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December 2013 Exploiting multiple outcomes in Bayesian principal stratification analysis with application to the evaluation of a job training program
Alessandra Mattei, Fan Li, Fabrizia Mealli
Ann. Appl. Stat. 7(4): 2336-2360 (December 2013). DOI: 10.1214/13-AOAS674


The causal effect of a randomized job training program, the JOBS II study, on trainees’ depression is evaluated. Principal stratification is used to deal with noncompliance to the assigned treatment. Due to the latent nature of the principal strata, strong structural assumptions are often invoked to identify principal causal effects. Alternatively, distributional assumptions may be invoked using a model-based approach. These often lead to weakly identified models with substantial regions of flatness in the posterior distribution of the causal effects. Information on multiple outcomes is routinely collected in practice, but is rarely used to improve inference. This article develops a Bayesian approach to exploit multivariate outcomes to sharpen inferences in weakly identified principal stratification models. We show that inference for the causal effect on depression is significantly improved by using the re-employment status as a secondary outcome in the JOBS II study. Simulation studies are also performed to illustrate the potential gains in the estimation of principal causal effects from jointly modeling more than one outcome. This approach can also be used to assess plausibility of structural assumptions and sensitivity to deviations from these structural assumptions. Two model checking procedures via posterior predictive checks are also discussed.


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Alessandra Mattei. Fan Li. Fabrizia Mealli. "Exploiting multiple outcomes in Bayesian principal stratification analysis with application to the evaluation of a job training program." Ann. Appl. Stat. 7 (4) 2336 - 2360, December 2013.


Published: December 2013
First available in Project Euclid: 23 December 2013

zbMATH: 1283.62054
MathSciNet: MR3161725
Digital Object Identifier: 10.1214/13-AOAS674

Keywords: Bayesian , Causal inference , intermediate variables , job training program , mixture , multivariate outcomes , noncompliance , Principal stratification

Rights: Copyright © 2013 Institute of Mathematical Statistics


Vol.7 • No. 4 • December 2013
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