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The general idea of this article is to develop a Bayesian model with a flexible link function connecting an exponential family treatment response to a linear combination of covariates and a treatment indicator and the interaction between…

Methodology · Statistics 2022-05-05 Hyung Park , Danni Wu , Eva Petkova , Thaddeus Tarpey , R. Todd Ogden

We propose an approach to estimate the effect of multiple simultaneous interventions in the presence of hidden confounders. To overcome the problem of hidden confounding, we consider the setting where we have access to not only the…

Methodology · Statistics 2020-06-17 Sorawit Saengkyongam , Ricardo Silva

During drug development, evidence can emerge to suggest a treatment is more effective in a specific patient subgroup. Whilst early trials may be conducted in biomarker-mixed populations, later trials are more likely to enrol…

Methodology · Statistics 2023-06-07 Lorna Wheaton , Dan Jackson , Sylwia Bujkiewicz

The human microbiome is a complex ecological system, and describing its structure and function under different environmental conditions is important from both basic scientific and medical perspectives. Viewed through a biostatistical lens,…

Applications · Statistics 2017-11-17 Kris Sankaran , Susan P. Holmes

Instrumental variable approaches have gained popularity for estimating causal effects in the presence of unmeasured confounders. However, the availability of instrumental variables in the primary dataset is often challenged due to stringent…

Methodology · Statistics 2026-03-31 Kang Shuai , Shanshan Luo , Wei Li , Yangbo He

Estimating the causal effects of an intervention from high-dimensional observational data is difficult due to the presence of confounding. The task is often complicated by the fact that we may have a systematic missingness in our data at…

Machine Learning · Statistics 2020-03-02 Sonali Parbhoo , Mario Wieser , Aleksander Wieczorek , Volker Roth

Medical studies for chronic disease are often interested in the relation between longitudinal risk factor profiles and individuals' later life disease outcomes. These profiles may typically be subject to intermediate structural changes due…

Applications · Statistics 2023-08-22 Sandra Keizer , Zhuozhao Zhan , Vasan S. Ramachandran , Edwin R. van den Heuvel

We discuss Bayesian nonparametric procedures for the regression analysis of compositional responses, that is, data supported on a multivariate simplex. The procedures are based on a modified class of multivariate Bernstein polynomials and…

Methodology · Statistics 2021-08-31 Claudia Wehrhahn , Andrés F. Barrientos , Alejandro Jara

This paper studies a panel data setting where the goal is to estimate causal effects of an intervention by predicting the counterfactual values of outcomes for treated units, had they not received the treatment. Several approaches have been…

Econometrics · Economics 2019-03-26 Susan Athey , Mohsen Bayati , Guido Imbens , Zhaonan Qu

In high-throughput genetics studies, an important aim is to identify gene-environment interactions associated with the clinical outcomes. Recently, multiple marginal penalization methods have been developed and shown to be effective in…

Methodology · Statistics 2021-02-24 Xi Lu , Kun Fan , Jie Ren , Cen Wu

In causal analysis, understanding the causal mechanisms through which an intervention or treatment affects an outcome is often of central interest. We propose a test to evaluate (i) whether the causal effect of a treatment that is randomly…

Econometrics · Economics 2026-03-05 Martin Huber , Kevin Kloiber , Lukáš Lafférs

Estimating the effect of intervention from observational data while accounting for confounding variables is a key task in causal inference. Oftentimes, the confounders are unobserved, but we have access to large amounts of additional…

Machine Learning · Computer Science 2022-12-13 Shachi Deshpande , Kaiwen Wang , Dhruv Sreenivas , Zheng Li , Volodymyr Kuleshov

We propose a test for the identification of causal effects in mediation and dynamic treatment models that is based on two sets of observed variables, namely covariates to be controlled for and suspected instruments, building on the test by…

Econometrics · Economics 2024-06-21 Martin Huber , Kevin Kloiber , Lukas Laffers

Causal effect estimation from observational data is a crucial but challenging task. Currently, only a limited number of data-driven causal effect estimation methods are available. These methods either provide only a bound estimation of the…

Methodology · Statistics 2020-11-10 Debo Cheng , Jiuyong Li , Lin Liu , Kui Yu , Thuc Duy Lee , Jixue Liu

We commonly assume that data are a homogeneous set of observations when learning the structure of Bayesian networks. However, they often comprise different data sets that are related but not homogeneous because they have been collected in…

Machine Learning · Statistics 2022-11-16 Marco Scutari , Christopher Marquis , Laura Azzimonti

Performing causal inference in observational studies requires we assume confounding variables are correctly adjusted for. G-computation methods are often used in these scenarios, with several recent proposals using Bayesian versions of…

Methodology · Statistics 2021-10-25 Daniel Daly-Grafstein , Paul Gustafson

Heterogeneous data from multiple populations, sub-groups, or sources is often represented as a ``mixture model'' with a single latent class influencing all of the observed covariates. Heterogeneity can be resolved at multiple levels by…

Machine Learning · Computer Science 2024-12-16 Bijan Mazaheri , Chandler Squires , Caroline Uhler

Mediation analysis seeks to understand the mechanism by which a treatment affects an outcome. Count or zero-inflated count outcome are common in many studies in which mediation analysis is of interest. For example, in dental studies,…

Methodology · Statistics 2016-07-12 Zijian Guo , Dylan S. Small , Stuart A. Gansky , Jing Cheng

We propose a flexible Bayesian approach for estimating the joint density of a multivariate outcome of interest in the presence of categorical covariates. Leveraging a Gaussian copula framework, our method effectively captures the dependence…

Methodology · Statistics 2026-04-10 Giovanni Toto , Peter Müller , Abhra Sarkar

This paper describes a Bayesian method for combining an arbitrary mixture of observational and experimental data in order to learn causal Bayesian networks. Observational data are passively observed. Experimental data, such as that produced…

Artificial Intelligence · Computer Science 2013-01-30 Gregory F. Cooper , Changwon Yoo