利用拟泊松回归克服直接数学学习模型的过度分散

Powell Gian Hartono, G. M. Tinungki, J. Jakaria, Agus Budi Hartono, P. G. Hartono, Richy Wijaya
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引用次数: 3

摘要

本研究旨在克服微积分科目期末考试成绩过于分散的问题。成绩差距的出现,离不开内部因素和外部因素的影响。内部因素是源于学生自身的因素。相比之下,外部因素是指存在于学生之外,能够影响学生成功或失败的因素,如学习环境、考试发生的物理环境、学生拥有和使用的基础设施和设施、考试期间的状况等。这些因素与期末考试成绩差距的关系可以用泊松回归分析来处理,因为泊松回归假设响应变量的泊松分布具有等离散性。有必要进行研究,找出导致最终成绩差异的因素,以便克服,即通过实施直接学习。得到的结果表明,随着数学直接学习的应用,不存在过度分散,而期末考试成绩的低分在增加,导致期末考试成绩的方差小于平均成绩。
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Overcoming Overdispersion on Direct Mathematics Learning Model Using the Quasi Poisson Regression
The study aims to overcome the overdispersion in the final exam score of Calculus subject. The occurrence of a gap in the score is inseparable from the influence of internal factors and external factors. The internal factors are factors that originate within students themselves. In contrast, external factors are factors that exist outside of students that can affect students’ success or failure, such as learning environment, the physical environment where the exam takes place, infrastructure and facility that are owned and used by students, and their condition during the exam. The connection of these factors to the gap in final exam scores can be approached with Poisson regression analysis because Poisson Regression assumes a Poisson distribution of response variables with equidispersion. It is necessary to conduct a research to find out the factors that cause the diversity of the final score in order to overcome, that is by implementing direct learning. The results obtained show that with the application of direct mathematics learning, there is no overdispersion, while the low score of the final exam results in an increase, resulting in the variance of final exam results to be smaller than the average score.
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