activity
20202026
most citedStudying continuous, time-varying, and/or complex exposures using longitudinal modified treatment policies

11 citations · 25 across the 18 of their papers we have counts for

collaborators

22 papers

stat.ME2026

Modified treatment policies that depend on the natural history of treatment

Iván Díaz, Nicholas T. Williams, Paweł Morzywołek +1

Longitudinal modified treatment policies (LMTP) are a class of interventions that allow the definition, identification, and estimation of causal effects in general settings, such a…

stat.ME2026

Improving reproducibility by controlling random seed stability in machine learning based estimation via bagging

Nicholas Williams, Alejandro Schuler

Predictions from machine learning algorithms can vary across random seeds, inducing instability in downstream debiased machine learning estimators. We formalize random seed stabili…

stat.ME2026

crumble: A comprehensive framework for modern causal mediation analysis with intermediate confounding

Richard Liu, Nicholas T. Williams, Kara E. Rudolph +1

Causal mediation analysis is widely used to investigate how causal effects operate through specific pathways linking treatments or exposures to outcomes. Recently, \texttt{crumble}…

stat.ME2025

Everything all at once: On choosing an estimand for multi-component environmental exposures

Kara E. Rudolph, Shodai Inose, Nicholas Williams +4

Many research questions -- particularly those in environmental health -- do not involve binary exposures. In environmental epidemiology, this includes multivariate exposure mixture…

math.ST2025

Riesz representers for the rest of us

Nicholas T. Williams, Oliver J. Hines, Kara E. Rudolph

The application of semiparametric efficient estimators, particularly those that leverage machine learning, is rapidly expanding within epidemiology and causal inference. This liter…

stat.ME2025

Longitudinal weighted and trimmed treatment effects with flip interventions

Alec McClean, Alexander W. Levis, Nicholas Williams +1

Weighting and trimming are popular methods for addressing positivity violations in causal inference. While well-studied with single-timepoint data, standard methods do not easily g…

stat.ML2024★ 3 cited

General targeted machine learning for modern causal mediation analysis

Richard Liu, Nicholas T. Williams, Kara E. Rudolph +1

Causal mediation analyses investigate the mechanisms through which causes exert their effects, and are therefore central to scientific progress. The literature on the non-parametri…

stat.ME2024

Longitudinal Generalizations of the Average Treatment Effect on the Treated for Multi-valued and Continuous Treatments

Herbert Susmann, Nicholas T. Williams, Kara E. Rudolph +1

The Average Treatment Effect on the Treated (ATT) is a common causal parameter defined as the average effect of a binary treatment among the subset of the population receiving trea…

stat.AP2024

Associations between pain-management treatments and opioid use disorder risk among Medicaid patients

Kara E. Rudolph, Nicholas T. Williams, Ivan Diaz +7

Introduction: Chronic pain patients are at increased risk of opioid-misuse. Less is known about the unique risk conferred by each pain-management treatment, as treatments are typic…

q-bio.QM2024

A drug classification pipeline for Medicaid claims using RxNorm

Nicholas Williams, Kara E. Rudolph

Objective: Freely preprocess drug codes recorded in electronic health records and insurance claims to drug classes that may then be used in biomedical research. Materials and Metho…

stat.ME2024

Identification and estimation of mediational effects of longitudinal modified treatment policies

Brian Gilbert, Katherine L. Hoffman, Nicholas Williams +3

We demonstrate a comprehensive semiparametric approach to causal mediation analysis, addressing the complexities inherent in settings with longitudinal and continuous treatments, c…

stat.ME2024★ 4 cited

Learning Optimal Dynamic Treatment Regimes from Longitudinal Data

Nicholas T. Williams, Katherine L. Hoffman Iván Díaz, Kara E. Rudolph

Studies often report estimates of the average treatment effect. While the ATE summarizes the effect of a treatment on average, it does not provide any information about the effect…

stat.ME2024★ 1 cited

Recanting twins: addressing intermediate confounding in mediation analysis

Tat-Thang Vo, Nicholas Williams, Richard Liu +2

The presence of intermediate confounders, also called recanting witnesses, is a fundamental challenge to the investigation of causal mechanisms in mediation analysis, preventing th…

stat.ME2024

Two-Step Targeted Minimum-Loss Based Estimation for Non-Negative Two-Part Outcomes

Nicholas T. Williams, Richard Liu, Katherine L. Hoffman +3

Non-negative two-part outcomes are defined as outcomes with a density function that have a zero point mass but are otherwise positive. Examples, such as healthcare expenditure and…

stat.ME2023★ 11 cited

Studying continuous, time-varying, and/or complex exposures using longitudinal modified treatment policies

Katherine L. Hoffman, Diego Salazar-Barreto, Nicholas Williams +2

This tutorial discusses methodology for causal inference using longitudinal modified treatment policies. This method facilitates the mathematical formalization, identification, and…

stat.ME2023★ 2 cited

Improving efficiency in transporting average treatment effects

Kara E. Rudolph, Nicholas T. Williams, Elizabeth A. Stuart +1

We develop flexible, semiparametric estimators of the average treatment effect (ATE) transported to a new population ("target population") that offer potential efficiency gains. Tr…

stat.ME2022

All models are wrong, but which are useful? Comparing parametric and nonparametric estimation of causal effects in finite samples

Kara E. Rudolph, Nicholas Williams, Caleb H. Miles +2

There is a long-standing debate in the statistical, epidemiological and econometric fields as to whether nonparametric estimation that uses data-adaptive methods, like machine lear…

stat.ME2022★ 2 cited

Nonparametric estimators of interventional (transported) direct and indirect effects that accommodate multiple mediators and multiple intermediate confounders

Kara E Rudolph, Nicholas Williams, Ivan Diaz

Mediation analysis is appealing for its ability to improve understanding of the mechanistic drivers of causal effects, but real-world data complexities challenge its successful imp…

stat.ME2022

A novel decomposition to explain heterogeneity in observational and randomized studies of causality

Brian Gilbert, Ivan Dıaz, Kara E. Rudolph +2

This paper introduces a novel decomposition framework to explain heterogeneity in causal effects observed across different studies, considering both observational and randomized se…

stat.ME2021★ 1 cited

Causal mediation with instrumental variables

Kara E. Rudolph, Nicholas Williams, Ivan Diaz

Mediation analysis is a strategy for understanding the mechanisms by which treatments or interventions affect later outcomes. Mediation analysis is frequently applied in randomized…

stat.ME2021★ 1 cited

Optimizing Precision and Power by Machine Learning in Randomized Trials, with an Application to COVID-19

Nicholas Williams, Michael Rosenblum, Iván Díaz

The rapid finding of effective therapeutics requires the efficient use of available resources in clinical trials. The use of covariate adjustment can yield statistical estimates wi…

stat.ME2020

Non-parametric causal effects based on longitudinal modified treatment policies

Iván Díaz, Nicholas Williams, Katherine L. Hoffman +1

Most causal inference methods consider counterfactual variables under interventions that set the treatment deterministically. With continuous or multi-valued treatments or exposure…