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article · Dutse Journal of Pure and Applied Sciences

Modeling over dispersed data: double Poisson regression and zero-inflated Poisson regression with application to neonatal mortality

2025Open accessGombe State University

In plain language

Neonatal mortality remains a critical public health challenge in developing regions, requiring robust statistical frameworks to identify its underlying factors. Standard Poisson regression relies on the assumption of equidispersion, but actual clinical datasets often exhibit overdispersion and excess zeros. To evaluate alternatives, standard Poisson regression, zero-inflated Poisson regression, and double Poisson regression were evaluated on neonatal mortality counts alongside five independent variables representing patient diagnoses. While zero-inflated Poisson regression accounts specifically for an excess of zeros, double Poisson regression provides the flexibility to accommodate both overdispersed and underdispersed data. Assessing model fit through the Akaike Information Criterion and Bayesian Information Criterion revealed that double Poisson regression attained the lowest values, demonstrating superior performance over the alternative approaches when modelling complex neonatal mortality records.

Key takeaways

  • Neonatal mortality counts exhibited overdispersion and excess zeros, violating the core assumptions of standard Poisson regression.
  • Three approaches were compared across five diagnostic variables: standard Poisson, zero-inflated Poisson, and double Poisson regression.
  • Double Poisson regression provided the flexibility to manage both overdispersion and underdispersion.
  • Double Poisson regression achieved the lowest AIC and BIC values, demonstrating the best overall model fit.

Why it matters

Accurately identifying the clinical determinants of neonatal mortality requires appropriate statistical techniques. Conventional counting models often break down when medical records contain disproportionate numbers of zeros and uneven variation. Establishing that double Poisson regression provides superior accuracy allows health researchers and demographers to select more reliable models when analysing high-stakes infant survival data.

Commercialisation angle

The methodology could be integrated into epidemiological software, health informatics platforms, or public health planning tools to analyse mortality risks tied to clinical diagnoses. Primary end-users include health data analysts, biostatisticians, and public health agencies. The research sits at an early, analytical stage, establishing mathematical model validity rather than delivering a commercialised software product or clinical workflow application.

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Abstract

Neonatal mortality remains a major public health issue, particularly in developing countries, requiring robust statistical approaches to identify its determinants. This study compares Poisson Regression (PR), Zero-Inflated Poisson Regression (ZIP), and Double Poisson Regression (DPR) in modeling neonatal mortality data. The dependent variable measures neonatal deaths, while five independent variables capture patient diagnoses.Although PR assumes equidispersion, diagnostics revealed overdispersion and excess zeros, necessitating ZIP and DPR. ZIP accounts for zero inflation, while DPR flexibly handles both overdispersion and underdispersion. Model fit was evaluated using AIC and BIC, with DPR outperforming the other models by achieving the lowest values, indicating superior performance.

Research topics

  • Global Maternal and Child Health
  • Insurance, Mortality, Demography, Risk Management
  • Statistical Methods and Bayesian Inference

Read the original research

This page summarises published work. The authoritative version sits with the publisher.

DOI: 10.4314/dujopas.v11i3d.26

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