A more interpretable regression model for count data with excess of zeros

Count data are common in medical research. When these data have more zeros than expected by the most used count distributions, it is common to employ a zero-inflated regression model. However, the interpretability of these models is much lower than the most used count regression models. In this work, we introduce a more interpretable regression model for count data with excess of zeros based on a reparameterization of the zero-inflated Poisson distribution. We discuss inferential and diagnostic tools and perform a Monte Carlo simulation study to evaluate the performance of the maximum likelihood estimator. Finally, the usefulness of the proposed regression model is illustrated through an application on children mortality.

Publication Details

Journal
ArXiv.org
Published
2025-09-29
Primary Topic
Canadian Policy and Governance
Type
article
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article

A more interpretable regression model for count data with excess of zeros

ArXiv.org
Canadian Policy and Governance
article

A more interpretable regression model for count data with excess of zeros

article en

Abstract

Count data are common in medical research. When these data have more zeros than expected by the most used count distributions, it is common to employ a zero-inflated regression model. However, the interpretability of these models is much lower than the most used count regression models. In this work, we introduce a more interpretable regression model for count data with excess of zeros based on a reparameterization of the zero-inflated Poisson distribution. We discuss inferential and diagnostic tools and perform a Monte Carlo simulation study to evaluate the performance of the maximum likelihood estimator. Finally, the usefulness of the proposed regression model is illustrated through an application on children mortality.

ArXiv.org
Good health and well-being
Openalex Percentile: Top 39%
Canadian Policy and Governance
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A more interpretable regression model for count data with excess of zeros · ArXiv.org (2025) | TGRS Research Map | TGRS