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All Journal Jurnal Matematika BIMASTER Jambura Journal of Mathematics Variance : Journal of Statistics and Its Applications Abdimas Galuh : Jurnal Pengabdian Kepada Masyarakat Jurnal Pengabdian kepada Masyarakat Nusantara (JPkMN) Euler : Jurnal Ilmiah Matematika, Sains dan Teknologi STATISTIKA
Hendra Perdana
Universitas Tanjungpura
Agriculture, Biological Sciences & Forestry Computer Science & IT Decision Sciences, Operations Research & Management Economics, Econometrics & Finance Law, Crime, Criminology & Criminal Justice Mathematics Nursing Social Sciences

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Journal : Euler : Jurnal Ilmiah Matematika, Sains dan Teknologi

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Determining the Optimum Number of Clusters in Hierarchical Clustering Using Pseudo-F Steven Jansen Sinaga; Neva Satyahadewi; Hendra Perdana
Euler : Jurnal Ilmiah Matematika, Sains dan Teknologi EULER: Volume 11 Issue 2 December 2023
Publisher : Universitas Negeri Gorontalo

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.37905/euler.v11i2.23113

Abstract

Poverty refers to the condition where a person cannot meet the basic necessities based on the minimum living standards. Statistics Indonesia proxied an increase in the poverty rate in North Sumatra Province in 2021 from 8.75% to 9.01%. However, this increase is exclusive to North Sumatra Province, which has Indonesia's 3rd largest number of districts/cities. This study discussed mapping the North Sumatra Province region based on 10 poverty factor variables. The 10 variables are life expectancy, health complaints, poverty line, Gross Regional Domestic Product (GRDP), population growth rate, Expected Years of Schooling (EYS), Human Development Index (HDI), labor force participation rate, open unemployment rate, and district/city minimum wage. The Hierarchical Clustering analysis was employed to compare single, complete, and average linkage methods. The best method was determined based on the pseudo-F statistic value. 4 clusters had complete linkage methods, each of which possessed varied characteristics. Cluster 1 contains cities with the lowest poverty rate, including Medan City and  Pematang Siantar City. Cluster 2 consists of cities with low poverty rates, while Cluster 3 consists of cities with high poverty rates. Cities that are included in Cluster 4 have very high poverty rates, including South Nias District and Pakpak Bharat District. The clusters present significant poverty rate gaps among North Sumatra Province regions.
Co-Authors Al Amin Alex Sander Andi Hairil Alimuddin Anggi Putri Dewi Annisa Fitri Ariady Zulkarnain Aulia Puteri Amari Deni Wardani Dinda Lestari Dwi Nining Indrasari Eka Rizki Wahyuni Elga Fitaloka Evi Noviani Evy Sulistianingsih Evy Sulistianingsih Febriyanto, Ferdy Fery Prastio Firhan Januardi Firman Saputra Frans Xavier Natalius Antoni Gilang Habibie Hasanuddin Hasanuddin Helmi Helmi Ismi Adam Jajad Sudrajat Jawani Jawani Laksono Trisnantoro Lilit Tamara Dinta M. Deny Hafizzul Muttaqin Maisarah Maisarah Mariana Yopi Marwalida Rachmadiar Maulida Amanasari Mega Tri Junika Mida Mida Millennia Taraly Misrawi Misrawi Muhammad Ahyar Muhardi Mutiara Nurisma Rahmadhani Nanda Ayuni Nanda Shalsadilla Naomi Nessyana Debataraja Neva Satyahadewi Neva Satyahadewi Nur Asiska Nur Azmi Nurfitri Imro’ah Nurin Hafizah Nurmaulia Ningsih Paisal Paisal Pitriani Pitriani Pranata Anggi Qalbi Aliklas Rafika Aufa Hasibuan Rahmania Andarini Hatti Imanni Ratna Nursariyani Ratna Sari Dewi Ray Tamtama Reni Unaeni Ria Fuji Astuti Risko, Risko Sasqia Aklysta Antaristi Setyo Wir Rizki Setyo Wira Rizki Shantika Martha Silvia Andriany Steven Jansen Sinaga Suhardi Suhardi Thariq Thariq Titania Aurellia Wilda Ariani Wira Fujiyanto Enizar Wirda Andani Wirdha Eryani Yopi Saputra Yudhi Yumna Siska Fitriyani Yundari, Yundari Yundari, Yundari Yuveinsiana Crismayella