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Kara E Rudolph

Publications and source records attributed to Kara E Rudolph.

4 recordsLinked to original sources

From Subgroups to Population Composition: A Transportability Approach to Effect Heterogeneity

Identifying heterogeneous populations across which exposure effects vary is essential for transportability applications, cost-benefit analyses, and intervention prioritization. Traditional methods for heterogeneity analyses rely on parametric regression with prespecified subgroups, which may fail to capture complex patterns of effect modification. While recent data-adaptive methods improve high-dimensional heterogeneous effect prediction, they add methodological complexity to analyses and may offer limited insight into key drivers of heterogeneity. In this paper, we propose a novel, conceptual approach for heterogeneity analyses that considers how exposure effects would differ in populations with different compositions by modeling the population-level effect surface as a function of the distribution of effect modifiers. The approach consists of three steps: i) selecting confounders and effect modifiers based on prior knowledge (or alternatively using data-adaptive methods to learn effect modifiers), ii) estimating exposure effects in hypothetical populations with different effect modifier prevalences using transportability methods, and iii) modeling the estimated effects as a function of prevalence values. This approach provides two types of outputs: estimation of the change in the population-level exposure effects attributable to increases in effect modifier prevalence and ranking of effect estimates across multiple effect modifiers and prevalences to identify population characteristics most strongly associated with differential vulnerability. We demonstrate the approach using Demographic and Health Surveys data to examine heterogeneous effects of drought on child stunting and provide a Shiny application to implement this approach in any setting.

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

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 implementation, including: 1) the existence of post-exposure variables that also affect mediators and outcomes (thus, confounding the mediator-outcome relationship), that may also be 2) multivariate, and 3) the existence of multivariate mediators. Interventional direct and indirect effects (IDE/IIE) accommodate post-exposure variables that confound the mediator-outcome relationship, but currently, no estimator for IDE/IIE exists that allows for both multivariate mediators and multivariate post-exposure intermediate confounders. This, again, represents a significant limitation for real-world analyses. We address this gap by extending two recently developed nonparametric estimators -- one that estimates the IDE/IIE and another that estimates the IDE/IIE transported to a new, target population -- to allow for multivariate mediators and multivariate intermediate confounders simultaneously. We use simulation to examine finite sample performance, and apply these estimators to longitudinal data from the Moving to Opportunity trial. In the application, we walk through a strategy for separating indirect effects into mediator- or mediator-group-specific indirect effects, while appropriately accounting for other, possibly co-occurring intermediate variables.

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Transporting stochastic direct and indirect effects to new populations

Transported mediation effects may contribute to understanding how and why interventions may work differently when applied to new populations. However, we are not aware of any estimators for such effects. Thus, we propose several different estimators of transported stochastic direct and indirect effects: an inverse-probability of treatment stabilized weighted estimator, a doubly robust estimator that solves the estimating equation, and a doubly robust substitution estimator in the targeted minimum loss-based framework. We demonstrate their finite sample properties in a simulation study.

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Complier stochastic direct effects: identification and robust estimation

Mediation analysis is critical to understanding the mechanisms underlying exposure-outcome relationships. In this paper, we identify the instrumental variable (IV)-direct effect of the exposure on the outcome not through the mediator, using randomization of the instrument. To our knowledge, such an estimand has not previously been considered or estimated. We propose and evaluate several estimators for this estimand: a ratio of inverse-probability of treatment-weighted estimators (IPTW), a ratio of estimating equation estimators (EE), a ratio of targeted minimum loss-based estimators (TMLE), and a TMLE that targets the CSDE directly. These estimators are applicable for a variety of study designs, including randomized encouragement trials, like the MTO housing voucher experiment we consider as an illustrative example, treatment discontinuities, and Mendelian randomization. We found the IPTW estimator to be the most sensitive to finite sample bias, resulting in bias of over 40% even when all models were correctly specified in a sample size of N=100. In contrast, the EE estimator and compatible TMLE estimator were far less sensitive to finite samples. The EE and TMLE estimators also have advantages over the IPTW estimator in terms of efficiency and reduced reliance on correct parametric model specification.

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