ArticleBiometrics2017
A framework for Bayesian nonparametric inference for causal effects of mediation.
Article in Biometrics, 2017. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 17 papers.
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Who cites it
17 citing papers in PubMed.
- Bayesian Nonparametric Model for Heterogeneous Treatment Effects With Zero-Inflated Data.Statistics in medicine · 2024Article
- A Bayesian nonparametric approach for causal mediation with a post-treatment confounder.Biometrics · 2024Article
- A BAYESIAN MACHINE LEARNING APPROACH FOR ESTIMATING HETEROGENEOUS SURVIVOR CAUSAL EFFECTS: APPLICATIONS TO A CRITICAL CARE TRIAL.The annals of applied statistics · 2024Article
- Causal mediation and sensitivity analysis for mixed-scale data.Statistical methods in medical research · 2023Article
- A Causal Mediation Model for Longitudinal Mediators and Survival Outcomes with an Application to Animal Behavior.Journal of agricultural, biological, and environmental statistics · 2023Article
- CAUSAL MEDIATION ANALYSIS FOR SPARSE AND IRREGULAR LONGITUDINAL DATA.The annals of applied statistics · 2021Article
- Bayesian semi-parametric G-computation for causal inference in a cohort study with MNAR dropout and death.Journal of the Royal Statistical Society. Series C, Applied statistics · 2021Article
- A practical introduction to Bayesian estimation of causal effects: Parametric and nonparametric approaches.Statistics in medicine · 2021Article
- Bayesian shrinkage estimation of high dimensional causal mediation effects in omics studies.Biometrics · 2020Article
- A Semiparametric Bayesian Approach to Dropout in Longitudinal Studies with Auxiliary Covariates.Journal of computational and graphical statistics : a joint publication of American Statistical Association, Institute of Mathematical Statistics, Interface Foundation of North America · 2020Article
- An Information-Based Approach for Mediation Analysis on High-Dimensional Metagenomic Data.Frontiers in genetics · 2020Article
- BAYESIAN METHODS FOR MULTIPLE MEDIATORS: RELATING PRINCIPAL STRATIFICATION AND CAUSAL MEDIATION IN THE ANALYSIS OF POWER PLANT EMISSION CONTROLS.The annals of applied statistics · 2019Article
- Design of the Rural LEAP randomized trial: An evaluation of extended-care programs for weight management delivered via group or individual telephone counseling.Contemporary clinical trials · 2019Article
- Discussion of PENCOMP.Journal of the American Statistical Association · 2019Article
- Bayesian nonparametric generative models for causal inference with missing at random covariates.Biometrics · 2018Article
- Bayesian Approaches for Missing Not at Random Outcome Data: The Role of Identifying Restrictions.Statistical science : a review journal of the Institute of Mathematical Statistics · 2018Article
- A Bayesian semiparametric latent variable approach to causal mediation.Statistics in medicine · 2018Article
Corrections and comments
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Authors and funding
4 authors.
Funding
Abstract
We propose a Bayesian non-parametric (BNP) framework for estimating causal effects of mediation, the natural direct, and indirect, effects. The strategy is to do this in two parts. Part 1 is a flexible model (using BNP) for the observed data distribution. Part 2 is a set of uncheckable assumptions with sensitivity parameters that in conjunction with Part 1 allows identification and estimation of the causal parameters and allows for uncertainty about these assumptions via priors on the sensitivity parameters. For Part 1, we specify a Dirichlet process mixture of multivariate normals as a prior on the joint distribution of the outcome, mediator, and covariates. This approach allows us to obtain a (simple) closed form of each marginal distribution. For Part 2, we consider two sets of assumptions: (a) the standard sequential ignorability (Imai et al., 2010) and (b) weakened set of the conditional independence type assumptions introduced in Daniels et al. (2012) and propose sensitivity analyses for both. We use this approach to assess mediation in a physical activity promotion trial.
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