Handling missing data when estimating causal effects with Targeted Maximum Likelihood Estimation

Fuente: arXiv
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Main Authors: Dashti, S. Ghazaleh, Lee, Katherine J., Simpson, Julie A., White, Ian R., Carlin, John B., Moreno-Betancur, Margarita
Format: Preprint
Published: 2021
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author Dashti, S. Ghazaleh
Lee, Katherine J.
Simpson, Julie A.
White, Ian R.
Carlin, John B.
Moreno-Betancur, Margarita
author_facet Dashti, S. Ghazaleh
Lee, Katherine J.
Simpson, Julie A.
White, Ian R.
Carlin, John B.
Moreno-Betancur, Margarita
contents Targeted Maximum Likelihood Estimation (TMLE) is increasingly used for doubly robust causal inference, but how missing data should be handled when using TMLE with data-adaptive approaches is unclear. Based on the Victorian Adolescent Health Cohort Study, we conducted a simulation study to evaluate eight missing data methods in this context: complete-case analysis, extended TMLE incorporating outcome-missingness model, missing covariate missing indicator method, five multiple imputation (MI) approaches using parametric or machine-learning models. Six scenarios were considered, varying in exposure/outcome generation models (presence of confounder-confounder interactions) and missingness mechanisms (whether outcome influenced missingness in other variables and presence of interaction/non-linear terms in missingness models). Complete-case analysis and extended TMLE had small biases when outcome did not influence missingness in other variables. Parametric MI without interactions had large bias when exposure/outcome generation models included interactions. Parametric MI including interactions performed best in bias and variance reduction across all settings, except when missingness models included a non-linear term. When choosing a method to handle missing data in the context of TMLE, researchers must consider the missingness mechanism and, for MI, compatibility with the analysis method. In many settings, a parametric MI approach that incorporates interactions and non-linearities is expected to perform well.
format Preprint
id arxiv_https___arxiv_org_abs_2112_05274
institution arXiv
publishDate 2021
record_format arxiv
spellingShingle Handling missing data when estimating causal effects with Targeted Maximum Likelihood Estimation
Dashti, S. Ghazaleh
Lee, Katherine J.
Simpson, Julie A.
White, Ian R.
Carlin, John B.
Moreno-Betancur, Margarita
Methodology
Applications
Targeted Maximum Likelihood Estimation (TMLE) is increasingly used for doubly robust causal inference, but how missing data should be handled when using TMLE with data-adaptive approaches is unclear. Based on the Victorian Adolescent Health Cohort Study, we conducted a simulation study to evaluate eight missing data methods in this context: complete-case analysis, extended TMLE incorporating outcome-missingness model, missing covariate missing indicator method, five multiple imputation (MI) approaches using parametric or machine-learning models. Six scenarios were considered, varying in exposure/outcome generation models (presence of confounder-confounder interactions) and missingness mechanisms (whether outcome influenced missingness in other variables and presence of interaction/non-linear terms in missingness models). Complete-case analysis and extended TMLE had small biases when outcome did not influence missingness in other variables. Parametric MI without interactions had large bias when exposure/outcome generation models included interactions. Parametric MI including interactions performed best in bias and variance reduction across all settings, except when missingness models included a non-linear term. When choosing a method to handle missing data in the context of TMLE, researchers must consider the missingness mechanism and, for MI, compatibility with the analysis method. In many settings, a parametric MI approach that incorporates interactions and non-linearities is expected to perform well.
title Handling missing data when estimating causal effects with Targeted Maximum Likelihood Estimation
topic Methodology
Applications
url https://arxiv.org/abs/2112.05274