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All Journal Jurnal Riset Statistika Rangkiang Mathematics Journal
Wirdiastuti, Chairina
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Decision Sciences, Operations Research & Management Mathematics Other

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Pengelompokkan Kabupaten/Kota di Provinsi Sumatera Barat Berdasarkan Indikator Kesejahteraan Rakyat Menggunakan Algoritma SOM Winartha, Mardia; Wirdiastuti, Chairina; Salma, Admi
Jurnal Riset Statistika Volume 5, No. 1, Juli 2025, Jurnal Riset Statistika (JRS)
Publisher : UPT Publikasi Ilmiah Unisba

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.29313/jrs.v5i1.6707

Abstract

Abstract. People's welfare is the main indicator in measuring the success of a region's development. Welfare reflects the fulfillment of people's basic needs, both material and spiritual, as measured through indicators of people's welfare. West Sumatra Province still shows a welfare gap between districts/municipalities, which can be seen from significant differences in indicators such as employment and poverty. Therefore, the purpose of this article is to cluster districts/cities in West Sumatra Province and recognize the characteristics of each cluster according to the people's welfare indicators in 2023 using the self-organizing maps algorithm. The results of the analysis show that 3 clusters are the optimal number of clusters. Cluster 1 includes 7 districts/cities with higher welfare levels, cluster 2 includes 7 districts/cities with medium welfare levels, and cluster 3 includes 5 districts/cities with lower welfare levels. This article is expected to help create better and more equitable policies that will support the improvement of people's welfare in West Sumatra Province. Abstrak. Kesejahteraan rakyat menjadi indikator utama dalam mengukur keberhasilan pembangunan suatu wilayah. Kesejahteraan mencerminkan kondisi terpenuhinya kebutuhan dasar masyarakat, baik material maupun spiritual yang diukur melalui indikator-indikator kesejahteraan rakyat. Provinsi Sumatera Barat masih menunjukkan kesenjangan kesejahteraan antar kabupaten/kota yang terlihat dari perbedaan signifikan pada indikator seperti ketenagakerjaan dan kemiskinan. Oleh sebab itu, tujuan dari artikel ini adalah untuk mengelompokkan kabupaten/kota di Provinsi Sumatera Barat dan mengenali karakteristik setiap cluster sesuai dengan indikator kesejahteraan rakyat pada tahun 2023 menggunakan algoritma self-organizing maps. Hasil analisis menunjukkan bahwa 3 cluster adalah jumlah cluster optimal. Cluster 1 meliputi 7 kabupaten/kota dengan tingkat kesejahteraan yang lebih tinggi, cluster 2 meliputi 7 kabupaten/kota dengan  tingkat kesejahteraan menengah, dan cluster 3 meliputi 5 kabupaten/kota dengan tingkat kesejahteraan yang lebih rendah. Artikel ini diharapkan dapat membantu menciptakan kebijakan yang lebih baik dan merata yang akan mendukung peningkatan  kesejahteraan rakyat di Provinsi Sumatera Barat.
Nonparametric Fourier Series Regression for Unemployment Analysis in Banten Province Barokah, Bunga Miftahul; Fitri, Fadhilah; Wirdiastuti, Chairina
Rangkiang Mathematics Journal Vol. 5 No. 1 (2026): Rangkiang Mathematics Journal
Publisher : Department of Mathematics, Universitas Negeri Padang (UNP)

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24036/rmj.v5i1.90

Abstract

The Open Unemployment Rate (OUR) is a vital indicator of regional economic performance, particularly in Banten Province, which faces disparities in education and poverty. This study models the unemployment rate using two predictors: average years of schooling and poverty level, through a nonparametric Fourier series regression for the 2017–2024 period. This method provides greater flexibility in capturing the nonlinear and fluctuating patterns often observed in socio-economic data. The analysis used secondary data from Statistics Indonesia (BPS), beginning with descriptive statistics and data visualization. Models were evaluated using Generalized Cross-Validation (GCV) and the coefficient of determination (R²). The optimal model was found at K = 3, with a GCV of 2.4057 and an R² of 0.5155. The model effectively captured the non-linear relationships between unemployment, education, and poverty. Although the R² value is moderate, this indicates that including additional explanatory variables could enhance the model’s performance. These findings support the use of Fourier series regression as an alternative approach for labor market analysis, especially when linear methods fall short and provide insights for developing more targeted employment policies.
Co-Authors Barokah, Bunga Miftahul Fitri, Fadhilah Salma, Admi Winartha, Mardia