COMPUTATIONALLY EFFICIENT BAYESIAN UNIT-LEVEL MODELS FOR NON-GAUSSIAN DATA UNDER INFORMATIVE SAMPLING WITH APPLICATION TO ESTIMATION OF HEALTH INSURANCE COVERAGE

• 成果类型: Article
• 署名作者: Parker, Paul A.; Holan, Scott H.; Janicki, Ryan
• 署名单位: University of Missouri System; University of Missouri Columbia
• 刊物名称: ANNALS OF APPLIED STATISTICS
• ISSN/ISSBN: 1932-6157
• DOI: 10.1214/21-AOAS1524
• 发表日期: 2022
• 页码: 887-904
• 关键词: small-area estimation; inference

摘要

Statistical estimates from survey samples have traditionally been obtained via design-based estimators. In many cases these estimators tend to work well for quantities, such as population totals or means, but can fall short as sample sizes become small. In today's information age, there is a strong demand for more granular estimates. To meet this demand, using a Bayesian pseudolikelihood, we propose a computationally efficient unit-level modeling approach for non-Gaussian data collected under informative sampling designs. Specifically, we focus on binary and multinomial data. Our approach is both multivariate and multiscale, incorporating spatial dependence at the area level. We illustrate our approach through an empirical simulation study and through a motivating application to health insurance estimates, using the American Community Survey.