Modeling of the Number of Toddler Pneumonia Sufferers in DKI Jakarta using Negative Binomial Regression

Acute lung tissue infection caused by various microorganisms, including fungi, viruses, and bacteria, is known as pneumonia. Pneumonia is the highest cause of child death worldwide. In Indonesia, pneumonia remains the leading cause of death among toddler (12-59 months old). By 2021, the national co...

Full description

Bibliographic Details
Main Authors: Lucky Simarda, Dian Lestari, Fevi Novkaniza, Arman Haqqi, Sindy Devila
Format: Article
Language:English
Published: cita konsultindo 2024-01-01
Series:Asian Journal of Management, Entrepreneurship and Social Science
Subjects:
Online Access:https://www.ajmesc.com/index.php/ajmesc/article/view/639
_version_ 1797366343858651136
author Lucky Simarda
Dian Lestari
Fevi Novkaniza
Arman Haqqi
Sindy Devila
author_facet Lucky Simarda
Dian Lestari
Fevi Novkaniza
Arman Haqqi
Sindy Devila
author_sort Lucky Simarda
collection DOAJ
description Acute lung tissue infection caused by various microorganisms, including fungi, viruses, and bacteria, is known as pneumonia. Pneumonia is the highest cause of child death worldwide. In Indonesia, pneumonia remains the leading cause of death among toddler (12-59 months old). By 2021, the national coverage of pneumonias among toddler was 34.8%, and the provinces with the highest coverage for toddler pneumonia were DKI Jakarta (53.0%), Banten (46.0%), and West Papua (45,7%). To find out the pattern of the relationship between the number of young people with pneumonia and the variables that affect it, a custom mathematical model is needed. The number of cases of toddler pneumonia in DKI Jakarta is a data count distributed by Poisson. Poisson regression is perfectly suitable for analyzing data that qualifies equidispersion. However, on the data, the number of toddler pneumonia cases in DKI Jakarta does not meet the equidispersion condition because the variance value is greater than the average or is called overdispersion. One of the methods developed to deal with overdispersion is negative binomial regression. The analysis showed that the average case of toddler pneumonia in Jakarta DKI was 454, Duren Sawit district recorded the highest case of 1329 cases and Sawah Besar district recorded the lowest case as 50 cases. The AIC criteria indicate that the Negative Binomial Regression model is a suitable model for modeling the number of cases of toddler pneumonia in Jakarta DKI with the smallest AIC value of 592,57. The best modeling results using the negative binomial regression method show two significant variables, they are the numbers of toddlers given exclusive breastfeeding and the numbers toddlers that were affected by covid-19.
first_indexed 2024-03-08T17:03:49Z
format Article
id doaj.art-4f439b1440274f5bb4820e5dd60409ca
institution Directory Open Access Journal
issn 2808-7399
language English
last_indexed 2024-03-08T17:03:49Z
publishDate 2024-01-01
publisher cita konsultindo
record_format Article
series Asian Journal of Management, Entrepreneurship and Social Science
spelling doaj.art-4f439b1440274f5bb4820e5dd60409ca2024-01-04T06:32:49Zengcita konsultindoAsian Journal of Management, Entrepreneurship and Social Science2808-73992024-01-01401Modeling of the Number of Toddler Pneumonia Sufferers in DKI Jakarta using Negative Binomial RegressionLucky Simarda0Dian Lestari1Fevi Novkaniza2Arman Haqqi3Sindy Devila4Department of Mathematics , Faculty of Mathematics and Natural Science, Universitas IndonesiaDepartment of Mathematics , Faculty of Mathematics and Natural Science, Universitas IndonesiaDepartment of Mathematics , Faculty of Mathematics and Natural Science, Universitas IndonesiaDepartment of Mathematics , Faculty of Mathematics and Natural Science, Universitas IndonesiaDepartment of Mathematics , Faculty of Mathematics and Natural Science, Universitas Indonesia Acute lung tissue infection caused by various microorganisms, including fungi, viruses, and bacteria, is known as pneumonia. Pneumonia is the highest cause of child death worldwide. In Indonesia, pneumonia remains the leading cause of death among toddler (12-59 months old). By 2021, the national coverage of pneumonias among toddler was 34.8%, and the provinces with the highest coverage for toddler pneumonia were DKI Jakarta (53.0%), Banten (46.0%), and West Papua (45,7%). To find out the pattern of the relationship between the number of young people with pneumonia and the variables that affect it, a custom mathematical model is needed. The number of cases of toddler pneumonia in DKI Jakarta is a data count distributed by Poisson. Poisson regression is perfectly suitable for analyzing data that qualifies equidispersion. However, on the data, the number of toddler pneumonia cases in DKI Jakarta does not meet the equidispersion condition because the variance value is greater than the average or is called overdispersion. One of the methods developed to deal with overdispersion is negative binomial regression. The analysis showed that the average case of toddler pneumonia in Jakarta DKI was 454, Duren Sawit district recorded the highest case of 1329 cases and Sawah Besar district recorded the lowest case as 50 cases. The AIC criteria indicate that the Negative Binomial Regression model is a suitable model for modeling the number of cases of toddler pneumonia in Jakarta DKI with the smallest AIC value of 592,57. The best modeling results using the negative binomial regression method show two significant variables, they are the numbers of toddlers given exclusive breastfeeding and the numbers toddlers that were affected by covid-19. https://www.ajmesc.com/index.php/ajmesc/article/view/639Count Data, Overdispersion, Poisson Regression
spellingShingle Lucky Simarda
Dian Lestari
Fevi Novkaniza
Arman Haqqi
Sindy Devila
Modeling of the Number of Toddler Pneumonia Sufferers in DKI Jakarta using Negative Binomial Regression
Asian Journal of Management, Entrepreneurship and Social Science
Count Data, Overdispersion, Poisson Regression
title Modeling of the Number of Toddler Pneumonia Sufferers in DKI Jakarta using Negative Binomial Regression
title_full Modeling of the Number of Toddler Pneumonia Sufferers in DKI Jakarta using Negative Binomial Regression
title_fullStr Modeling of the Number of Toddler Pneumonia Sufferers in DKI Jakarta using Negative Binomial Regression
title_full_unstemmed Modeling of the Number of Toddler Pneumonia Sufferers in DKI Jakarta using Negative Binomial Regression
title_short Modeling of the Number of Toddler Pneumonia Sufferers in DKI Jakarta using Negative Binomial Regression
title_sort modeling of the number of toddler pneumonia sufferers in dki jakarta using negative binomial regression
topic Count Data, Overdispersion, Poisson Regression
url https://www.ajmesc.com/index.php/ajmesc/article/view/639
work_keys_str_mv AT luckysimarda modelingofthenumberoftoddlerpneumoniasufferersindkijakartausingnegativebinomialregression
AT dianlestari modelingofthenumberoftoddlerpneumoniasufferersindkijakartausingnegativebinomialregression
AT fevinovkaniza modelingofthenumberoftoddlerpneumoniasufferersindkijakartausingnegativebinomialregression
AT armanhaqqi modelingofthenumberoftoddlerpneumoniasufferersindkijakartausingnegativebinomialregression
AT sindydevila modelingofthenumberoftoddlerpneumoniasufferersindkijakartausingnegativebinomialregression