Estimating Average Treatment Effects Utilizing Fractional Imputation when Confounders are Subject to Missingness

The problem of missingness in observational data is ubiquitous. When the confounders are missing at random, multiple imputation is commonly used; however, the method requires congeniality conditions for valid inferences, which may not be satisfied when estimating average causal treatment effects. Al...

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Main Authors: Corder Nathan, Yang Shu
Format: Article
Language:English
Published: De Gruyter 2020-12-01
Series:Journal of Causal Inference
Subjects:
Online Access:https://doi.org/10.1515/jci-2019-0024
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author Corder Nathan
Yang Shu
author_facet Corder Nathan
Yang Shu
author_sort Corder Nathan
collection DOAJ
description The problem of missingness in observational data is ubiquitous. When the confounders are missing at random, multiple imputation is commonly used; however, the method requires congeniality conditions for valid inferences, which may not be satisfied when estimating average causal treatment effects. Alternatively, fractional imputation, proposed by Kim 2011, has been implemented to handling missing values in regression context. In this article, we develop fractional imputation methods for estimating the average treatment effects with confounders missing at random. We show that the fractional imputation estimator of the average treatment effect is asymptotically normal, which permits a consistent variance estimate. Via simulation study, we compare fractional imputation’s accuracy and precision with that of multiple imputation.
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spelling doaj.art-35464a70e6d84b1bb6cca5bcc49857212022-12-21T21:28:12ZengDe GruyterJournal of Causal Inference2193-36772193-36852020-12-018124927110.1515/jci-2019-0024jci-2019-0024Estimating Average Treatment Effects Utilizing Fractional Imputation when Confounders are Subject to MissingnessCorder Nathan0Yang Shu1North Carolina State UniversityNorth Carolina, USNorth Carolina State UniversityNorth Carolina, USThe problem of missingness in observational data is ubiquitous. When the confounders are missing at random, multiple imputation is commonly used; however, the method requires congeniality conditions for valid inferences, which may not be satisfied when estimating average causal treatment effects. Alternatively, fractional imputation, proposed by Kim 2011, has been implemented to handling missing values in regression context. In this article, we develop fractional imputation methods for estimating the average treatment effects with confounders missing at random. We show that the fractional imputation estimator of the average treatment effect is asymptotically normal, which permits a consistent variance estimate. Via simulation study, we compare fractional imputation’s accuracy and precision with that of multiple imputation.https://doi.org/10.1515/jci-2019-0024missing datafractional imputationmultiple imputation62f1262f30
spellingShingle Corder Nathan
Yang Shu
Estimating Average Treatment Effects Utilizing Fractional Imputation when Confounders are Subject to Missingness
Journal of Causal Inference
missing data
fractional imputation
multiple imputation
62f12
62f30
title Estimating Average Treatment Effects Utilizing Fractional Imputation when Confounders are Subject to Missingness
title_full Estimating Average Treatment Effects Utilizing Fractional Imputation when Confounders are Subject to Missingness
title_fullStr Estimating Average Treatment Effects Utilizing Fractional Imputation when Confounders are Subject to Missingness
title_full_unstemmed Estimating Average Treatment Effects Utilizing Fractional Imputation when Confounders are Subject to Missingness
title_short Estimating Average Treatment Effects Utilizing Fractional Imputation when Confounders are Subject to Missingness
title_sort estimating average treatment effects utilizing fractional imputation when confounders are subject to missingness
topic missing data
fractional imputation
multiple imputation
62f12
62f30
url https://doi.org/10.1515/jci-2019-0024
work_keys_str_mv AT cordernathan estimatingaveragetreatmenteffectsutilizingfractionalimputationwhenconfoundersaresubjecttomissingness
AT yangshu estimatingaveragetreatmenteffectsutilizingfractionalimputationwhenconfoundersaresubjecttomissingness