Geographically Weighted Negative Binomial Regression (GWNBR) Modeling In Infant Mortality Rate Cases In South Sulawesi
DOI:
https://doi.org/10.36456/jstat.vol18.no1.a10093Keywords:
GWNBR, Adaptive Tricube Kernel, Infant MortalityAbstract
Geographically Weighted Negative Binomial Regression (GWNBR) is a method used to model count data that exhibit overdispersion and spatial heterogeneity. South Sulawesi is one of the provinces experiencing an increase in infant mortality cases. Therefore, this study aims to obtain a better model for mapping the factors that influence infant mortality cases in South Sulawesi Province. The method used in this study is GWNBR with an Adaptive Tricube Kernel as the weighting function. The results show that the GWNBR model with Adaptive Tricube Kernel weighting produces the smallest AIC value, which is 223.4447, making it more effective for modeling infant mortality cases in South Sulawesi Province. The variables significantly affecting infant mortality cases include X1 (Percentage of Exclusive Breastfeeding), X2 (Percentage of Early Initiation of Breastfeeding), X3 (Complete Baby Visit Coverage), X4 (Percentage of Vitamin A Supplementation), X5 (Number of Community Health Centers), X6 (Percentage of Low Birth Weight Babies), X7 (Delivery Coverage in Health Service Facilities), and X8 (Iron Tablet Supplementation to Pregnant Women).
References
[1] A. C. Cameron and P. K. Trivedi, Regression Analysis Of Count Data, First. Cambridge: Cambridge University Press, 1998.
[2] G. Anuraga, A. Indrasetianingsih, and M. Athoillah, “Pelatihan pengujian hipotesis statistika dasar dengan software r,” BUDIMAS: Jurnal Pengabdian Masyarakat, vol. 3, no. 2, pp. 327–334, 2021.
[3] R. F. Ramadhan and R. Kurniawan, “Pemodelan Data Kematian Bayi Dengan Geographically Weighted Negative Binomial Regression,” Media Statistika, vol. 9, no. 2, p. 95, 2017, doi: 10.14710/medstat.9.2.95-106.
[4] M. F. Itsnaini, Sugiman, and Sunarmi, “Estimasi Parameter Model Regresi Spasial Dengan Metode Geographically Weighted Poisson Regression,” UNNES Journal of Mathematics, vol. 8, no. 2, pp. 21–31, 2019.
[5] N. Lutfiani and S. Mariani, “Pemodelan Geographically Weighted Regression (GWR) dengan Fungsi Pembobot Kernel Gaussian dan Bi-square,” UNNES Journal of Mathematics, vol. 5, no. 1, pp. 82–91, 2019.
[6] T. Susanto and E. Mustikawati P. H, “Pemodelan Geographically Weighted Negative Binomial Regression (GWNBR) untuk Kasus Kematian Bayi Di Provinsi Jawa Tengah,” 2020.
[7] O. Schanberger and C. A. Gotway, “Handbook of Applied Economic Statistics,” in Chapman & Hall/CRC, B. P. Carlin, C. Chatfield, M. Tenner, and J. Zidek, Eds., New York: Chapman & Hall/CRC, 2005, ch. Statistic, p. 26.
[8] The World Bank, “Mortality rate, infant (per 1,000 live births).” Accessed: Mar. 31, 2024. [Online]. Available: https://data.worldbank.org/indicator/SP.DYN.IMRT.IN
[9] I. Aliska, A. S. E. Putri, and M. Ramadani, “Determinan Kematian Bayi Ditinjau dari Perilaku Kesehatan Ibu : Tinjauan Literatur,” Jurnal Epidemiologi Kesehatan Indonesia, vol. 7, no. 1, p. 25, 2023, doi: 10.7454/epidkes.v7i1.6689.
[10] P. S. S. Dinas Kesehatan, Laporan Kinerja Tahun 2022. Sulawesi Selatan, 2022.
