Zhou Zirou, Berg Emily
Department of Statistics, Iowa State University, Ames, IA, USA.
J Appl Stat. 2024 Nov 28;52(7):1381-1404. doi: 10.1080/02664763.2024.2426016. eCollection 2025.
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.
我们开发了一种单位水平的单膨胀贝塔模型用于小区域估计。我们特别感兴趣的是利用爱荷华州安全带使用调查的数据来估计爱荷华州县的安全带使用率。由于县样本量较小，需要采用小区域估计方法。我们提出了单位水平单膨胀贝塔模型的频率主义和贝叶斯实现方法。我们通过模拟将贝叶斯和频率主义预测器与更简单的替代方法进行比较。我们将所提出的贝叶斯和频率主义程序应用于爱荷华州安全带使用调查的数据。
