PEMODELAN GENERALIZED POISSON REGRESSION PADA KASUS AIDS DI PROVINSI NUSA TENGGARA TIMUR TAHUN 2023
Keywords:
AIDS, AIC, Generalized Poisson Regression, Overdispersion
Abstract
East Nusa Tenggara (ENT) Province is one of the contributors to the high number of AIDS cases in Indonesia. The purpose of study is to analyse the factors affecting the number of AIDS cases in the Province using the Generalized Poisson Regression method. The variable used is the number AIDS cases as a response variable, and seven predictor variables that might be influence the response variable. The data obtained from the publications of the Central Statistics Agency of ENT Province in 2024. The study shows that the GPR model applying six predictors yields the best model with value of AIC is 419.93. Those variables are the number of health facilities , the number of poor people , the human development index , sexually transmitted infections , the number of adolescents aged 15-24 years who received reproductive health counselling , and the open unemployment rate
References
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Christi Alemsa Perangin Angin, Evy Sulistianingsih, & Naomi Nessyana Debataraja,. (t.t.). PEMODELAN FAKTOR-FAKTOR YANG MEMPENGARUHI JUMLAH KEMATIAN IBU HAMIL DENGAN REGRESI ZERO INFLATED GENERALIZED POISSON (ZIGP). Buletin Ilmiah Matematika, Statistika dan Terapannya(Bimaster), Vol 13, No 4 (2024), 465–474. http://dx.doi.org/10.26418/bbimst.v13i4.77971
Durmuş, B., & Güneri̇, Ö. (2020). An Application of the Generalized Poisson Model for Over Dispersion Data on The Number of Strikes Between 1984 and 2017. Alphanumeric Journal, 8(2), 249–260.
Fahrizal, Y., & Mutaqin, A. K. (2023). Pemodelan Distribusi Poisson-Amarendra pada Data Frekuensi Klaim Asuransi Kendaraan Bermotor di Indonesia. Bandung Conference Series: Statistics, 3(1). https://doi.org/10.29313/bcss.v3i1.7033
Getaneh, F. B., Belete, A. G., Ayres, A., Ayalew, T., Muche, A., & Derseh, L. (2024). A generalized Poisson regression analysis of determinants of early neonatal mortality in Ethiopia using 2019 Ethiopian mini demographic health survey. Scientific Reports, 14(1), 2784. https://doi.org/10.1038/s41598-024-53332-5
Girik Allo, C. B., Otok, B. W., & Purhadi. (2019). Estimation Parameter of Generalized Poisson Regression Model Using Generalized Method of Moments and Its Application. IOP Conference Series: Materials Science and Engineering, 546(5), 052050. https://doi.org/10.1088/1757-899X/546/5/052050
Guntur, R. D., Ginting, K. B., Putra, G. L., & Nenabu, J. Y. (2022). PENGGUNAAN MODEL REGRESI QUASI LIKELIHOOD UNTUK MENGATASI MASALAH OVERDISPERSI PADA REGRESI POISSON. Jurnal Diferensial, 4(2), 91–102. https://doi.org/10.35508/jd.v4i2.8734
Haris, M. A., & Arum, P. R. (2022). NEGATIVE BINOMIAL REGRESSION AND GENERALIZED POISSON REGRESSION MODELS ON THE NUMBER OF TRAFFIC ACCIDENTS IN CENTRAL JAVA. BAREKENG: Jurnal Ilmu Matematika dan Terapan, 16(2), 471–482. https://doi.org/10.30598/barekengvol16iss2pp471-482
Hisyam Ihsan, Wahidah Sanusi, & Risna Ulfadwiyant. (t.t.). Model Generalized Poisson Regression (GPR) dan Penerapannya pada Angka Pengangguran bagi Penduduk Usia Kerja di Provinsi Sulawesi Selatan. Journal of Mathematics, Computations, and Statistics, Vol. 3. No. 2, Oktober 2020, 109–117.
Idele, P., Gillespie, A., Porth, T., Suzuki, C., Mahy, M., Kasedde, S., & Luo, C. (2014). Epidemiology of HIV and AIDS Among Adolescents: Current Status, Inequities, and Data Gaps. JAIDS Journal of Acquired Immune Deficiency Syndromes, 66(Supplement 2), S144–S153. https://doi.org/10.1097/QAI.0000000000000176
Istiqomah Dinnullah, R. N., Fitriani, R., & Marjono, M. (2024). Analyzing Motorcycle Accident Frequency Using Generalized Poisson Distributions. TEM Journal, 234–246. https://doi.org/10.18421/TEM131-24
Lais, M. F., Atti, A., Pangaribuan, R. M., & Guntur, R. D. (2023). Model Generalized Poisson Regression (GPR) Pada Kasus Stunting Di Provinsi Nusa Tenggara Timur. Jurnal Diferensial, 5(2), 68–75. https://doi.org/10.35508/jd.v5i2.11562
Marta Sundari & Pardomuan Robinson Sihombing. (2021). PENANGANAN OVERDISPERSI PADA REGRESI POISSON: (Studi Kasus: Pengaruh Faktor Iklim Terhadap Jumlah Penderita Penyakit Demam Berdarah di Kota Bogor). Jurnal Lebesgue : Jurnal Ilmiah Pendidikan Matematika, Matematika dan Statistika, 2(1), 1–9. https://doi.org/10.46306/lb.v2i1.48
Maxwell, O., Mayowa, B.A., Chinedu, I.U. and Peace, A.E., 2018. Modelling count data; a generalized linear model framework. American Journal of Mathematics and Statistics, 8(6), pp.179-183.
Rahayu, S., Gusriani, N., & Irianingsih, I. (2018). ZERO-INFLATED POISSON REGRESSION TO DETERMINE THE FACTORS THAT INFLUENCE THE MATERNAL MORTALITY RATE IN BANDUNG 2016. Jurnal Ilmiah Matematika dan Pendidikan Matematika, 10(2), 93. https://doi.org/10.20884/1.jmp.2018.10.2.2849
Saputro, D. R. S., Susanti, A., & Pratiwi, N. B. I. (2021). The handling of overdispersion on Poisson regression model with the generalized Poisson regression model. 020026. https://doi.org/10.1063/5.0040330
Surveilans. (t.t.). LAPORAN EKSEKUTIF PERKEMBANGAN HIV/AIDS DAN PENYAKIT INFEKSI MENULAR SEKSUAL (PIMS) TRIWULAN 1 TAHUN 2023 (hlm. 1–24). https://search.app.goo.gl/TjxkUho
Wang, W., & Famoye, F. (1997). Modeling household fertility decisions with generalized Poisson regression. Journal of Population Economics, 10(3), 273–283. https://doi.org/10.1007/s001480050043
Yasmirullah, S. D. P., Otok, B. W., Purnomo, J. D. T., & Prastyo, D. D. (2023). Comparison of multivariate adaptive Poisson Regression spline and multivariate adaptive generalized Poisson Regression spline. 020005. https://doi.org/10.1063/5.0119385
Published
2024-09-30
How to Cite
GUNTUR, R., & Dappa, J. S. B. (2024). PEMODELAN GENERALIZED POISSON REGRESSION PADA KASUS AIDS DI PROVINSI NUSA TENGGARA TIMUR TAHUN 2023. VARIANSI: Journal of Statistics and Its Application on Teaching and Research, 6(02), 95-104. https://doi.org/10.35580/variansiunm168
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