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Pardomuan Robinson Sihombing
BPS-Statistics Indonesia
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Journal : Jurnal TAMBORA

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COMPARISON OF GLM, GLMM AND GEE POISSON MATHEMATICAL MODELING PERFORMANCE (Case Study: Number of Pulmonary Tuberculosis Patients in Indonesia in 2019-2021) Pardomuan Robinson Sihombing
Jurnal TAMBORA Vol. 6 No. 3 (2022): EDISI 17
Publisher : Wakil Rektor 3, Direktorat Pengabdian kepada Masyarakat dan Publikasi, Universitas Teknologi Sumbawa

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.36761/jt.v6i3.2081

Abstract

This study aims to compare the performance of data modeling with Poisson regression with Generalized Linear Model (GLM), Generalized Linear Mixed Model (GLMM), and Generalized Estimating Equation (GEE) modeling. The case study used is a factor that affects the number of Pulmonary Tuberculosis cases in Indonesia with panel data. Based on the AIC criteria, the smallest BIC and RMSE GLMM models perform better than GLM and GEE. In addition, GLMM modeling also has a coefficient of determination value. The results showed that the percentage of the population smoking and the percentage of Unmet Kesehatan had a significant positive influence on the number of Pulmonary Tuberculosis cases. In contrast, the percentage of households who had access to handwashing with soap and proper drinking water significantly negatively influenced the number of Pulmonary Tuberculosis cases. Therefore, the public needs awareness to reduce cigarette consumption and increase environmental access, such as adequate and clean drinking water sources and handwashing.
ALTERNATIVE MODELS IN OVERCOMING THE PROBLEM OF OVERDISPERSION IN POISSON REGRESSION Pardomuan Robinson Sihombing; Ade Marsinta Arsani; Ni Komang Semara Yanti; Putu Pande Wahyu Diatmika
Jurnal TAMBORA Vol. 7 No. 2 (2023): EDISI 19
Publisher : Wakil Rektor 3, Direktorat Riset, Publikasi dan Inovasi, Universitas Teknologi Sumbawa

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.36761/jt.v7i2.2773

Abstract

This study aims to compare various alternative models in overcoming the problem of overdispersion in Poisson regression modeling. The comparative modeling is the Generalized Poisson model, Negative Binomial, and Generalized Negative Binomial. Modeling is applied to modeling the number of poor people in Central Java in 2021 with unemployment, HDI, and GRDP as independent variables. The results obtained by Generalized Poison are better than Negative Binomial and Generalized Negative Binomial because of the smaller AIC and BIC values ??and the larger R2. For simultaneous tests, it can be concluded that unemployment, HDI, and GRDP significantly affect the number of poor people. Only unemployment and HDI variables partially affect the number of poor people in Central Java. On the other hand, there is not enough evidence that GRDP affects some poor people. There is a need for comprehensive and relevant policies to overcome the number of poor people in an area.
Co-Authors Abdul Gofur Rochman Ade Famalika Ade Famalika Ade Marsinta Arsani Ade Marsinta Arsani Ade Marsinta Arsani Ade Marsinta Arsani Ade Marsinta Arsani Ade Marsinta Arsani Ade Marsinta Arsani Ade Marsinta Arsani Ade Marsinta Arsani Ade Marsinta Arsani Ade Marsinta Arsani Ade Marsinta Arsani Adina Astasia Ahid Nur Istinah Ajeng Taufina Ramadhanti Akhmad Mun'im Arsani, Ade Marsinta Artha Satwika Astawa, I Gede Putu Banu Avior Ocean Noya Bagus Sartono Bekti Endar Susilowati Bekti Endar Susilowati Bekti Endar Susilowati Bertho Tantular Bjardianto Pudjiono Budiantono, Sigit Bungkus Sasongko Purnomo Bungkus Sasongko Purnomo Busminoloan Busminoloan Cahya Alkahfi Deden Achmad Sunarjo Desak Ari Gita Wahyuni Deva A. Nurul Huda Dewi Arhaninka Dhinnessa Prabowo Drajat Indra Purnama DRAJAT INDRA PURNAMA Dwi Muslianti Dyah Purwanti Emilio Pascal Erica Indryani Fadlol Muhammad Fajar Faiza Aina Nurrizqi Feri Fernandes Fikri Dias Basmallah Fitri Mudia Sari Frisca Adriana Gabiela Gumilang Galuh Prabaningrum Ayu Sukarsa HAMIDAH Hastoro Dwinantoaji Hema Malini, Hema Hendiva Tri Nugraha Hendry Frananda, Hendry I Dewa Gede Sunanjaya I Gede Heprin Prayasta Ibnu Daqiqil Ida Ayu Candrawati Iis Hayyun Nurul Islam Ine Ratna Dewi Irma Nurmala Dewi Istiqomatul Fajriyah Yuliati Istiqomatul Fajriyah Yuliati Jaka Wijaya Kusuma Januar Ramadhan Johana Veronika Simanjuntak Karel Fauzan Hakim Krisdianto, Boby Febri Kuat Sidik Wahyono Lina Sari Lisna Sari Lisna Sari Luh Putu Widya Adnyani Mahuda, Isnaini Maisaroh Maisaroh Marta Sundari Marta Sundari Marta Sundari Masruri Mochtar Masruri Muchtar Masruri Muchtar Masruri Muchtar Masruri Muchtar Masruri Muchtar Masruri Muchtar Masruri Muchtar Maydita Ayu Nursaskiawati Mella Anisa Merdawati, Leni Miftakhul Jannah Mohamad Arif Kurniawan Mohamad Arif Kurniawan Muhamad Refkhi Al Aqilah Muhammad Faiz El Haq Muhammad Hafiz Fadhilah Muhammad Heru Akhmadi Muhammad Ramadhan Zulfi Muliantino, Mulyanti Roberto Neni Nur Laili Ersela Zain Ni Kadek Sinarwati Ni Komang Semara Yanti Nurhidayati Nurhidayati Nurhidayati Nurhidayati Nurul Islam, Iis Hayyun Octaviana, Aniek Oki Prasetia Hendarsin Padhilah Dikri Pradita Galih Sekar Palupi Prayoga Setiawan Puput Puspitorini Putri Indi Rahayu Putu Pande Wahyu Diatmika Rahayu, Putri Indi Rahmi Lathifah Islami Rahmi Lathifah Islami Rama Bhaskara Praja Rini Rahani Risqi Nurika Fatha Hidayati Rus Hertanto Saeful Hidayat Sarah Sholikhatun Risma Septie Wulandary Sigit Budiantono Sigit Budiantono Sigit Budiantono Sigit Budiantono Sigit Budiantoro Sinarta Putra P. Surbakti Sri Murdaningrum Sri Murtiningsih Suryadiningrat Suryadiningrat Suryadiningrat Syafrina Maulidiyah Taufik Febriyanto Temy Setiawan, Temy Triana Mauliasih Aritonang Triana Mauliasih Aritonang Ulfa Anggraini Usep Nugraha Wahyu Puji Lestari Widdia Angraini Wiradinata Lambok Silaban Wisnu Pratiko Y Yunita Yosef Felix Sitorus Yoshep Paulus Apri Caraka Yuda Yudhie Andriyana Yuninda Anggraini Putri Yunita Yunita Yunita Zain Yudha Prawira Zakir, Supratman Zufar Lutfi Wisanggeni