Small Area Estimation Using Empirical Bayes Poisson Gamma on Adolescent Fertility Rate in Indonesia
Small Area Estimation Menggunakan Empirical Bayes Poisson Gamma pada Angka Fertilitas Remaja di Indonesia
DOI:
https://doi.org/10.29244/ijsa.v7i2p114-129Keywords:
AFR, empirical bayes, poisson gamma, small area estimationAbstract
High population growth is one of the main population problems facing Indonesia. One of the government's efforts to overcome this is by preventing adolescent fertility. The Adolescence Fertility Rate (AFR) produced by the IDHS is designed until provincial level, whereas the availability of AFR at the district/city level is needed as an indicator of regional development measurement. The purpose of this research is to produce an estimation of AFR at the district/city level in Indonesia and find out which auxiliary variables significantly influence it and evaluate the performance of the model in estimating AFR. The analytical method used is descriptive analysis to explain the characteristics of adolescent fertility and auxiliary variables and also direct estimation and the indirect estimation method using Small Area Estimation Empirical Bayes Poisson Gamma. The results showed that the number of villages, school facilities, health facilities, health workers, telephone lines and operators significantly affected the fertility of adolescents and the results of the SAE EB Poisson Gamma estimation were better than the direct estimation method. Suggestions proposed are the government need to increase attention to districts/cities that have AFR that is higher than the average AFR or National AFR and increase the number of school facilities and the number of health workers.
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References
Badan Kependudukan dan Keluarga Berencana Nasional. (2015). Rencana Strategis Badan Badan Kependudukan dan Keluarga Berencana Nasional Tahun 2015-2019. Diakses melalui https://www.bkkbn.go.id/po-content/uploads/RENSTRA_BKKBN%25202015-2019.pdf pada tanggal 11 September 2019.
Badan Pusat Statistik. (2018a). Potensi Desa 2017. Jakarta: Badan Pusat Statistik
Badan Pusat Statistik. (2018b). Statistik Indonesia Pemuda. Jakarta: Badan Pusat Statistik
Badan Pusat Statistik. (2018c). Survei Demografi dan Kesehatan Indonesia 2017. Jakarta, Indonesia: BPS.
Bain, L. J. and Engelhardt, M. (1992). Introduction to Probability and Mathematical Statistic Second Edition. Duxbuy Press: California.
Dewi, Sofida Kusuma, et al. (2019). Kejadian Kehamilan Remaja Usia 15-19 Tahun di Indonesia Tahun 2017 : Aplikasi Regresi Zero Inflated Poisson [Skripsi]. Jakarta: Sekolah Tinggi Ilmu Statistik.
Falah, Aldian Samarul,et al. (2019). Aplikasi Small Area Estimation Model Binomial Dengan Variabel Penyerta (studi Kasus: Data Kemiskinan Provinsi Jawa Tengah [Skripsi]. Jakarta: Sekolah Tinggi Ilmu Statistik.
Ferra Y. (2015). The Use of Uniformative and Informative Prior Distribution in Bayesian SEM. Global Journal of Pure and Applied Mathematics, 11(5): 3259-3256.
Ghosh M, Rao JNK. (1994). Small area estimation: an appraisal. Statistical Science 9:55-76.
Gideon, Rutaremwa. (2013). Factor Associated with Adolescent Pregnancy and Fertility in Uganda: Analysis Of the 2011 Demographic and Health Survey Data. Jurnal Social Science 2 (1) : 7-13.
Gill J. (2002). Bayesian Methods: A Social and Behavioral Science Approach. Boca Raton: Chapman & Hall.
Gonzales, M.E. (1973). Use and Evaluation of Synthetic Estimates. Proceedings of The American Statistical Association, Social Statistics Section, 33-36.
Good I. (1980). Some history of the hierarchical Bayesian methodology. In Bayesian Statistics: Proceedings of the First International Meeting held in Valencia, 489-504. University of Valencia (Spain).
Hakim, Muhammad Alfiyan, et al. (2019). Penerapan Model Fay-herriot Pada Estimasi Pravalensi Stunting Level Kecamatan Di Nusa Tenggara Barat Tahun 2017 [Skripsi]. Jakarta: Sekolah Tinggi Ilmu Statistik.
Harahap, Ahmad Ridwan, et al. (2019). Penerapan Small Area Estimation dengan Model Zero Inflated Poisson Pada Data Kematian Bayi Di Banten Periode 2013-2017 [Skripsi]. Jakarta: Sekolah Tinggi Ilmu Statistik.
Kismiantini. (2007). Penduga Statistik Area Kecil Berbasis Poisson-Gamma. Tesis. Institut Pertanian Bogor, Bogor.
Marshall RJ. (1991). Mapping disease and mortality rate using empirical Bayes estimators. Applied Statistics 40:283-294.
Peraturan Presiden Nomor 86 Tahun 2007 Badan Pusat Statistik. Jakarta.
Pringle DG. (1995). Disease mapping: A comparative analysis of maximum likelihood and empirical Bayes estimates of disease risk. Diakses melalui http://www.nuim.ie/staff/dpringle/ebe.pdf pada tanggal 5 Februari 2020.
Putri, NCE. (2016). Metode Bayes Empirik untuk Memodelkan Data Cacahan Dengan Peubah Penyerta pada Pendugaan Area Kecil. Jurnal Matematika Unand.
Raharja, M. B. (2014). Fertilitas remaja di Indonesia. Kesmas: National Public Health Journal 9, no. 1 (2014): 6-13.
Rao (2003). Small Area Estimation. United States of Amerika: John Wiley & Sons.
Rao and Molina (2015). Small Area Estimation. Canada: John Wiley & Sons
Rizki Ananda Fauziah and Ika Yuni Wulansari (2020). saeeb: Small Area Estimation for Count Data. R package version 0.1.0. https://CRAN.R-project.org/package=saeeb
Undang-Undang Nomor 16 tahun 1997 Statistik. Jakarta.
Wakefield J. (2006). Disease Mapping and Spatial Regression with Count Data. Biostatistics,8,2:158-183.
Wicaksono, F., & Mahendra, D. (2016). Determinan Fertilitas: Suatu Pendekatan Multilevel. Jurnal Ilmiah WIDYA 1(1).
Wijaya, Siti Haiyinah, et al. (2018). Analisis Determinan Kejadian Fertilitas Remaja di Indonesia Tahun 2017 Menggunakan Model Regresi Logistik Biner [Skripsi]. Jakarta: Sekolah Tinggi Ilmu Statistik.
World Health Organization. (2018). Adolescent Pregnancy: adolescence is a time of opportunity during which range of actions can be taken to set the stage for healthy adulthood: fact sheet (No. WHO/RHR/14.08). World Health Organization.