Zero-augmented models for exploring the factors affecting the pass rate of 2016 grade 10 learners in Khomas region, Namibia

Rapikama Mumbuu, L. Pazvakawambwa, Opeoluwa Oyedele
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Abstract

The poor performance of grade 10 learners has been a big concern over the last few years and in the effort to understand this phenomenon there has been efforts to present models that explain it. This study aimed at exploring the factors which influence Khomas Region grade 10 learners' pass rate using Generalized Linear Models (GLMs). The data used for this study was obtained from the Directorate of National Examination and Assessment for the year 2016, with permission from the Permanent Secretary of the Ministry of Education (DNEA). With the presence of excess zeros in the study data, six GLMs were explored (Poisson, Negative Binomial, Hurdle Poisson, Hurdle Negative Binomial, Zero Inflated Poisson and Zero- Inflated Negative Binomial) to assess their goodness of fit on modelling the zero-inflated DNEA count data. Afterwards, the better performing GLM was used in achieving the study aim. The Zero- Inflated Negative Binomial performed better based on its lowest Akaike Information Criterion (AIC) values among the six fitted GLMs. Results from the fitted Zero- Inflated Negative Binomial model revealed that the age of the learner, school location and the type of school (private/state) had significant differential in the pass rate of grade 10 learners, with p-values < 0.05 in the Zero- Inflated Negative Binomial model. Thus, it is recommended that for densely populated areas, emphasis should be put on building more schools in these areas so that classrooms are not overcrowded per subject. In addition, overaged learners should also be given extra assistance such as extra classes and extra motivation.
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零增强模型用于探索影响纳米比亚Khomas地区2016年10年级学生通过率的因素
在过去的几年里,十年级学生的糟糕表现一直是一个大问题,为了理解这一现象,人们努力提出解释这一现象的模型。本研究旨在运用广义线性模型(Generalized Linear Models, GLMs)探讨影响霍玛斯地区十年级学生通过率的因素。本研究使用的数据从2016年国家考试和评估局获得,并获得教育部常务秘书(DNEA)的许可。由于研究数据中存在多余的零,我们探索了6种glm(泊松、负二项、跨栏泊松、跨栏负二项、零膨胀泊松和零膨胀负二项),以评估它们对零膨胀DNEA计数数据建模的拟合优度。然后,使用性能较好的GLM来实现研究目标。零膨胀负二项在六个拟合的glm中表现较好,基于其最低的赤池信息准则(AIC)值。从零膨胀负二项模型拟合的结果来看,学习者的年龄、学校位置和学校类型(私立/公立)对10年级学习者的通过率有显著差异,在零膨胀负二项模型中p值< 0.05。因此,建议在人口稠密的地区,重点应放在在这些地区建造更多的学校,这样教室就不会每门课都人满为患。此外,超龄学习者也应该给予额外的帮助,如额外的课程和额外的激励。
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