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A unit-level one-inflated beta model for small area prediction of seat-belt use rates

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  • Zirou Zhou
  • Emily Berg

Abstract

We develop a unit-level one-inflated beta model for the purpose of small area estimation. Our specific interest is in estimation of seat-belt use rates for Iowa counties using data from the Iowa Seat-Belt Use Survey. As a result of small county sample sizes, small area estimation methods are needed. We propose frequentist and Bayesian implementations of a unit-level one-inflated beta model. We compare the Bayesian and frequentist predictors to simpler alternatives through simulation. We apply the proposed Bayesian and frequentist procedures to data from the Iowa Seat-Belt Use Survey.

Suggested Citation

  • Zirou Zhou & Emily Berg, 2025. "A unit-level one-inflated beta model for small area prediction of seat-belt use rates," Journal of Applied Statistics, Taylor & Francis Journals, vol. 52(7), pages 1381-1404, May.
    • Handle: RePEc:taf:japsta:v:52:y:2025:i:7:p:1381-1404
    DOI: 10.1080/02664763.2024.2426016
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