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In Randomised Controlled Trials (RCT) with treatment non-compliance, instrumental variable approaches are used to estimate complier average causal effects. We extend these approaches to cost-effectiveness analyses, where methods need to…

Methodology · Statistics 2016-12-02 Karla DiazOrdaz , Angelo Franchini , Richard Grieve

Individuals do not respond uniformly to treatments, events, or interventions. Sociologists routinely partition samples into subgroups to explore how the effects of treatments vary by covariates like race, gender, and socioeconomic status.…

Other Statistics · Statistics 2019-09-23 Jennie E. Brand , Jiahui Xu , Bernard Koch , Pablo Geraldo

There is growing interest in estimating and analyzing heterogeneous treatment effects in experimental and observational studies. We describe a number of meta-algorithms that can take advantage of any supervised learning or regression method…

Statistics Theory · Mathematics 2019-06-18 Sören R. Künzel , Jasjeet S. Sekhon , Peter J. Bickel , Bin Yu

The results from Genome-Wide Association Studies (GWAS) on thousands of phenotypes provide an unprecedented opportunity to infer the causal effect of one phenotype (exposure) on another (outcome). Mendelian randomization (MR), an…

Methodology · Statistics 2019-04-30 Jia Zhao , Jingsi Ming , Xianghong Hu , Gang Chen , Jin Liu , Can Yang

Nonstationary time series data exist in various scientific disciplines, including environmental science, biology, signal processing, econometrics, among others. Many Bayesian models have been developed to handle nonstationary time series.…

Methodology · Statistics 2022-06-27 Yuelei Sui , Scott H. Holan , Wen-Hsi Yang

Background: Mendelian randomization (MR) is a useful approach to causal inference from observational studies when randomised controlled trials are not feasible. However, study heterogeneity of two association studies required in MR is often…

Methodology · Statistics 2021-12-16 Linyi Zou , Hui Guo , Carlo Berzuini

Existing causal methods for time-varying exposure and time-varying confounding focus on estimating the average causal effect of a time-varying binary treatment on an end-of-study outcome, offering limited tools for characterizing marginal…

Methodology · Statistics 2026-01-21 Yu Luo , Kuan Liu , Ramandeep Singh , Daniel J. Graham

Randomised field experiments, such as A/B testing, have long been the gold standard for evaluating software changes. In the automotive domain, running randomised field experiments is not always desired, possible, or even ethical. In the…

Software Engineering · Computer Science 2022-07-04 Yuchu Liu , David Issa Mattos , Jan Bosch , Helena Holmström Olsson , Jonn Lantz

Stepped wedge cluster randomized trials (SWCRTs) often face challenges with potential confounding by time trends. Traditional frequentist methods can fail to provide adequate coverage of the intervention's true effect using confidence…

Methodology · Statistics 2024-02-02 Danni Wu , Hyung G. Park , Corita R. Grudzen , Keith S. Goldfeld

Intensive longitudinal biomarker data are increasingly common in scientific studies that seek temporally granular understanding of the role of behavioral and physiological factors in relation to outcomes of interest. Intensive longitudinal…

Methodology · Statistics 2024-01-17 Mingyan Yu , Zhenke Wu , Margaret Hicken , Michael R. Elliott

Latent variables may lead to spurious relationships that can be misinterpreted as causal relationships. In Bayesian Networks (BNs), this challenge is known as learning under causal insufficiency. Structure learning algorithms that assume…

Machine Learning · Computer Science 2020-08-19 Kiattikun Chobtham , Anthony C. Constantinou

In this work we present a method for the statistical analysis of continually monitored data arising in a recurrent diseases problem. The model enables individual level inference in the presence of time transience and population…

Applications · Statistics 2014-11-19 Madhuchhanda Bhattacharjee , Elja Arjas

Cluster randomized trials (CRTs) offer a practical alternative for addressing logistical challenges and ensuring feasibility in community health, education, and prevention studies, even though randomized controlled trials are considered the…

Methodology · Statistics 2025-10-30 Jooyeon Lee , M. S. , Evan Kwiatkowski , Ph. D

Construction of just-in-time adaptive interventions, such as prompts delivered by mobile apps to promote and maintain behavioral change, requires knowledge about time-varying moderated effects to inform when and how we deliver intervention…

Methodology · Statistics 2022-12-06 Jieru Shi , Zhenke Wu , Walter Dempsey

We incorporate heteroskedasticity into Bayesian Additive Regression Trees (BART) by modeling the log of the error variance parameter as a linear function of prespecified covariates. Under this scheme, the Gibbs sampling procedure for the…

Methodology · Statistics 2014-02-24 Justin Bleich , Adam Kapelner

We present a Bayesian nonparametric model for conditional distribution estimation using Bayesian additive regression trees (BART). The generative model we use is based on rejection sampling from a base model. Typical of BART models, our…

Methodology · Statistics 2022-02-02 Yinpu Li , Antonio R. Linero , Jared S. Murray

When treatments are non-randomly assigned, continuous, and yield heterogeneous effects at the same intensity, causal identification becomes particularly challenging. In such contexts, existing approaches often fail to provide…

Econometrics · Economics 2026-03-05 Augusto Cerqua , Roberta Di Stefano , Raffaele Mattera

Subgroup identification (clustering) is an important problem in biomedical research. Gene expression profiles are commonly utilized to define subgroups. Longitudinal gene expression profiles might provide additional information on disease…

Methodology · Statistics 2016-09-27 Jiehuan Sun , Jose D. Herazo-Maya , Naftali Kaminski , Hongyu Zhao , Joshua L. Warren

Uplift modeling is a rapidly growing approach that utilizes causal inference and machine learning methods to directly estimate the heterogeneous treatment effects, which has been widely applied to various online marketplaces to assist…

Machine Learning · Statistics 2022-09-27 Shu Wan , Chen Zheng , Zhonggen Sun , Mengfan Xu , Xiaoqing Yang , Hongtu Zhu , Jiecheng Guo

We propose a simple yet powerful extension of Bayesian Additive Regression Trees which we name Hierarchical Embedded BART (HE-BART). The model allows for random effects to be included at the terminal node level of a set of regression trees,…

Methodology · Statistics 2023-04-25 Bruna Wundervald , Andrew Parnell , Katarina Domijan