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It is of substantial scientific interest to detect mediators that lie in the causal pathway from an exposure to a survival outcome. However, with high-dimensional mediators, as often encountered in modern genomic data settings, there is a…

Methodology · Statistics 2024-08-14 Tzu-Jung Huang , Zhonghua Liu , Ian W. McKeague

This article presents a novel methodology for detecting multiple biomarkers in high-dimensional mediation models by utilizing a modified Least Absolute Shrinkage and Selection Operator (LASSO) alongside Pathway LASSO. This approach…

Methodology · Statistics 2025-04-17 Pei-Shan Yen , Soumya Sahu , Debarghya Nandi , Zhaoliang Zhou , Olusola Ajilore , Dulal Bhaumik

We address the common yet often-overlooked selection bias in interventional studies, where subjects are selectively enrolled into experiments. For instance, participants in a drug trial are usually patients of the relevant disease; A/B…

Machine Learning · Computer Science 2025-03-11 Haoyue Dai , Ignavier Ng , Jianle Sun , Zeyu Tang , Gongxu Luo , Xinshuai Dong , Peter Spirtes , Kun Zhang

Biological sequencing data consist of read counts, e.g. of specified taxa and often exhibit sparsity (zero-count inflation) and overdispersion (extra-Poisson variability). As most sequencing techniques provide an arbitrary total count,…

Applications · Statistics 2024-07-01 Noora Kartiosuo , Jaakko Nevalainen , Olli Raitakari , Katja Pahkala , Kari Auranen

Causal discovery is crucial for understanding complex systems and informing decisions. While observational data can uncover causal relationships under certain assumptions, it often falls short, making active interventions necessary. Current…

Machine Learning · Computer Science 2024-06-18 Yuxuan Wang , Mingzhou Liu , Xinwei Sun , Wei Wang , Yizhou Wang

Many complex diseases are known to be affected by the interactions between genetic variants and environmental exposures beyond the main genetic and environmental effects. Study of gene-environment (G$\times$E) interactions is important for…

Methodology · Statistics 2019-10-01 Jie Ren , Fei Zhou , Xiaoxi Li , Qi Chen , Hongmei Zhang , Shuangge Ma , Yu Jiang , Cen Wu

High-dimensional variable selection, with many more covariates than observations, is widely documented in standard regression models, but there are still few tools to address it in non-linear mixed-effects models where data are collected…

Statistics Theory · Mathematics 2024-04-08 Marion Naveau , Guillaume Kon Kam King , Renaud Rincent , Laure Sansonnet , Maud Delattre

One of the major research questions regarding human microbiome studies is the feasibility of designing interventions that modulate the composition of the microbiome to promote health and cure disease. This requires extensive understanding…

Methodology · Statistics 2021-11-18 Matthew D. Koslovsky , Kristi L. Hoffman , Carrie R. Daniel , Marina Vannucci

In many practices, scientists are particularly interested in detecting which of the predictors are truly associated with a multivariate response. It is more accurate to model multiple responses as one vector rather than separating each…

Methodology · Statistics 2021-11-16 Xiaotian Dai , Guifang Fu , Randall Reese , Shaofei Zhao , Zuofeng Shang

We propose a Bayesian model selection approach that allows medical practitioners to select among predictor variables while taking their respective costs into account. Medical procedures almost always incur costs in time and/or money. These…

Methodology · Statistics 2024-05-07 Erica M. Porter , Christopher T. Franck , Stephen Adams

A causal decomposition analysis allows researchers to determine whether the difference in a health outcome between two groups can be attributed to a difference in each group's distribution of one or more modifiable mediator variables. With…

Methodology · Statistics 2024-08-09 Melissa J. Smith , Leslie A. McClure , D. Leann Long

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

Causal effect estimation is a critical task in statistical learning that aims to find the causal effect on subjects by identifying causal links between a number of predictor (or, explanatory) variables and the outcome of a treatment. In a…

Methodology · Statistics 2024-11-26 Tathagata Basu , Matthias C. M. Troffaes

This paper investigates Bayesian variable selection when there is a hierarchical dependence structure on the inclusion of predictors in the model. In particular, we study the type of dependence found in polynomial response surfaces of…

Methodology · Statistics 2015-02-03 Daniel Taylor-Rodriguez , Andrew Womack , Nikolay Bliznyuk

Unscheduled treatment interruptions may lead to reduced quality of care in radiation therapy (RT). Identifying the RT prescription dose effects on the outcome of treatment interruptions, mediated through doses distributed into different…

Methodology · Statistics 2024-09-25 Zijin Liu , Zhihui Liu , Ali Hosni , John Kim , Bei Jiang , Olli Saarela

Social and behavioral scientists are increasingly employing technologies such as fMRI, smartphones, and gene sequencing, which yield 'high-dimensional' datasets with more columns than rows. There is increasing interest, but little…

Methodology · Statistics 2019-10-11 Erik-Jan van Kesteren , Daniel L. Oberski

This paper is concerned with the numerical solution of model-based, Bayesian inverse problems. We are particularly interested in cases where the cost of each likelihood evaluation (forward-model call) is expensive and the number of un-…

Computation · Statistics 2016-07-25 Isabell M. Franck , P. S. Koutsourelakis

We propose a novel Bayesian model selection technique on linear mixed-effects models to compare multiple treatments with a control. A fully Bayesian approach is implemented to estimate the marginal inclusion probabilities that provide a…

Applications · Statistics 2015-09-28 Lei Gong , James M. Flegal , Stephen R. Spindler , Patricia L. Mote

We propose a set of causal estimands that we call the "mediated probabilities of causation." These estimands quantify the probabilities that an observed negative outcome was induced via a mediating pathway versus a direct pathway in a…

Methodology · Statistics 2025-02-14 Max Rubinstein , Maria Cuellar , Daniel Malinsky

In randomized trials, researchers are often interested in mediation analysis to understand how a treatment works, in particular how much of a treatment's effect is mediated by an intermediated variable and how much the treatment directly…

Methodology · Statistics 2013-01-01 Dylan S. Small