Bayesian Nonparametric Cost-Effectiveness Analyses: Causal Estimation and Adaptive Subgroup Discovery
Cost-effectiveness analyses (CEAs) are at the center of health economic decision making. While these analyses help policy analysts and economists determine coverage, inform policy, and guide resource allocation, they are statistically challenging for several reasons. Cost and effectiveness are correlated and follow complex joint distributions which are difficult to capture parametrically. Effectiveness (often measured as increased survival time) and accumulated cost tends to be right-censored in many applications. Moreover, CEAs are often conducted using observational data with non-random treatment assignment. Policy-relevant causal estimation therefore requires robust confounding control. Finally, current CEA methods do not address cost-effectiveness heterogeneity in a principled way - often presenting population-averaged estimates even though significant effect heterogeneity may exist. Motivated by these challenges, we develop a nonparametric Bayesian model for joint cost-survival distributions in the presence of censoring. Our approach utilizes a joint Enriched Dirichlet Process prior on the covariate effects of cost and survival time, while using a Gamma Process prior on the baseline survival time hazard. Causal CEA estimands, with policy-relevant interpretations, are identified and estimated via a Bayesian nonparametric g-computation procedure. Finally, we outline how the induced clustering of the Enriched Dirichlet Process can be used to adaptively detect presence of subgroups with different cost-effectiveness profiles. We outline an MCMC procedure for full posterior inference and evaluate frequentist properties via simulations. We use our model to assess the cost-efficacy of chemotherapy versus radiation adjuvant therapy for treating endometrial cancer in the SEER-Medicare database.
Code (0)
등록된 구현이 없습니다.
Tasks
ClusteringDecision MakingSubgroup DiscoverySimilar Papers 제목 키워드 기반
A Practical Introduction to Bayesian Estimation of Causal Effects: Parametric and Nonparametric Approaches
Substantial advances in Bayesian methods for causal inference have been developed in recent years. We provide an introduction to Bayesian inference for causal effects for practicing statisticians who have some familiarit…
Bayesian InferenceCausal InferenceAdaptive Nonparametric Perturbations of Parametric Bayesian Models
Parametric Bayesian modeling offers a powerful and flexible toolbox for scientific data analysis. Yet the model, however detailed, may still be wrong, and this can make inferences untrustworthy. In this paper we study no…
Bayesian InferenceCausal InferenceA Bayesian nonparametric test for conditional independence
This article introduces a Bayesian nonparametric method for quantifying the relative evidence in a dataset in favour of the dependence or independence of two variables conditional on a third. The approach uses Polya tree…
Causal DiscoveryBayesian nonparametric discontinuity design
Quasi-experimental research designs, such as regression discontinuity and interrupted time series, allow for causal inference in the absence of a randomized controlled trial, at the cost of additional assumptions. In thi…
Causal InferenceExperimental DesignregressionTime Series+1Bayesian nonparametric estimation of coverage probabilities and distinct counts from sketched data
The estimation of coverage probabilities, and in particular of the missing mass, is a classical statistical problem with applications in numerous scientific fields. In this paper, we study this problem in relation to ran…
Data Compression