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Applied of the Self-Organizing Maps (SOM) Method for Clustering Educational Equity in South Sulawesi

by Andi Restu Gunawan, Sudarmin, Zulkifli Rais
Department of Statistics, Universitas Negeri Makassar, Indonesia
Department of Statistics, Universitas Negeri Makassar, Indonesia
Department of Statistics, Universitas Negeri Makassar, Indonesia
* Author to whom correspondence should be addressed.
ARRUS Journal of Mathematics and Applied Science 2024, 4(1), 6-19; https://doi.org/10.35877/mathscience2607
Submission received: 2024-05-29 Published: 2024-06-30
(This article belongs to the Section Articles)
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Abstract

This research aims to group regencies/cities based on education indicators and identify the characteristics of each group formed based on education indicators. The method used in this research is Self self-organizing map (SOM). SOM is an artificial neural network that requires no assumptions and a method that produces a representation of the input space from low-dimensional training samples. The data used in this research are 9 variables regarding pure enrollment rates, gross enrollment rates, and student-to-teacher ratios at each level of education in 24 districts/cities in South Sulawesi in 2020-2021 which come from BPS publications. Based on the results obtained, 4 clusters were formed, each of which had its characteristics. The clusters formed include Cluster 1 consisting of 7 regencies/cities, cluster 2 consisting of 10 regencies/cities, cluster 3 consisting of 4 regencies/cities, and Cluster 4 consisting of 2 regencies. Based on the results of cluster validation using the Dunn index, 4 optimal clusters were obtained with a value of 0.42.

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Gunawan, A. R., Sudarmin, S., & Rais, Z. (2024). Applied of the Self-Organizing Maps (SOM) Method for Clustering Educational Equity in South Sulawesi. ARRUS Journal of Mathematics and Applied Science, 4(1), 6–19. https://doi.org/10.35877/mathscience2607

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