Citation
Kunihama, Tsuyoshi; Herring, Amy H.; Halpern, Carolyn Tucker; & Dunson, David B. (2016). Nonparametric Bayes Modeling with Sample Survey Weights. Statistics & Probability Letters, 113, 41-48. PMCID: PMC6699172Abstract
In population studies, it is standard to sample data via designs in which the population is divided into strata, with the different strata assigned different probabilities of inclusion. Although there have been some proposals for including sample survey weights into Bayesian analyses, existing methods require complex models or ignore the stratified design underlying the survey weights. We propose a simple approach based on modeling the distribution of the selected sample as a mixture, with the mixture weights appropriately adjusted, while accounting for uncertainty in the adjustment. We focus for simplicity on Dirichlet process mixtures but the proposed approach can be applied more broadly. We sketch a simple Markov chain Monte Carlo algorithm for computation, and assess the approach via simulations and an application. (C) 2016 Elsevier B.V. All rights reserved.URL
http://dx.doi.org/10.1016/j.spl.2016.02.009Reference Type
Journal ArticleYear Published
2016Journal Title
Statistics & Probability LettersAuthor(s)
Kunihama, TsuyoshiHerring, Amy H.
Halpern, Carolyn Tucker
Dunson, David B.