Comparison of Cluster Average Linkage and K-Means Analysis Methods for Poverty Grouping in The Nusa Tenggara Area

##plugins.themes.academic_pro.article.main##

Muhammad Alimuddin
Lisa Harsyiah
Zulhan Widya Baskara

Abstract

Poverty is a problem that often occurs and is a fundamental problem in almost all developing countries, including Indonesia. The Nusa Tenggara region consists of two administrative regions, namely the Provinces of West Nusa Tenggara (NTB) and East Nusa Tenggara (NTT) which have high poverty rates. The increase in the number of poor people was caused by several indicators such as environmental conditions, education, income, health, access to goods and services, and others. The purpose of this research is to determine the best method in the process of classifying poverty with the cluster analysis method. The methods used in this study are the average linkage and K-Means cluster analysis methods, as well as the silhouette index method in terms of cluster validation to obtain the best cluster analysis method. The data used is poverty data for the Nusa Tenggara Region in 2021 which includes four poverty sectors, namely employment, education, health, and housing and the environment. Based on the research results, the best method for grouping is the K-Means cluster analysis method by forming three clusters where the first cluster consists of 3 districts/cities, the second cluster consists of 22 districts/cities, and the third cluster consists of 7 districts/cities. The K-Means cluster analysis method is the best method with the highest silhouette index value of 0.28, higher than the average linkage method which obtained a silhouette index value of 0.27.

##plugins.themes.academic_pro.article.details##

How to Cite
Alimuddin, M., Harsyiah, L., & Baskara, Z. W. (2026). Comparison of Cluster Average Linkage and K-Means Analysis Methods for Poverty Grouping in The Nusa Tenggara Area. EIGEN MATHEMATICS JOURNAL, 9(1), 9–18. https://doi.org/10.29303/emj.v9i1.243

References

  1. Badan Pusat Statistik, Statistik Indonesia 2020, vol. 53. Springer, 2022. https://www.bps.go.id/id/publication/2020/04/29/e9011b3155d45d70823c141f/statistik-indonesia-2020.html.
  2. M. W. Talakua, Z. A. Leleury, and A. W. Taluta, “Analisis cluster dengan menggunakan metode k-means untuk pengelompokkan kabupaten/kota di provinsi maluku berdasarkan indikator indeks pembangunan manusia tahun 2014,†BAREKENG : Journal of Mathematics and Its Applications, vol. 11, no. 2, pp. 119–128, 2017. https://doi.org/10.30598/barekengvol11iss2pp119-128.
  3. D. Widyadhan, R. B. Hastuti, I. Kharisudin, and F. Fauzi, “Perbandingan analisis klaster k-means dan average linkage untuk pengklasteran kemiskinan di provinsi jawa tengah,†Prosiding Seminar Nasional Matematika Jurusan Matematika Fakultas MIPA Universitas Negeri Semarang, vol. 4, pp. 584–594, 2021. https://journal.unnes.ac.id/sju/prisma/article/view/45032.
  4. I. P. Putra and A. Fadhillah, “Perbandingan metode k-means dan hierarchical clustering dalam pengelompokan data penduduk miskin di kabupaten cianjur,†Jurnal Inovasi dan Tren, vol. 3, no. 1, pp. 227–234, 2025. https://doi.org/10.35870/ljit.v3i1.4028.
  5. W. Alwi and M. Hasrul, “Analisis klaster untuk pengelompokkan kabupaten/kota di provinsi sulawesi selatan berdasarkan indikator kesejahteraan rakyat,†Jurnal Matematika dan Statistika serta Aplikasinya, vol. 6, no. 1, pp. 35–42, 2018. https://doi.org/10.24252/msa.v6i1.4782.
  6. Z. R. Putri, “Perbandingan analisis cluster hierarki aglomeratif dengan menggunakan metode single linkage, complete linkage dan average linkage,†Jurusan Statistika, Fakultas Matematika Dan Ilmu Pengetahuan Alam, Universitas Islam Indonesia, Yogyakarta, 2017. https://dspace.uii.ac.id/handle/123456789/31493.
  7. S. Pratiwi, T. Widiharih, and A. Hakim, “Analisis klaster metode ward dan average linkage dengan validasi dunn index dan koefisien korelasi cophenetic (studi kasus: Kecelakaan lalu lintas berdasarkan jenis kendaraan tiap kabupaten/kota di jawa tengah tahun 2018),†Jurnal Gaussian, vol. 8, no. 4, pp. 486–495, 2019. https://doi.org/10.14710/j.gauss.8.4.486-495.
  8. E. Prasetyo, Data mining : konsep dan aplikasi menggunakan MATLAB, vol. 1. CV Andi Offset, 2012. https://elibrary.bsi.ac.id/readbook/200350/data-mining-konsep-dan-aplikasi-menggunakan-matlab.
  9. B. Ruswandi, Analisis Klaster K-Means dan K-Median Pada Data. https://repository.uinjkt.ac.id/dspace/bitstream/123456789/21826/1/FEBRIYANA-FST.pdf.
  10. R. Handoyo, R. Mangkudjaja, and S. M. Nasution, “Perbandingan metode clustering menggunakan metode single linkage dan k - means pada pengelompokan dokumen,†Jurnal SIFO Mikroskil, vol. 15, pp. 73–82, 10 2014. https://doi.org/10.55601/jsm.v15i2.161.

Similar Articles

1 2 3 4 5 6 > >> 

You may also start an advanced similarity search for this article.

Most read articles by the same author(s)

1 2 > >>