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Vol 17 No 4 (2023): BAREKENG: Journal of Mathematics and Its Applications
Articles

ZERO-INFLATED NEGATIVE BINOMIAL MODELING IN INFANT DEATH CASE DUE TO PNEUMONIA IN EAST JAVA PROVINCE

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  • Cindy Cahyaning Astuti,
  • Agnes Ona Bliti Puka,
  • Akbar Wiguna
Cindy Cahyaning Astuti
Information Technology of Education, Faculty of Psychology and Educational Sciences, University of Muhammadiyah Sidoarjo, Indonesia
Agnes Ona Bliti Puka
Mathematics Education Department, Faculty of Teacher Training and Education, Larantuka Institute of Teacher Training and Technology, Indonesia
Akbar Wiguna
Information Technology of Education, Faculty of Psychology and Educational Sciences, University of Muhammadiyah Sidoarjo, Indonesia
DOI: https://doi.org/10.30598/barekengvol17iss4pp1835-1844
Published December 18, 2023
Keywords
  • Pneumonia,
  • ZINB,
  • East Java,
  • SDGs
How to Cite
[1]
C. Astuti, A. Puka, and A. Wiguna, “ZERO-INFLATED NEGATIVE BINOMIAL MODELING IN INFANT DEATH CASE DUE TO PNEUMONIA IN EAST JAVA PROVINCE”, BAREKENG: J. Math. & App., vol. 17, no. 4, pp. 1835-1844, Dec. 2023.

Copyright (c) 2023 Cindy Cahyaning Astuti, Agnes Ona Bliti Puka, Akbar Wiguna

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This work is licensed under a Creative Commons Attribution-ShareAlike 4.0 International License.

Abstract

Pneumonia is an acute infectious disease of the respiratory tract and an infection caused by a virus, bacteria or fungus that attacks the lung tissue. Several cases of pneumonia have resulted in deaths that occurred in toddlers aged 12-59 months. Based on official health in profile data, East Java's health in 2021 has a zero number of deaths under five aged 12-59 months due to pneumonia. Modeling data with many response variables is zero and there is overdispersion can be done using Zero Inflated Negative Binomial (ZINB) regression. This study aims to model the number of infant deaths aged 12-59 months due to pneumonia in East Java Province based on seven factors that are considered to influence the number of deaths in infants due to pneumonia. From this model, it can be seen that the factors that significantly influence the death of infants aged 12-59 months due to pneumonia in East Java Province using Zero Inflated Negative Binomial (ZINB) regression. The results of testing the parameters of the ZINB regression model show that the predictor variables that have a partial significant effect on the negative binomial model in East Java are the percentage of infants who received complete basic immunization, the percentage of coverage of under-five health services, the percentage of under-five children with malnutrition, the percentage of LBW (low birth weight babies). Selection of the best model is obtained by using the Bayesian Information Criterion (BIC) of 101,587.

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