Klasifikasi Kriteria Kemampuan Siswa Untuk Heterogenitas Kelompok Belajar Menggunakan Agglomerative Hierarchical Cluster Analysis

Wahyuni Suryaningtyas, Febriana Kristanti
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Abstract

Research on the classification of students' ability criteria uses quantitative data. In this research, the data used was secondary data in the form of PTS Mathematics data for class VII-B SMP Muhammadiyah 10 Surabaya. Determination of classification using the Sturges' Rule method, hypothetical categorization, and agglomerative hierarchical cluster analysis. The results of the classification research obtained for each method provide different intervals to determine student ability criteria. In Sturges' Rule and agglomerative hierarchical cluster analysis, although there are differences in the resulting intervals, the number of student frequencies is almost the same for each student's ability criteria. Meanwhile, the intervals on the hypothetical categorical method give different results with different frequencies for the number of frequencies on each criterion when compared to the Sturges' Rule method and agglomerative hierarchical cluster analysis. Measuring the accuracy of classification based on the difference in the mean, median, and standard deviation values, the comparison of the accuracy of the frequency distribution table with the cluster method is more accurate than the Sturges method and hypothetical categorization. The interval resulting from the cluster analysis gave results close to the mean, median, and standard deviation of PTS grade VII-B data at SMP Muhammadiyah 10 Surabaya.
学生学习异质性团体分析能力的标准分类
学生能力标准分类研究采用定量数据。本研究使用的数据为二手数据,采用的是SMP穆罕默迪亚10泗水VII-B级PTS数学数据。使用Sturges规则方法,假设分类和凝聚层次聚类分析确定分类。每种方法的分类研究结果为确定学生能力标准提供了不同的区间。在Sturges规则和凝聚层次聚类分析中,虽然结果区间存在差异,但对于每个学生的能力标准,学生频率的数量几乎相同。同时,与Sturges规则方法和聚类层次聚类分析方法相比,假设分类方法上的区间在每个准则上的频率数不同时给出了不同的结果。通过均值、中位数和标准差值的差值来衡量分类的准确率,聚类方法比较频率分布表的准确率比Sturges方法和假设分类法更准确。聚类分析的区间结果接近SMP Muhammadiyah 10 Surabaya的PTS等级7 - b数据的平均值、中位数和标准差。
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