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PEMODELAN JUMLAH KEMATIAN BAYI AKIBAT TETANUS NEONATORUM DENGAN METODE GEOGRAPHICALLY WEIGHTED ZERO-INFLATED POISSON REGRESSION : MODELING THE NUMBER OF INFANT DEATH DUE TO NEONATORUM TETANUS USING GEOGRAPHICALLY WEIGHTED ZERO-INFLATED POISSON REGRESSION METHOD Astri Maulini; Nurfitri Imro'ah; Siti Aprizkiyandari
Fraction: Jurnal Teori dan Terapan Matematika Vol. 3 No. 2 (2023): Fraction: Jurnal Teori dan Terapan Matematika
Publisher : Jurusan Matematika, Fakultas Teknik, Universitas Bangka Belitung

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.33019/fraction.v3i2.43

Abstract

Tetanus Neonatorum (TN) is an infection in infants caused by the Clostridium tetani bacteria. In 2020, the Case Fatality Rate (CFR) due to TN in Indonesia increased to 50% compared to 2019, which was 11.76%. So it is necessary to study the number of infant deaths due to TN. This study discusses the modeling and factors that influence TN disease in Indonesia using the Geographically-Weighted Zero-Inflated Poisson Regression (GWZIPR) method. The GWZIPR model is divided into two based on the state: the ln model for the Poisson state and the logit model for the zero states. The data in this study are the number of infant deaths due to TN, the percentage of pregnant women carrying out Td2+ immunization, the percentage of pregnant women delivering at health facilities, and the percentage of puskesmas carrying out P4K in 34 provinces in Indonesia in 2020. The results of this study are that there is an excess zero of 58.82% and spatial heterogeneity occurs so that each region has a different model based on significant variables. The factors that influence the number of infant deaths due to TN are divided into four groups based on significant variables in the ln and logit models.
Negative Binomial Regression in Overcoming Overdispersion Poverty Data in Kalimantan Alvin Octavianus Halim; Nurfitri Imro'ah
Jurnal Forum Analisis Statistik Vol. 4 No. 1 (2024): Jurnal Forum Analisis Statistik (FORMASI)
Publisher : Badan Pusat Statistik Provinsi Kalimantan Barat

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.57059/formasi.v4i1.67

Abstract

Poverty is one of the problems that Indonesia still faces. Kalimantan Island has large naturalresources, but experiences inequality in the distribution of wealth in the region. In this study, data onthe number of poor people is used as the dependent variable. The independent variables include thepercentage of households that have access to non-PLN electricity (X1), access to proper drinking water(X2), proper sanitation (X3), non-own toilet facilities (X4), HDI (X5), Open Unemployment Rate (X6),average wages of informal workers and main employment (X7), population density per km2 (X8),monthly per capita food and non-food expenditure (X9), percentage of the population who have healthcomplaints and do not treat because there is no cost (X10), and percentage of the population aged 15years and above who do not have a diploma (X11) in 2023. A Poisson regression analysis is employed.The model accounts for the significance of every independent variable. The model was found to haveoverdispersion, which was resolved through negative binomial regression. The findings of the studyrevealed that the average wage of informal workers and primary employment, population density perkm2, monthly per capita food and non-food expenditure, the percentage of the population who havehealth complaints but do not treat them because there is no cost, and the percentage of the populationaged 15 years and older who do not have a diploma all have a significant impact on the magnitude ofthe number of people living in poverty on the island of Kalimantan.