2019
DOI: 10.1002/sim.8121
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Bayesian estimation of the average treatment effect on the treated using inverse weighting

Abstract: We develop a Bayesian approach to estimate the average treatment effect on the treated in the presence of confounding. The approach builds on developments proposed by Saarela et al in the context of marginal structural models, using importance sampling weights to adjust for confounding and estimate a causal effect. The Bayesian bootstrap is adopted to approximate posterior distributions of interest and avoid the issue of feedback that arises in Bayesian causal estimation relying on a joint likelihood. We prese… Show more

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Cited by 5 publications
(3 citation statements)
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References 49 publications
(72 reference statements)
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“…The consideration of this approach is mostly based on practical utility, rather than relying on theoretical grounds. An alternative approach is to consider an approximate Bayesian inference through Bayesian bootstrap, as in Saarela et al (2015) and Capistrano et al (2019) for analyzing non-clustered observational data. However, while that approach is operationally feasible, it is unclear how to consider bias-corrected sandwich variance estimation under Bayesian bootstrap.…”
Section: Discussionmentioning
confidence: 99%
“…The consideration of this approach is mostly based on practical utility, rather than relying on theoretical grounds. An alternative approach is to consider an approximate Bayesian inference through Bayesian bootstrap, as in Saarela et al (2015) and Capistrano et al (2019) for analyzing non-clustered observational data. However, while that approach is operationally feasible, it is unclear how to consider bias-corrected sandwich variance estimation under Bayesian bootstrap.…”
Section: Discussionmentioning
confidence: 99%
“…Knowing the characteristics and cultivation requirements for the students in the teaching class, and combining them with the current hot interests and hobbies of students, to determine the self-perceived points of interest in application consciousness of mathematics. For instance, during the COVID-19 pandemic prevention and control period [9][10], teachers can provide the Bayesian inverse probability formula [11] from the probability theory course, and analyze the necessity of universal nucleic acid testing; To address the large amounts of parcels at the beginning of semester, the matrix theory can be utilized to allocate parcel pickup points reasonably. Broadening the condition formed by application consciousness of mathematics, and utilizing the concrete mathematical knowledge to solve problems, is beneficial to build up the ability of mathematical application.…”
Section: Mathematical Curriculum Literature Review Methodsmentioning
confidence: 99%
“…The jModel Test software v 2.0.1 was performed to choose the best-tted model based on the Akaike information criterion (AIC) [62]. For model comparison, the Bayes factor could estimate each model test and yield the best results with marginal likelihood estimated on the basis of Newton & Raftery method [63]. As implemented in BEAST package, the best-tted model was GTR (general time reversible) + Γ4 (gamma distribute rate variation) + I (proportion of invariant sites) + Lognormal relaxed uncorrelated clock and coalescent constant population models.…”
Section: Evolution Substitution Ratesmentioning
confidence: 99%