Jurnal Matematika dan Statistika serta Aplikasinya (Jurnal MSA)
Vol 14 No 1 (2026): VOLUME 14 No 1, 2026

Analisis Overdispersi pada Data Kasus Tuberkulosis di Provinsi Lampung Menggunakan Binomial Negatif




Article Info

Publish Date
13 Apr 2026

Abstract

Tuberculosis (TB) remains a major public health problem, particularly in developing countries. The analysis of TB case counts typically involves count data that often exhibit overdispersion, making the selection of an appropriate statistical model essential. This study aims to model the number of TB cases in Lampung Province and to identify factors associated with its incidence using a Generalized Linear Model (GLM) approach. The analytical methods applied include Poisson regression and negative binomial regression. Poisson regression was first employed, followed by testing the equidispersion assumption. The results indicate the presence of overdispersion in the data; therefore, negative binomial regression was adopted as a more suitable alternative. Model selection was based on the Akaike Information Criterion (AIC). The results show that negative binomial regression outperforms Poisson regression in modeling TB case counts. The number of people living in poverty has a statistically significant effect on increasing TB cases, while the number of public hospitals and population density do not exhibit statistically significant effects. These findings suggest that socioeconomic factors play a critical role in the spread of TB in Lampung Province. This study concludes that negative binomial regression is a more appropriate model for analyzing TB case counts with overdispersion. The findings are expected to provide useful insights for policymakers in designing TB control strategies that integrate socioeconomic interventions with improvements in healthcare service quality.

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Journal Info

Abbrev

msa

Publisher

Subject

Decision Sciences, Operations Research & Management Economics, Econometrics & Finance Environmental Science Mathematics Medicine & Pharmacology

Description

The Jurnal MSA (Jurnal Matematika dan Statistika serta Aplikasinya) is a brand new on-line anonymously peer-reviewed journal interested in any aspect related to mathematics and statistics with their application. The Jurnal MSA is ready to receive manuscripts on all aspects concerning any aspect ...