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Many modern estimators require bootstrapping to calculate confidence intervals because either no analytic standard error is available or the distribution of the parameter of interest is non-symmetric. It remains however unclear how to…

Methodology · Statistics 2018-09-13 Michael Schomaker , Christian Heumann

Suppose that a sequence of treatments are assigned to influence an outcome of interest that occurs after the last treatment. Between treatments there exist time-dependent covariates that may be posttreatment variables of the earlier…

Methodology · Statistics 2015-05-28 Li Yin , Xiaoqin Wang

Many causal models of interest in epidemiology involve longitudinal exposures, confounders and mediators. However, repeated measurements are not always available or used in practice, leading analysts to overlook the time-varying nature of…

Methodology · Statistics 2023-02-21 Lola Etievant , Vivian Viallon

Difference-in-differences (DID) approaches are widely used for estimating causal effects with observational data before and after an intervention. DID traditionally estimates the average treatment effect among the treated after making a…

Methodology · Statistics 2025-06-24 Julia C. Thome , Andrew J. Spieker , Peter F. Rebeiro , Chun Li , Tong Li , Bryan E. Shepherd

Causal identification of treatment effects for infectious disease outcomes in interconnected populations is challenging because infection outcomes may be transmissible to others, and treatment given to one individual may affect others'…

Methodology · Statistics 2021-05-11 Xiaoxuan Cai , Eben Kenah , Forrest W. Crawford

We consider time to treatment initialization. This can commonly occur in preventive medicine, such as disease screening and vaccination; it can also occur with non-fatal health conditions such as HIV infection without the onset of AIDS; or…

Methodology · Statistics 2025-08-15 Andrew Ying , Zhichen Zhao , Ronghui Xu

Instrumental variables have been widely used to estimate the causal effect of a treatment on an outcome. Existing confidence intervals for causal effects based on instrumental variables assume that all of the putative instrumental variables…

Methodology · Statistics 2016-07-14 Hyunseung Kang , T. Tony Cai , Dylan S. Small

Evaluation of HIV large scale interventions programme is becoming increasingly important, but impact estimates frequently hinge on knowledge of changes in behaviour such as the frequency of condom use (CU) over time, or other self-reported…

One of the most fundamental problems in causal inference is the estimation of a causal effect when variables are confounded. This is difficult in an observational study, because one has no direct evidence that all confounders have been…

Machine Learning · Statistics 2014-11-03 Ricardo Silva , Robin Evans

We consider a longitudinal data structure consisting of baseline covariates, time-varying treatment variables, intermediate time-dependent covariates, and a possibly time dependent outcome. Previous studies have shown that estimating the…

Statistics Theory · Mathematics 2018-10-09 Linh Tran , Maya Petersen , Joshua Schwab , Mark J van der Laan

Many research questions involve time-to-event outcomes that can be prevented from occurring due to competing events. In these settings, we must be careful about the causal interpretation of classical statistical estimands. In particular,…

Methodology · Statistics 2020-09-01 Torben Martinussen , Mats Julius Stensrud

G-computation is a useful estimation method that can be adapted to address various biases in epidemiology. However, these adaptations may not be obvious for some complex causal structures. This challenge is an example of the much wider…

Methodology · Statistics 2025-08-01 Paul N Zivich , Haidong Lu

Traditional mediation analysis typically examines the relations among an intervention, a time-invariant mediator, and a time-invariant outcome variable. Although there may be a direct effect of the intervention on the outcome, there is a…

Applications · Statistics 2020-08-28 Xizhen Cai , Donna L. Coffman , Megan E. Piper , Runze Li

Instrumental variable based estimation of a causal effect has emerged as a standard approach to mitigate confounding bias in the social sciences and epidemiology, where conducting randomized experiments can be too costly or impossible.…

Methodology · Statistics 2026-01-21 Danielle Tsao , Krikamol Muandet , Frederick Eberhardt , Emilija Perković

Most of the work on the structural nested model and g-estimation for causal inference in longitudinal data assumes a discrete-time underlying data generating process. However, in some observational studies, it is more reasonable to assume…

Statistics Theory · Mathematics 2011-03-09 Mingyuan Zhang , Marshall M. Joffe , Dylan S. Small

Confounding and exposure measurement error can introduce bias when drawing inference about the marginal effect of an exposure on an outcome of interest. While there are broad methodologies for addressing each source of bias individually,…

Methodology · Statistics 2025-01-29 Brian D. Richardson , Bryan S. Blette , Peter B. Gilbert , Michael G. Hudgens

Causal effects are commonly defined as comparisons of the potential outcomes under treatment and control, but this definition is threatened by the possibility that the treatment or control condition is not well-defined, existing instead in…

Methodology · Statistics 2019-04-26 Raiden B. Hasegawa , Sameer K. Deshpande , Dylan S. Small , Paul R. Rosenbaum

Instrumental variables are a popular study design for the estimation of treatment effects in the presence of unobserved confounders. In the canonical instrumental variables design, the instrument is a binary variable. In many settings,…

Methodology · Statistics 2024-10-10 Prabrisha Rakshit , Alexander Levis , Luke Keele

Longitudinal settings involving outcome, competing risks and censoring events occurring and recurring in continuous time are common in medical research, but are often analyzed with methods that do not allow for taking post-baseline…

Methodology · Statistics 2025-04-14 Helene C. W. Rytgaard , Mark J. van der Laan

Given two sets of elements (such as cell types and drug compounds), researchers typically only have access to a limited subset of their interactions. The task of causal imputation involves using this subset to predict unobserved…

Machine Learning · Computer Science 2024-10-29 Marco Jiralerspong , Thomas Jiralerspong , Vedant Shah , Dhanya Sridhar , Gauthier Gidel