mining (EDM) offers an effective solution to predict students’ course grades in the next term. Conventional grade prediction methods can be viewed as regressing an expectation of the probability distribution of the student's grade, typically called single-value grade prediction. The reliable prediction outcomes of these methods depend on the complete input information related to students. However, next-term grade prediction often encounters the challenge of incomplete input information due to the inaccessibility of future data and the privacy of data. In this scenario, single-value grade prediction struggles to assess students’ academic status, as it may not be represented and assessed by relying on a singular expectation value. This limitation increases the risk of misjudgment, and may lead to errors in educational decision-making. Considering the challenge of collecting complete input information, we shift from traditional single-value predictions to forecasting the explicit probability distribution of the course grade. The probability distribution of the grade can assess the students’ academic status by providing probabilities corresponding to all possible grade values rather than relying solely on an expectation value, which offers the foundation to support the educators’ decision-making. In this article, the course grade distribution prediction (CGDP) model is proposed, aiming to estimate an explicit conditional probability distribution of course grades in the next term. This model can identify at-risk students, offering comprehensive decision-making information for educators and students. To ensure precise distribution predictions, a calibration method is also employed to improve the alignment between predicted and actual probabilities. Experimental results verify the effectiveness of the proposed model in early grade warning for undergraduates, based on real university data.
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