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Analyses of causal mediation often involve exposure-induced confounders or, relatedly, multiple mediators. In such applications, researchers aim to estimate a variety of different quantities, including interventional direct and indirect…

Methodology · Statistics 2025-06-18 Jesse Zhou , Geoffrey T. Wodtke

After variable selection, standard inferential procedures for regression parameters may not be uniformly valid; there is no finite-sample size at which a standard test is guaranteed to approximately attain its nominal size. This problem is…

Methodology · Statistics 2020-07-07 Oliver Dukes , Vahe Avagyan , Stijn Vansteelandt

Mediation analysis in high-dimensional settings often involves identifying potential mediators among a large number of measured variables. For this purpose, a two step familywise error rate (FWER) procedure called ScreenMin has been…

Methodology · Statistics 2019-11-05 Vera Djordjilović , Jesse Hemerik , Magne Thoresen

Causal mediation analysis is used to evaluate direct and indirect causal effects of a treatment on an outcome of interest through an intermediate variable or a mediator.It is difficult to identify the direct and indirect causal effects…

Applications · Statistics 2020-01-14 Wei Li , Chunchen Liu , Zhi Geng , John Murray

Mediation analysis has become a widely used method for identifying the pathways through which an independent variable influences a dependent variable via intermediate mediators. However, limited research addresses the case where mediators…

Methodology · Statistics 2025-06-10 Rui Ren , Haoyi Yang , Qian Xiao , Lingzhou Xue , Yuan Huang

We propose a difference-in-differences (DiD) framework with mediation for possibly multivalued discrete or continuous treatments and mediators, aimed at identifying the direct effect of the treatment on the outcome (net of effects operating…

Econometrics · Economics 2026-03-02 Martin Huber , Sarina Joy Oberhänsli

We consider the change point testing problem for high-dimensional time series. Unlike conventional approaches, where one tests whether the difference $\delta$ of the mean vectors before and after the change point is equal to zero, we argue…

Statistics Theory · Mathematics 2025-09-01 Pascal Quanz , Holger Dette

Identifying individual mediators is a central goal of high-dimensional mediation analysis, yet pervasive dependence among mediators can invalidate standard debiased inference and lead to substantial false discovery rate (FDR) inflation. We…

Methodology · Statistics 2026-02-19 Chen Shi , Zhao Chen , Christina Dan Wang

In an extended effective operator framework, we investigate in detail the effects of light mediators on the event spectra of dark matter (DM)-nucleus scatterings. The presence of light mediators changes the interpretation of the current…

High Energy Physics - Phenomenology · Physics 2015-06-23 Tai Li , Sen Miao , Yu-Feng Zhou

Deciding on an appropriate intervention requires a causal model of a treatment, the outcome, and potential mediators. Causal mediation analysis lets us distinguish between direct and indirect effects of the intervention, but has mostly been…

Machine Learning · Computer Science 2023-06-19 Çağlar Hızlı , ST John , Anne Juuti , Tuure Saarinen , Kirsi Pietiläinen , Pekka Marttinen

Ultrahigh dimensional data sets are becoming increasingly prevalent in areas such as bioinformatics, medical imaging, and social network analysis. Sure independent screening of such data is commonly used to analyze such data. Nevertheless,…

Methodology · Statistics 2020-10-15 Randall Reese , Xiaotian Dai , Guifang Fu

There is an increasing trend of research in mediation analysis for survival outcomes. Such analyses help researchers to better understand how exposure affects disease outcomes through mediators. However, due to censored observations in…

Methodology · Statistics 2022-05-09 Bin Shi , Xuelin Huang , Peng Wei

We propose a methodology for testing linear hypothesis in high-dimensional linear models. The proposed test does not impose any restriction on the size of the model, i.e. model sparsity or the loading vector representing the hypothesis.…

Methodology · Statistics 2019-07-09 Yinchu Zhu , Jelena Bradic

Feature screening is an important tool in analyzing ultrahigh-dimensional data, particularly in the field of Omics and oncology studies. However, most attention has been focused on identifying features that have a linear or monotonic impact…

Methodology · Statistics 2023-05-10 Yaxian Chen , KF Lam , Zhonghua Liu

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…

Methodology · Statistics 2025-04-08 Mingrui Zhang , Peng Ding

We consider the problem of identifying intermediate variables (or mediators) that regulate the effect of a treatment on a response variable. While there has been significant research on this classical topic, little work has been done when…

Methodology · Statistics 2021-07-29 Abhishek Chakrabortty , Preetam Nandy , Hongzhe Li

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…

Given empirical evidence for the dependence of an outcome variable on an exposure variable, we can typically only provide bounds for the "probability of causation" in the case of an individual who has developed the outcome after being…

Statistics Theory · Mathematics 2020-04-28 A. P. Dawid , R. Murtas , M. Musio

Mediation analysis is an important analytic tool commonly used in a broad range of scientific applications. In this article, we study the problem of mediation analysis when there are multivariate and conditionally dependent mediators, and…

Methodology · Statistics 2025-01-28 Lan Luo , Chengchun Shi , Jitao Wang , Zhenke Wu , Lexin Li

To assess whether there is some signal in a big database, aggregate tests for the global null hypothesis of no effect are routinely applied in practice before more specialized analysis is carried out. Although a plethora of aggregate tests…

Statistics Theory · Mathematics 2024-05-08 Anders Bredahl Kock , David Preinerstorfer
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