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Theoretical Advancements in Small Area Modeling: A Case Study with the CHILD Cohort

Charanpal Singh and Mahmoud Torabi ()
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Charanpal Singh: Department of Community Health Sciences, University of Manitoba, Winnipeg, MB R3E 0W3, Canada
Mahmoud Torabi: Department of Community Health Sciences, University of Manitoba, Winnipeg, MB R3E 0W3, Canada

Stats, 2025, vol. 8, issue 2, 1-23

Abstract: Developing accurate predictive models in statistical analysis presents significant challenges, especially in domains with limited routine assessments. This study aims to advance the theoretical underpinnings of longitudinal logistic and zero-inflated Poisson (ZIP) models in the context of small area estimation (SAE). Utilizing data from the Canadian Healthy Infant Longitudinal Development (CHILD) study as a case study, we explore the use of individual- and area-level random effects to enhance model precision and reliability. The study evaluates various covariates’ impact (such as mother’s asthma, mother wheezed, mother smoked) on model performance to predict child’s wheezing, emphasizing the role of location within Manitoba. Our main findings contribute to the literature by providing insights into the development and refinement of small area models, emphasizing the significance of advancing theoretical frameworks in statistical modeling.

Keywords: Bayesian; longitudinal data; regression; small area estimation; zero-inflated Poisson (search for similar items in EconPapers)
JEL-codes: C1 C10 C11 C14 C15 C16 (search for similar items in EconPapers)
Date: 2025
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