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Mediation analysis with contemporaneously observed multiple mediators is an important area of causal inference. Recent approaches for multiple mediators are often based on parametric models and thus may suffer from model misspecification.…

统计方法学 · 统计学 2022-08-30 Samrat Roy , Michael J. Daniels , Brendan J. Kelly , Jason Roy

Probabilities of Causation (PoC) play a fundamental role in decision-making in law, health care and public policy. Nevertheless, their point identification is challenging, requiring strong assumptions, in the absence of which only bounds…

人工智能 · 计算机科学 2023-10-13 Numair Sani , Atalanti A. Mastakouri

Nonignorable missingness and noncompliance can occur even in well-designed randomized experiments making the intervention effect that the experiment was designed to estimate nonidentifiable. Nonparametric causal bounds provide a way to…

统计理论 · 数学 2020-10-13 Erin E. Gabriel , Arvid Sjölander , Michael C. Sachs

Recent methodological research in causal inference has focused on effects of stochastic interventions, which assign treatment randomly, often according to subject-specific covariates. In this work, we demonstrate that the usual notion of…

Mediation analysis extending beyond single mediators has gained significant attention in recent years. However, related methods often assume the absence of unmeasured mediator-outcome confounding. To address this, we develop a mediation…

统计方法学 · 统计学 2026-03-31 Kang Shuai , Lan Liu , Yangbo He , Wei Li

Various methods have emerged for conducting mediation analyses with multiple correlated mediators, each with distinct strengths and limitations. However, a comparative evaluation of these methods is lacking, providing the motivation for…

应用统计 · 统计学 2024-06-25 Mary Appah , D. Leann Long , George Howard , Melissa J. Smith

Recently, interest has grown in the use of proxy variables of unobserved confounding for inferring the causal effect in the presence of unmeasured confounders from observational data. One difficulty inhibiting the practical use is finding…

机器学习 · 计算机科学 2024-05-28 Feng Xie , Zhengming Chen , Shanshan Luo , Wang Miao , Ruichu Cai , Zhi Geng

Causal mediation analysis is complicated with multiple effect definitions that require different sets of assumptions for identification. This paper provides a systematic explanation of such assumptions. We define five potential outcome…

统计方法学 · 统计学 2022-09-26 Trang Quynh Nguyen , Ian Schmid , Elizabeth L. Ogburn , Elizabeth A. Stuart

In medical research, a scenario often entertained is randomized controlled $2^2$ factorial design with a binary outcome. By utilizing the concept of potential outcomes, Dasgupta et al. (2015) proposed a randomization-based causal inference…

统计方法学 · 统计学 2017-11-15 Jiannan Lu

We demonstrate a comprehensive semiparametric approach to causal mediation analysis, addressing the complexities inherent in settings with longitudinal and continuous treatments, confounders, and mediators. Our methodology utilizes a…

We propose a new Bayesian non-parametric (BNP) method for estimating the causal effects of mediation in the presence of a post-treatment confounder. We specify an enriched Dirichlet process mixture (EDPM) to model the joint distribution of…

统计方法学 · 统计学 2023-05-10 Woojung Bae , Michael J. Daniels , Michael G. Perri

Ratios of integrals can be bounded in terms of ratios of integrands under certain monotonicity conditions. This result, related with L'H\^{o}pital's monotone rule, can be used to obtain sharp bounds for cumulative distribution functions. We…

经典分析与常微分方程 · 数学 2016-06-08 Javier Segura

Inference about treatment effects for time-to-event outcomes is often obscured by the presence of competing events. A particularly complex situation arises when the treatment influences the occurrence of the competing event. A comprehensive…

统计方法学 · 统计学 2026-05-20 Mikko Valtanen , Tommi Härkänen , Jenni Lehtisalo , Tiia Ngandu , Miia Kivipelto , Kari Auranen

Mediation analysis assesses the extent to which the exposure affects the outcome indirectly through a mediator and the extent to which it operates directly through other pathways. The popular Baron-Kenny approach estimates the indirect and…

统计方法学 · 统计学 2025-04-08 Mingrui Zhang , Peng Ding

Causal mediation analysis examines causal pathways linking exposures to disease. The estimation of interventional effects, which are mediation estimands that overcome certain identifiability problems of natural effects, has been advanced…

统计方法学 · 统计学 2025-04-23 Tong Chen , Stijn Vansteelandt , David Burgner , Toby Mansell , Margarita Moreno-Betancur

Mediation analysis is widely used for investigating direct and indirect causal pathways through which an effect arises. However, many mediation analysis studies are challenged by missingness in the mediator and outcome. In general, when the…

统计方法学 · 统计学 2023-09-25 Shuozhi Zuo , Debashis Ghosh , Peng Ding , Fan Yang

In causal inference, treatment effects are typically estimated under the ignorability, or unconfoundedness, assumption, which is often unrealistic in observational data. By relaxing this assumption and conducting a sensitivity analysis, we…

Unmeasured confounding and selection bias are often of concern in observational studies and may invalidate a causal analysis if not appropriately accounted for. Under outcome-dependent sampling, a latent factor that has causal effects on…

统计方法学 · 统计学 2022-08-03 Kendrick Qijun Li , Xu Shi , Wang Miao , Eric Tchetgen Tchetgen

The Complete Mediation Test (CMT) serves as a specialized approach of mediation analysis to assess whether an independent variable A, influences an outcome variable Y exclusively through a mediator M, without any direct effect. An…

统计方法学 · 统计学 2025-07-22 Yichin Tsai , Wan-Tzu Chang , Jia Jyun Sie , Cathy SJ Fann , Iebin Lian

The increase in the use of mobile and wearable devices now allows dense assessment of mediating processes over time. For example, a pharmacological intervention may have an effect on smoking cessation via reductions in momentary withdrawal…

统计方法学 · 统计学 2022-11-18 Donna L. Coffman , John J. Dziak , Kaylee Litson , Yajnaseni Chakraborti , Megan E. Piper , Runze Li