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Nonparametric Bayesian Functional Meta-Regression: Applications in Environmental Epidemiology

Authors
Yu, JaeeunPark, JinsuChoi, TaeryonHashizume, MasahiroKim, YoonheeHonda, YasushiChung, Yeonseung
Issue Date
3월-2021
Publisher
SPRINGER
Keywords
Dirichlet process mixture; Functional predictor; Local Dirichlet process; Meta-regression; Spatial dependency
Citation
JOURNAL OF AGRICULTURAL BIOLOGICAL AND ENVIRONMENTAL STATISTICS, v.26, no.1, pp.45 - 70
Indexed
SCIE
SCOPUS
Journal Title
JOURNAL OF AGRICULTURAL BIOLOGICAL AND ENVIRONMENTAL STATISTICS
Volume
26
Number
1
Start Page
45
End Page
70
URI
https://scholar.korea.ac.kr/handle/2021.sw.korea/49501
DOI
10.1007/s13253-020-00409-z
ISSN
1085-7117
Abstract
Two-stage meta-analysis has been popularly used in epidemiological studies to investigate an association between environmental exposure and health response by analyzing time-series data collected from multiple locations. The first stage estimates the location-specific association, while the second stage pools the associations across locations. The second stage often incorporates location-specific predictors (i.e., meta-predictors) to explain the between-location heterogeneity and is called meta-regression. The existing second-stage meta-regression relies on parametric assumptions and does not accommodate functional meta-predictors and spatial dependency. Motivated by these limitations, our research proposes a nonparametric Bayesian meta-regression which relaxes parametric assumptions and incorporates functional meta-predictors and spatial dependency. The proposed meta-regression is formulated by jointly modeling the association parameters and the functional meta-predictors using Dirichlet process (DP) or local DP mixtures. In doing so, the functional meta-predictors are represented parsimoniously by the coefficients of the orthonormal basis. The proposed models were applied to (1) a temperature-mortality association study and (2) suicide seasonality study, and validated through a simulation study. Supplementary materials accompanying this paper appear online.
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Choi, Tae ryon
정경대학 (통계학과)
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