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All Journal MANAJEMEN HUTAN TROPIKA Journal of Tropical Forest Management Jurnal Gizi dan Pangan FORUM STATISTIKA DAN KOMPUTASI SAINSMAT CAUCHY: Jurnal Matematika Murni dan Aplikasi JAM : Jurnal Aplikasi Manajemen JUITA : Jurnal Informatika Jurnal Pengelolaan Sumberdaya Alam dan Lingkungan (Journal of Natural Resources and Environmental Management) Forum Geografi Jurnal Pendidikan Geografi: Kajian, Teori, dan Praktik dalam Bidang Pendidikan dan Ilmu Geografi Sinkron : Jurnal dan Penelitian Teknik Informatika BAREKENG: Jurnal Ilmu Matematika dan Terapan Saintifik : Jurnal Matematika, Sains, dan Pembelajarannya Eksakta : Berkala Ilmiah Bidang MIPA STI Policy and Management Journal SAINSMAT: Jurnal Ilmiah Ilmu Pengetahuan Alam Xplore: Journal of Statistics Scientific Journal of Informatics Media Penelitian dan Pengembangan Kesehatan Indonesian Journal of Statistics and Its Applications
Muhammad Nur Aidi
Department Of Statistics, Faculty Of Mathematics And Sciences, IPB University, Bogor 16680, Indonesia
Agriculture, Biological Sciences & Forestry Astronomy Biochemistry, Genetics & Molecular Biology Chemical Engineering, Chemistry & Bioengineering Chemistry Civil Engineering, Building, Construction & Architecture Computer Science & IT Control & Systems Engineering Decision Sciences, Operations Research & Management Dentistry Earth & Planetary Sciences Economics, Econometrics & Finance Education Electrical & Electronics Engineering Energy Engineering Environmental Science Health Professions Materials Science & Nanotechnology Mathematics Mechanical Engineering Medicine & Pharmacology Physics Transportation Other

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Journal : Scientific Journal of Informatics

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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 . Erfiani Agus Mohamad Soleh Ahmad Nur Rohman Aji Hamim Wigena Akbar Rizki Anang Kurnia Andi Setiawan Anik Djuraidah Anis Dyah Rahmawati ASEP SAEFUDDIN Bagus Sartono Bayu Pranata, Bayu Budi Susetyo Budi Susetyo Budi Utomo Choirun Nisa Cynthia Wulandari Dwi Agustin Nuriani Sirodj Efriwati Efriwati Efriwati Efriwati Erfiani Erfiani Faqih Udin dan Jono M. Munandar Meivita Amelia Fildzah Hanum Syazwina Fitrah Ernawati Fitrah Ernawati Hapsari, Nimas Ayu Haq, Irvanal Hari Wijayanto Haryanto, Sugi Hikmah, Zetil I Made Sumertajaya Indahwati Irene Muflikh Nadhiroh Itasia Dina Sulvianti Khairani, Fitri Khairil Anwar Notodiputro La Ode Abdul Rahman La Ode Abdul Rahman Lailan Syaufina LILIK BUDIPRASETYO Lulu Mahdiyah Sandjadirja Mahfuz Hudori Maulana Achiar, Anshari Luthfi Muhammad Nuruddin Prathama mutiah, siti Nadya Amelia Dewi Suryana Nuramaliyah, Nuramaliyah Nurfadilah, Khalilah Pramana, Setia Pranata, Ismail Puput Cahya Ambarwati Putu Gita Karlina Jayanti Qital, Dari Aulia Rahma Anisa Retno Ariyanti Pratiwi Rifaldi, Destriana Aulia Rika Rachmawati Rizki Ananda Sandhi Imam Maulana Santy Suryanty Sugi Haryanto Sukisman Tjitrosemito Sulaeman, Sulthan Naufal Syella Sumampouw Tiara, Yesan Ulfa Afilia Shofa Utami Dyah Syafitri Widoretno, Widoretno Zulhijrah, Zulhijrah Zunita Sari