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Pendugaan Area Kecil untuk Persentase Anak Usia 7—17 Tahun yang Tidak Sekolah Level Kabupaten/Kota di Pulau Sumatera Tahun 2023 Wisly Ryanr Elieze; Aisyah 'Azizah Nur Rahmah; Karina Himalaya; Afidita Nabila Putri; Aditya Prameswara Achmadi; Azka Ubaidillah; Shafiyah Asy Syahidah
Jurnal Matematika, Statistika dan Komputasi Vol. 21 No. 1 (2024): SEPTEMBER 2024
Publisher : Department of Mathematics, Hasanuddin University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.20956/j.v21i1.36043

Abstract

Ensuring the quality of education is a fundamental commitment towards achieving sustainable development goals (SDGs). One effective strategy to enhance education quality is addressing the high number of children out of school. More precise district/city-level data on the percentage of out-of-school children needs to be provided. Estimation results from Susenas data show that Sumatra Island has the highest proportion of districts/cities with a Relative Standard Error (RSE) of over 25% compared to other islands in Indonesia. Therefore, this study applies Hierarchical Bayes (HB) Beta method by utilizing accompanying variables. The research reveals that the HB Beta estimator is the most effective in estimating the percentage of out-of-school children aged 7—17 years at the district/city level on Sumatra Island. The Small Area Estimation (SAE) model offers a more precise estimate than the direct estimator. Furthermore, there are 25 districts/cities with a high percentage of children aged 7—17 years who are not in school, with the majority located in the southern region of Sumatra Island
Implementation of Twofold HB Beta SAE Model to Estimate Out-of-School Children with Disabilities in Indonesia Aisha Maharani; Azka Ubaidillah; Adhi Kurniawan
Jurnal Aplikasi Statistika & Komputasi Statistik Vol 17 No 2 (2025): Jurnal Aplikasi Statistika & Komputasi Statistik
Publisher : Politeknik Statistika STIS

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.34123/jurnalasks.v17i2.851

Abstract

Introduction/Main Objectives: The high percentage of out-of-school children with disabilities in Indonesia reveals a significant gap in educational participation. Background Problems: Due to the absence of disability-focused surveys, accurate data are only available at the national level, which is insufficient to represent regional conditions. Novelty: With the increasing demand for small area data, this study estimates the percentage of out-of-school children with disabilities at the provincial and district levels simultaneously, using small area estimation (SAE). Research Methods: This study applies SAE using a twofold subarea-level model with a Hierarchical Bayes (HB) beta approach, covering all 34 provinces and 514 districts/cities in Indonesia. This model was developed using data from the National Socio-Economic Survey (Susenas) and the Village Potential Statistics (Podes). Finding/Results: The twofold HB beta SAE model achieves higher precision than direct estimation, as shown by lower relative standard errors (RSE) across regions. Furthermore, spatial patterns indicate that the percentage of out-of-school children with disabilities is mostly between 35.36% and 45.34%, with clusters concentrated in Kalimantan and Papua.