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Journal : Scientific Journal of Informatics

Modified Mixed Effects Random Forest in Small Area Estimation Using PCA and Rotation Forest with Correlated Auxiliary Variables Ananda, Rizki; Notodiputro, Khairil Anwar; Aidi, Muhammad Nur
Scientific Journal of Informatics Vol. 11 No. 3: August 2024
Publisher : Universitas Negeri Semarang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.15294/sji.v11i3.10633

Abstract

Purpose: The per capita expenditure data in Jambi Province, Indonesia have been plagued with severe multicollinearity problems. To address the issue, this study developed an effective small area estimation (SAE) method, which is essential for formulating comprehensive regional development policies in Jambi Province. By modifying the mixed effects random forest (MERF) method, we introduced PCA-MERF (which applies principal component analysis prior to MERF) and MERoF (which replaces the standard random forest with rotation forest) to handle multicollinearity more effectively. Data from the National Socioeconomic Survey (Susenas) in March 2021 and Village Potential (PODES) in 2021 were utilized. The methods were evaluated using metrics such as root mean square error (RMSE), relative root mean square error (RRMSE), coefficient of variation (CV), and their ability to capture random area effects. The random effect block (REB) bootstrap approach was employed to obtain MSE estimates for evaluating area-level estimate quality. Result: The results showed that MERoF outperformed both MERF and PCA-MERF, particularly in unit-level (village) estimation. Additionally, MERoF demonstrated superior capability in capturing variation between subdistricts compared to MERF and PCA-MERF. PCA-MERF performed better than MERF and MERoF at the area level (subdistrict). All three methods showed acceptable performance with RRMSE and CV values ranging between 8% and 10%, indicating precise and reliable predictions for per capita expenditure in small areas. These modifications to MERF prove effective and advantageous for small-area estimation in datasets with significant multicollinearity. Novelty: This research introduces a novel semi-parametric, tree-based SAE approach, enhancing the precision of per capita expenditure estimates and supporting more informative regional policy decisions, thus filling a gap in current SAE methodologies.
Co-Authors AFIFAH, UMI Ahmad Fauzan Aljannah, Fathimah Qotrunnada Amelia, Rosa Ananda Nasution, M. Dolly Ananda, Rusydi Andriansah, Zjulpi Armansyah, A Arya Rudi Nasution Aulia, Naila Selvi Ayuni, Lia Rista Azzikra, Rahma Cahyati, Ledy Chairul Anwar Dadang Dwi Septiyan, Dadang Dwi Dalimunthe, Putri Ani Dari, Fitri Wulan Deasy Kartika Rahayu Kuncoro Dian Septinova Donni Siregar, Meriah Romah Eka Yuliani, Chania Eldita, Sirda Eti Hadiati Fadhilaturrahmi Fadhilaturrahmi Febriana, Putri Hana Gasmi, Nur Hasfarina, Fitri Hasibuan, Abdurrozzaq Hermini Susiatiningsih Hia, Tasya Bernatha Hutasuhut, Nurul Inayah Huzni , Syifaul Iis Aprinawati, Iis Indah Oktafiyanti, Trisna Iskandar Abdul Samad Kasturi, Rima Khaira Nova Kimberly Febrina Kodrat Kisvanolla, Anugerah Lase, Syarif Hidayat Lubis , ‪Riadini Wanty Maharani3, Wasima Agita Marisa, Vera Mayura, Vini Mhd Furqan Misnati, Kesi Mufarizuddin Muhammad Nur Aidi Nadiroh Nilawati Tadjuddin Nurhayati Nurul Murtadho Pakpahan5, Rosinta Pasaribu, Ahmad Hamdani Patak, Andi Anto Putri, Resti Amanda Rahmadhansyah, Adrian Rahmadiah, Putri Ria Pasaribu, Tio Ritonga, Dedi Prima Rizal, Muhammad Syahrul Samosir, Nus Dencoco Serasi Ginting, Budi Sinaga, Anastasia Siti Sarah Fitriani, Siti Sarah Sovia Mas Ayu Subuea, Siti Rahmah Sumianto Sumianto Surya, Yeni Fitra Syahara, Usnaini Syahrio Tantalo Syaiful Anwar Syamsul Rizal Tanjung, Iqbal Theresia Amelia Pawitra Wasehudin, Wasehudin Widiasih, Wiwik Yenni Fitra Surya Yusnira Yusuf Hanafi Zhafira, Nabila