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Journal : M A T H L I N E : Jurnal Matematika dan Pendidikan Matematika

Application of Geographically Weighted Panel Regression (GWPR) on Tuberculosis Disease in North Sumatra Province Khairani, Sabila; Aprilia, Rima
Mathline : Jurnal Matematika dan Pendidikan Matematika Vol. 10 No. 3 (2025): Mathline : Jurnal Matematika dan Pendidikan Matematika
Publisher : Universitas Wiralodra

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31943/mathline.v10i3.996

Abstract

Tuberculosis is an infectious disease caused by Mycobacterium tuberculosis and remains a serious health problem in Indonesia, particularly in North Sumatra Province. The increase in the number of cases from 2021 to 2023 indicates the need for an analytical approach that simultaneously considers spatial and temporal aspects. This study aims to apply the Geographically Weighted Panel Regression (GWPR) method to analyze the development of tuberculosis and identify the factors that significantly contribute to its spread in 33 regencies/cities in North Sumatra. Based on the results of the Chow and Hausman tests, it was found that the Fixed Effect Model (FEM) is the most suitable panel data approach to use before applying the GWPR model. The analysis shows that the three variables that most significantly influence the number of tuberculosis cases spatially are the population size, gender (male), and age ≥14 years. The application of GWPR with adaptive bisquare weighting resulted in the best model with an AIC value of 1141.567 and a coefficient of determination (R²) of 0.99578, indicating that GWPR is a highly effective approach for analyzing the spatial spread of infectious diseases such as tuberculosis. The GWPR model is able to explain the spread of tuberculosis more accurately compared to FEM because GWPR can capture the varying influence of each variable in each region, whereas FEM only produces a single coefficient value that applies to the entire area without considering the existing spatial variations.
Co-Authors Adawiyah, Robiyatul Adella Aulia Mukti Afnaria, Afnaria Afsari, Khaila Amanda Ulayyah Mahaputri Andy Sapta Anjeli, Sarifah Annisa Fadhillah Putri Siregar Aprianingsih, Melinda Ardiansyah, Fikri Nur Atika Nabila Ayilzi Putri Br. Rambe, Ramadiani Damanik, Mahyuni Br Damayanti Darmawan, Dian Deasy, Deasy Dedy Juliandri Panjaitan Della Arsita sari Dewi, Desi Erni Diah Reka Putri Ellysa Syahfitri Fairuz, Ersya Nurul Fajari Husnul Walid Fayed, Heba A. Fazariani, Nabila Fernanda, Fariz Hakim Fibri Rakhamawati Filia Sari, Rina Firmansyah Firmansyah Hasibuan, Riza Sakhbani Hema Pebria Rollingka Hendra Cipta Husna, Wilia Indah Widya Hanzani Irvan Ginting Ismail Husein, Ismail Khairani, Sabila Laila Agustin Pohan Lisa Setia Ningsih MA, Wilda Syahrani Mahaputri, Amanda Ulayyah Mahyuni Br Damanik Majidah, Nur Marwan Marwan Mawarni Mawarni Mawarni Mawarni Melati, Melati Puspita Sari Lubis Miwadari Miwadari Muhammad Harits Azhari Muhammad Ridwan Mutiara, Tia Nasution, Ainil Hafizha Nasution, Hamidah . Nasution, Syahronal Hidayat Ningsi, Ria Sagita Nur Iman Nuri Prasuci Nuriman Astuti Batubara Prasetya, Nurul Huda Puspita, Reni Putri Rahma Novia Putri, Ayilzi Putri, Chindy Aulia Rahayu, Tiwi Rakhmawati, Fibri Rina Filia Sari Rina Filia Sari, Rina Filia Rina Widyasari Riri Syafitri Lubis Riri Syahfitri Lubis Rismayani Rismayani Rismayani Rismayani Riza Sakhbani Hasibuan Sajaratud Dur Sajaratud Dur, Sajaratud Sapta, Andy Setiawan, Agun Siregar, Annisa Fadhillah Putri Siregar, Aulia Rahman Siregar, Machrani Adi Putri Siregar, Nurmala Sari Siti Aisyah Siti Handayani Sri Wahyuni Suci Pranasari Suendri Suendri, Suendri Sugarda, Ahmad Suhaimi, Syech Suhendra, Irfan Sulaiman Ananda Harahap Syahfitri, Sella Syahputri, Nenna Irsa Tanjung, Muhammad Afrizal Tarigan, Umar Abdul Gani Taufik Hidayat Manurung Tri Handayani Triase Triase Usna, Wilia Walid, Fajari Husnul Widyasari, Rina Wulandari, Mitha Yolandini Eka Putri Yuda, Muhammad Wira Yulinda, Jeni YUSMANIDAR, YUSMANIDAR Zakaria, Nur Haryani