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This paper provides robust estimators and efficient inference of causal effects involving multiple interacting mediators. Most existing works either impose a linear model assumption among the mediators or are restricted to handle…

Methodology · Statistics 2024-01-12 Haoyu Wei , Hengrui Cai , Chengchun Shi , Rui Song

Joint models for a wide class of response variables and longitudinal measurements consist on a mixed-effects model to fit longitudinal trajectories whose random effects enter as covariates in a generalized linear model for the primary…

Methodology · Statistics 2014-07-03 Rolando De la Cruz , Cristian Meza , Ana Arribas-Gil , Raymond J. Carroll

In estimating the causal effect of a continuous exposure or treatment, it is important to control for all confounding factors. However, most existing methods require parametric specification for how control variables influence the outcome…

Applications · Statistics 2020-07-21 Spencer Woody , Carlos M. Carvalho , P. Richard Hahn , Jared S. Murray

The identification of latent mediator variables is typically conducted using standard structural equation models (SEMs). When SEM is applied to mediation analysis with a causal interpretation, valid inference relies on the strong assumption…

Methodology · Statistics 2025-10-02 Sofia Morelli , Roberto Faleh , Holger Brandt

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

Mediation analysis has been widely used to investigate how a treatment influences an outcome through intermediate variables, known as mediators. Analyzing a mediation mechanism typically requires assessing multiple model parameters that…

Methodology · Statistics 2025-10-01 Hanying Jiang , Kris Sankaran , Yinqiu He

Recently, high-dimensional heterogeneous data have attracted a lot of attention and discussion. Under heterogeneity, semiparametric regression is a popular choice to model data in statistics. In this paper, we take advantages of expectile…

Statistics Theory · Mathematics 2019-08-20 Jun Zhao , Guan'ao Yan , Yi Zhang

Inference in hierarchical nonlinear models needs careful consideration about targeting parameters that have either a conditional or population-average interpretation. For the special case of mixed-effects nonlinear sigmoidal models we…

Applications · Statistics 2017-07-11 Daniel Gerhard , Christian Ritz

In many scientific studies, it becomes increasingly important to delineate the causal pathways through a large number of mediators, such as genetic and brain mediators. Structural equation modeling (SEM) is a popular technique to estimate…

Machine Learning · Statistics 2016-03-28 Yi Zhao , Xi Luo

A parametric expression for causal natural direct and indirect effects is derived for the setting of a binary outcome with a binary mediator. The proposed effect decomposition does not require the outcome to be rare and generalizes the…

Methodology · Statistics 2021-04-13 Marco Doretti , Martina Raggi , Elena Stanghellini

Epidemiological evidence supports an association between exposure to air pollution during pregnancy and birth and child health outcomes. Typically, such associations are estimated by regressing an outcome on daily or weekly measures of…

The analysis of data arising from environmental health studies which collect a large number of measures of exposure can benefit from using latent variable models to summarize exposure information. However, difficulties with estimation of…

Applications · Statistics 2009-08-21 Brisa N. Sánchez , Esben Budtz-Jørgensen , Louise M. Ryan

During the past few years, mediation analysis has gained increasing popularity across various research fields. The primary objective of mediation analysis is to examine the direct impact of exposure on outcome, as well as the indirect…

Computation · Statistics 2023-05-18 Haixiang Zhang , Xin Li

Causal mediation analysis is a powerful tool for disentangling the total effect of a treatment into its direct effect on the outcome and its indirect effect mediated through an intermediate variable. However, in observational studies,…

Econometrics · Economics 2026-04-28 Yuhao Deng , Haoyu Wei , Zhongzhe Ouyang

This paper develops a new approach to post-selection inference for screening high-dimensional predictors of survival outcomes. Post-selection inference for right-censored outcome data has been investigated in the literature, but much…

Methodology · Statistics 2021-12-22 Tzu-Jung Huang , Alex Luedtke , Ian W. McKeague

Questions concerning mediated causal effects are of great interest in psychology, cognitive science, medicine, social science, public health, and many other disciplines. For instance, about 60% of recent papers published in leading journals…

Statistics Theory · Mathematics 2013-03-05 Ilya Shpitser

Given the long follow-up periods that are often required for treatment or intervention studies, the potential to use surrogate markers to decrease the required follow-up time is a very attractive goal. However, previous studies have shown…

Methodology · Statistics 2016-08-12 Layla Parast , Tianxi Cai , Lu Tian

We develop a distribution regression model with a censored selection rule, offering a semi-parametric generalization of the Heckman selection model. Our approach applies to the entire distribution, extending beyond the mean or median,…

Econometrics · Economics 2025-05-19 Ivan Fernandez-Val , Seoyun Hong

Maternal exposure to environmental chemicals during pregnancy can alter birth and children's health outcomes. Research seeks to identify critical windows, time periods when the exposures can change future health outcomes, and estimate the…

Methodology · Statistics 2022-04-14 Daniel Mork , Ander Wilson

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
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