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Journal : Advance Sustainable Science, Engineering and Technology (ASSET)

Comparative Performance of GLMM and GEE for Longitudinal Beta Regression in Economic Inequality Modelling Sihombing, Pardomuan Robinson; Erfiani; Khairil Anwar Notodiputro; Anang Kurnia
Advance Sustainable Science Engineering and Technology Vol. 7 No. 3 (2025): May - July
Publisher : Science and Technology Research Centre Universitas PGRI Semarang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.26877/asset.v7i3.2057

Abstract

Due to the shortcomings of conventional Gaussian methods, specialized models are frequently needed for longitudinal data analysis with bounded outcomes, such as the Gini ratio. In order to model economic inequality in Indonesia, this study compares the effectiveness of Generalized Linear Mixed Models (GLMM) and Generalized Estimating Equations (GEE) for beta-distributed longitudinal data. Root Mean Square Error (RMSE) and pseudo R-squared values are used to assess model performance using panel data from 10 provinces between 2018 and 2024 as well as important socioeconomic indicators. With lower RMSE and higher explanatory power across all provincial subsets, the results consistently demonstrate that GLMM performs better than both GEE and generalized linear models (GLM). ANOVA tests verify that modeling methodologies, not data heterogeneity in GRDP or Gini values, are responsible for the differences in model performance. These results demonstrate how well GLMM handles complex data structures and within-subject correlations, providing more accurate and effective estimates in longitudinal beta regression scenarios. The study encourages the use of GLMM for more precise longitudinal analysis in economic and social research and offers insightful information for researchers modeling inequality indices.
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 Adina Astasia Ahid Nur Istinah Ahmaddien, Iskandar Aji, Lexi Jalu Al Aqilah, Muhamad Refkhi Amin Prawiro Madhani Anang Kurnia Anita, Tiurida Lily 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 Bungkus Sasongko Purnomo Bungkus Sasongko Purnomo Busminoloan Busminoloan Cahya Alkahfi Daqiqil Id, Ibnu Deden Achmad Sunarjo Desak Ari Gita Wahyuni Deva A. Nurul Huda Devitama Patria Nagara Dhinnessa Prabowo Drajat Indra Purnama DRAJAT INDRA PURNAMA Dwi Muslianti Dyah Purwanti Ekowati Retnaningsih Erfiani Erfiani Erfiani Erfiani, Erfiani Erica Indryani Fadlol Muhammad Fajar Faiza Aina Nurrizqi Feri Fernandes Fitri Mudia Sari Frisca Adriana Gregorius Ivan Aditya Purwahendra Gultom, Yulifar Amin Gunawan, Ghina Hanifa HAMIDAH Hastoro Dwinantoaji Hema Malini, Hema Hendiva Tri Nugraha Hendry Frananda, Hendry Herman, Nur Ashilah Raihanah I Dewa Gede Sunanjaya I Gede Heprin Prayasta I Gede Heprin Prayasta Ida Ayu Candrawati Ida Ayu Candrawati Iis Hayyun Nurul Islam Ine Ratna Dewi Irma Nurmala Dewi Istiqomatul Fajriyah Yuliati Istiqomatul Fajriyah Yuliati Jaka Wijaya Kusuma Januar Ramadhan Karel Fauzan Hakim Kartika Maulidya Irzain Khairil Anwar Notodiputro Krisdianto, Boby Febri Kuat Sidik Wahyono Kurnia, Anang Leni Merdawati Lina Sari Lisna Sari Lisna Sari Luh Putu Widya Adnyani Mahuda, Isnaini Marta Sundari Marta Sundari Maryani, Sri Masruri Mochtar Maydita Ayu Nursaskiawati Mella Anisa Miftahul Huda Miftakhul Jannah Mohamad Arif Kurniawan Mohamad Arif Kurniawan Muchtar, Masruri Muhammad Hafiz Fadhilah Muhammad Heru Akhmadi Muhammad Ramadhan Zulfi Muliantino, Mulyanti Roberto Mun'im, Akhmad Neni Nur Laili Ersela Zain Ng, Kah Choon Ni Kadek Sinarwati Novitha, Irni Nurhidayati Nurhidayati Nurhidayati Nurhidayati Nuryanto Nuryanto Oki Prasetia Hendarsin Padhilah Dikri Pascal, Emilio Pradita Galih Sekar Palupi Puput Puspito Rini Putri Indi Rahayu Putu Pande Wahyu Diatmika Putu Widya Adnyani, Luh Rahayu, Putri Indi Rahmi Lathifah Islami Rama Bhaskara Praja Ramadhisa Fadli, Diva Aisyaliani Rini Rahani Risqi Nurika Fatha Hidayati Saeful Hidayat Sarah Sholikhatun Risma Septie Wulandary Sigit Budiantono Sigit Budiantono Sigit Budiantono Sigit Budiantono Sigit Budiantono Simbolon, Zefanya Grace Enos Sinarta Putra P. Surbakti Sodiqin, Achmad Sri Murdaningrum Stephanus, Matthew Sundari, Marta Supriatna, Yayat Suryadiningrat Suryadiningrat Suryadiningrat SYAMSUL HIDAYAT Taufik Febriyanto Temy Setiawan, Temy Triana Mauliasih Aritonang Triana Mauliasih Aritonang Ulfa Anggraini Usep Nugraha Wahyu Puji Lestari Widdia Angraini Wijaya, Lianna Wiradinata Lambok Silaban Wiranegara, Hanny Wahidin Wisnu Pratiko Y Yunita Yanti, Ni Komang Semara Yesi, Desri Yoshep Paulus Apri Caraka Yuda Yudhie Andriyana Yuninda Anggraini Putri Yunita Yunita Yunita Zain Yudha Prawira Zakir, Supratman