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Incorporating small-area estimation into mediation analyses with areal datasets
Journal article   Peer reviewed

Incorporating small-area estimation into mediation analyses with areal datasets

Melissa J. Smith, Emily K. Roberts, Mary E. Charlton and Jacob J. Oleson
Spatial and spatio-temporal epidemiology, Vol.54, 100735
08/2025
DOI: 10.1016/j.sste.2025.100735
PMCID: PMC12513566
PMID: 40935499

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Abstract

Various methods have been employed in the medical literature to conduct mediation analyses with areal datasets. These analyses are typically performed to understand why age-adjusted incidence or mortality rates vary by county or ZIP code-level characteristics. Two primary approaches are commonly used: the “Calculation before mediation” (C-BM) approach, where age-adjusted rates are calculated from the raw data for each areal unit and used as the outcome in the mediation analysis, and the “Small-area estimation before mediation” (SAE-BM) approach, which uses pre-existing small-area estimates as the outcome in the mediation analysis. However, these approaches have significant limitations that can impact the inferences around mediation effects and the overall conclusions of a mediation analysis. In this paper, we propose a new method, the “Small-area estimation within mediation” (SAE-WM) approach, for conducting mediation analyses with areal datasets. This method integrates Bayesian small-area estimation techniques into the mediation analysis outcome model, allowing for precise estimation of mediation effects with areal datasets. We conduct a simulation study to demonstrate the advantages of the SAE-WM method for estimating mediation effects with areal datasets, while highlighting the pitfalls and potential problems with the C-BM and SAE-BM methods. We also illustrate an application of the SAE-WM method to assess whether healthcare access mediates the relationship between ZIP code-level socioeconomic environment and age-adjusted colorectal cancer incidence rates in Iowa.
Small-area estimation Mediation Age-adjusted rate Areal data Cancer

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