Science & Technology Statistics & Probability Mathematics Physical Sciences
Built environment features (BEFs) refer to aspects of the human con-structed environment which may, in turn, support or restrict health related behaviors and thus impact health. In this paper we are interested in under-standing whether the spatial distribution and quantity of fast-food restaurants (FFRs) influence the risk of obesity in schoolchildren. To achieve this goal, we propose a two-stage Bayesian hierarchical modeling framework. In the first stage, examining the position of FFRs relative to that of some reference locations-in our case, schools-we model the distances of FFRs from these reference locations as realizations of inhomogenous Poisson processes (IPP). With the goal of identifying representative spatial patterns of exposure to FFRs, we model the intensity functions of the IPPs using a Bayesian nonpara-metric model, specifying a nested Dirichlet process prior. The second-stage model relates exposure patterns to obesity. We offer two different approaches to carry out the second stage; they differ in how they accommodate uncer-tainty in the exposure patterns. In the first approach, the odds of obesity at the school level is regressed on cluster indicators, each representing a ma-jor pattern of exposure to FFRs. In the second, we employ Bayesian kernel machine regression to relate the odds of obesity to the multivariate vector re-porting the degree of similarity of a given school to all other schools. Our analysis on the influence of patterns of FFR occurrence on obesity among Californian schoolchildren has indicated that, in 2010, among schools that are consistently assigned to a cluster, there is a lower odds of obesity among ninth graders who attend schools with most distant FFR occurrences in a one -mile radius, as compared to others.
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Details
Title
How Close and How Much? Linking Health Outcomes to Built Environment Spatial Distributions
Creators
Adam T. Peterson - University of Michigan
Veronica J. Berrocal - University of California, Irvine
Emma V. Sanchez-Vaznaugh - San Francisco State University
Brisa N. Sanchez - Drexel University, Urban Health Collaborative
Publication Details
The annals of applied statistics, v 17(2), pp 1641-1662
Publisher
INST MATHEMATICAL STATISTICS-IMS
Number of pages
22
Grant note
R01-HL131610; R01-HL136718 / NIH; United States Department of Health & Human Services; National Institutes of Health (NIH) - USA
Resource Type
Journal article
Language
English
Academic Unit
Epidemiology and Biostatistics
Web of Science ID
WOS:000985804300032
Scopus ID
2-s2.0-85159844074
Other Identifier
991021860718504721
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