[11] E. Pratiwi, H. Pramoedyo, S. Astutik, and F. Fauwziyah, “Modeling Geographically Weighted Negative Binomial Regression (GWNBR) on Stunting Incidence in Malang Regency,” Jurnal Matematika, Statistika dan Komputasi, vol. 19, no. 1, pp. 163–171, 2022, doi: 10.20956/j.v19i1.21757.
[12] N. Delvia, M. Mustafid, and H. Yasin, “Geographically Weighted Negative Binomial Regression Untuk Menangani Overdispersi Pada Jumlah Penduduk Miskin,” Jurnal Gaussian, vol. 10, no. 4, pp. 532–543, 2021, doi: 10.14710/j.gauss.v10i4.33106.
[13] Z. Rais and A. S. Haris, “GEOGRAPHICALLY WEIGHTED NEGATIVE BINOMIAL REGRESSION ( GWNBR ) IN MODELING THE RISK FACTORS OF PNEUMONIA DISEASE AMONG TODDLERS IN THE CENTRAL,” vol. 5, no. 3, pp. 118–131, 2023, doi: 10.35580/variansiunm151.
[14] R. R. Hocking, Methods and Application of Linear Models. New York: John Wiley & Sons, Ltd, 1996.
[15] J. L. Fleiss, B. Levin, and C. P. Myunghee, Statistical Methods for Rates and Proportions, Third. New York: Wiley, 2003.
[16] P. McCullagh and J. Nelder, Generalized Linear Models, 2nd ed. London: Chapman & Hall, 1989. doi: 10.1007/978-1-4899-3242-6.
[17] A. Ricardo and T. Carvalho, Geographically Weighted Negative Binomial Regression – Incorporating Overdispersion. New York: Springer Science, 2013.
[18] L. Anselin and A. K. Bera, “Spatial Dependence in Linear Regression Models with an Introduction to Spatial Econometrics,” in Handbook of Applied Economic Statistics, A. Ullah, Ed., CRC Press, 1998, pp. 237–290.
[19] C. Chasco, I. Garcia, and J. Vicens, “Modeling spatial variations in household disposable income with Geographically Weighted Regression,” Munich Personal RePEc Archive, 1682, 2007.
[20] S. Kartika and G. Kholijah, “Penggunaan Metode Geograhically Weighted Regression ( GWR ) Untuk Mengestimasi Faktor Dominan yang Mempengaruhi Penduduk Miskin di Provinsi Jambi,” Journal of Matematics: Theory and Applications, vol. 2, no. 2, pp. 37–45, 2020.
[21] A. S. Fotheringham, C. Brunsdon, and M. Charlton, Geographically Weighted Regression. England: John Wiley & Sons Ltd., 2002.
[22] Husnah, Sakdiah, and H. Andayani, “Dampak Inisiasi Menyusui Dini Terhadap Penurunan Angka Kematian Bayi,” Jurnal Kedokteran Nanggroe Medika, vol. 1, no. 938, pp. 6–37, 2024.
[23] I. M. Ismail, T. W. Utami, and M. Al Haris, “Pemodelan Jumlah Kematian Bayi di Provinsi Jawa Barat dengan Pendekatan Geographically Weighted Negative Binomial Regression ( GWNBR ),” Program Studi Statistik, Fakultas Matematika dan Ilmu Pengetahuan Alam, Universitas Muhammadiyah Semarang, 2019.
[24] A. H. Cabral, M. Y. Udus, S. F. Jamlean, W. Pramesti, and G. Anuraga, “Pemodelan Faktor yang Mempengaruhi Angka Kematian Bayi di Jawa Timur dengan Menggunakan Geographically Weighted Regression,” Snhrp: Seminar Nasional Hasil Riset dan Pengabdian, no. 2019: Seminar Nasional Hasil Riset dan Pengabdian Ke-II (SNHRP-II), pp. 37–49, 2019.
[25] S. Maryam and E. A. Muslimah, “Analisis Riwayat Tablet Tambah Darah pada Ibu Hamil dengan Anemia di Indonesia (Data RISKESDAS 2018),” Jurnal Ilmiah Ilmu Kebidanan, vol. Vol. 10, pp. 1–8, 2018.







