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Anang Kurnia
School Of Data Science, Mathematics And Informatics, IPB University, Indonesia
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Advancing Panel Data Analysis: A Dual-Evidence Assessment of Linear Mixed Models Rahayu, Melania Dwi; Djuraidah, Anik; Kurnia, Anang
Journal of Mathematics, Computations and Statistics Vol. 9 No. 2 (2026): Volume 09 Issue 02 (June 2026)
Publisher : Jurusan Matematika FMIPA UNM

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.35580/8h6xxf09

Abstract

This study evaluates and compares seven panel data model specifications in capturing temporal and cross-sectional variation using both simulated and empirical data. Panel data is employed for its ability to simultaneously account for heterogeneity across units and temporal dependence over time. In the first stage, Monte Carlo simulations assess model performance under controlled temporal structures, including AR(1), AR(2) and MA(3) processes. In the second stage, the models are applied empirically to poverty data across regencies and cities in East Java from 2012 to 2022. Simulation results are indicate that models explicitly incorporating stochastic temporal dynamics achieve the lowest RMSE, while specifications treating time merely as a covariate consistently underperform. Empirical results show that two-way fixed effects models controlling for persistent unit heterogeneity and common year effects provide the best predictive performance. Overall, findings highlight that appropriately modelling temporal variation is crucial for accurate panel data predictions, and the comparative evaluation offers guidance for selecting suitable model specifications in applied settings.
Co-Authors . Hanniva . Marzuki . Sutriyati Abdullah Ilman Fahmi Achmad Fauzan Achmad Fauzan, Achmad Adeline Vinda Septiani Agus Buono Agus M Soleh Agus Mohamad Soleh Ahmad Ansori Mattjik Ajeng Bita Alfira Aji Hamim Wigena Alkahfi, Cahya Amalia Pasaribu, Asysta Amin, Yudi Fathul Anik Djuraidah Anisa, Rahma Ardiansyah, Muhlis Arie Anggreyani Arie Wahyu Wijayanto Arief Gusnanto ASEP SAEFUDDIN Astri Fatimah Azka Ubaidillah Bagus Sartono Bambang Sumantri Bambang Sumantri Beny Trianjaya Budi Susetyo Budi Susetyo Budi Waryanto Budi Waryanto Cici Suhaeni Citra Jaya Dede Dirgahayu Dede Dirgahayu Deiby T Salaki Dewi Juliah Ratnaningsih Dhea Dewanti Dian Handayani Dian Handayani Dian Kusumaningrum Dian Kusumaningrum Dian Kusumaningrum, Dwi Agustin Nuriani Sirodj Dwi Wahyu Triscowati Efriwati Efriwati Erfiani Erfiani Erfiani Erfiani Erfiani Erwan Setiawan Erwan Setiawan, Erwan Fahmi, Abdullah Ilman Farit Mochamad Afendi Farit Mohamad Afendi Fauzi, Fatkhurokhman Fauziah, Ghina Febryna Sembiring Fitri Dewi Shyntia Fitrianto, Anwar Fitriyani Sahamony, Nur Gerry Alfa Dito Hamid, Assyifa Lala Pratiwi Hamim Wigena, Aji Haq, Irvanal Hari Wijayanto Hari Wijayanto Hari Wijayanto Hestiani Wulandari Hidayat, Agus Sofian Eka Hidayat, Muhammad I Made Sumertajaya I Wayan Mangku IJSA, Indonesian Journal of Statistics and Its Applications Ikhlasul Amalia Rahmi Ina Widayanty Indah Herlawati Indahwati Indonesian Journal of Statistics and Its Applications IJSA Ita Wulandari Iwan Kurniawan Khairani, Fitri Khairil Anwar Notodiputro Khairil Anwar Notodiputro Kristuisno Martsuyanto Kapiluka Kusman Sadik Kusman Sadik Loly, Joao Ferreira Rendes Bean Marshelle, Sean Matualage, Dariani Maulana Achiar, Anshari Luthfi Muhammad Nur Aidi Mulianto Raharjo Nashir, Husnun Newton Newton Newton, Newton Nurul Hidayati Pardomuan Robinson Sihombing Pasaribu, Asysta Amalia Pingkan Awalia Pramana, Setia Purba, Widyo Pura Purwanto, Arie Putri, Christiana Anggraeni Rahardiantoro, Septian Raharjo, Mulianto Rahayu, Melania Dwi Rahma Anisa Rahman, Gusti Arviana Retsi Firda Maulina Ristiyanti Ristiyanti Rysda Rysda Ryska Putri Madyasari Sahamony, Nur Fitriyani Santoso, Andrianto Santoso, Zein Rizky Sari Agustini Hafman Setyowati, Indah Rini Siregar, Jodi jhouranda Siskarossa Ika Oktora Siti Muchlisoh Suhaeni, Cici Suprayogi, Muhammad Azis Suprayogi, Muhammad Aziz Teguh Prasetyo Thooriq Ghaith Topan . Ruspayandi Trianjaya, Beny Triscowati, Dwi Wahyu Tyas, Maulida Fajrining Utami Dyah Syafitri Viarti Eminita Widiyanto, Rhendy K. P. Widoretno, Widoretno Wulandari, Hestiani Yani Nurhadryani Yenni Angraini Yenni Kurniawati Yudistira Yudistira Yudistira Yudistira Yully Sofyah Waode Zafira Fakhriyah