Propensity Score Matching Underestimates Real Treatment Effect, in a Simulated Theoretical Multivariate Model

Propensity Score Matching (PSM) is a useful method to reduce the impact of Treatment-Selection Bias in the estimation of causal effects in observational studies. After matching, the PSM significantly reduces the sample under investigation, which may lead to other possible biases (due to overfitting,...

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Main Author: Daniel Garcia Iglesias
Format: Article
Language:English
Published: MDPI AG 2022-05-01
Series:Mathematics
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Online Access:https://www.mdpi.com/2227-7390/10/9/1547
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author Daniel Garcia Iglesias
author_facet Daniel Garcia Iglesias
author_sort Daniel Garcia Iglesias
collection DOAJ
description Propensity Score Matching (PSM) is a useful method to reduce the impact of Treatment-Selection Bias in the estimation of causal effects in observational studies. After matching, the PSM significantly reduces the sample under investigation, which may lead to other possible biases (due to overfitting, excess of covariation or a reduced number of observations). In this sense, we wanted to analyze the behavior of this PSM compared with other widely used methods to deal with non-comparable groups, such as the Multivariate Regression Model (MRM). Monte Carlo Simulations are made to construct groups with different effects in order to compare the behavior of PSM and MRM estimating these effects. In addition, the Treatment Selection Bias reduction for the PSM is calculated. With the PSM a reduction in the Treatment Selection Bias is achieved (0.983 [0.982, 0.984]), with a reduction in the Relative Real Treatment Effect Estimation Error (0.216 [0.2, 0.232]), but despite this bias reduction and estimation error reduction, the MRM reduces this estimation error significantly more than the PSM (0.539 [0.522, 0.556], <i>p</i> < 0.001). In addition, the PSM leads to a 30% reduction in the sample. This loss of information derived from the matching process may lead to another not known bias and thus to the inaccuracy of the effect estimation compared with the MRM.
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spelling doaj.art-62faa14471b242ffa455c005979fc9292023-11-23T08:45:58ZengMDPI AGMathematics2227-73902022-05-01109154710.3390/math10091547Propensity Score Matching Underestimates Real Treatment Effect, in a Simulated Theoretical Multivariate ModelDaniel Garcia Iglesias0Arrhythmia Unit, Cardiology Department, Hospital Universitario Central de Asturias, 33011 Oviedo, SpainPropensity Score Matching (PSM) is a useful method to reduce the impact of Treatment-Selection Bias in the estimation of causal effects in observational studies. After matching, the PSM significantly reduces the sample under investigation, which may lead to other possible biases (due to overfitting, excess of covariation or a reduced number of observations). In this sense, we wanted to analyze the behavior of this PSM compared with other widely used methods to deal with non-comparable groups, such as the Multivariate Regression Model (MRM). Monte Carlo Simulations are made to construct groups with different effects in order to compare the behavior of PSM and MRM estimating these effects. In addition, the Treatment Selection Bias reduction for the PSM is calculated. With the PSM a reduction in the Treatment Selection Bias is achieved (0.983 [0.982, 0.984]), with a reduction in the Relative Real Treatment Effect Estimation Error (0.216 [0.2, 0.232]), but despite this bias reduction and estimation error reduction, the MRM reduces this estimation error significantly more than the PSM (0.539 [0.522, 0.556], <i>p</i> < 0.001). In addition, the PSM leads to a 30% reduction in the sample. This loss of information derived from the matching process may lead to another not known bias and thus to the inaccuracy of the effect estimation compared with the MRM.https://www.mdpi.com/2227-7390/10/9/1547propensity score matchingmultivariate analysisgeneral linear modelMonte Carlo methodcausal effect estimationobservational study
spellingShingle Daniel Garcia Iglesias
Propensity Score Matching Underestimates Real Treatment Effect, in a Simulated Theoretical Multivariate Model
Mathematics
propensity score matching
multivariate analysis
general linear model
Monte Carlo method
causal effect estimation
observational study
title Propensity Score Matching Underestimates Real Treatment Effect, in a Simulated Theoretical Multivariate Model
title_full Propensity Score Matching Underestimates Real Treatment Effect, in a Simulated Theoretical Multivariate Model
title_fullStr Propensity Score Matching Underestimates Real Treatment Effect, in a Simulated Theoretical Multivariate Model
title_full_unstemmed Propensity Score Matching Underestimates Real Treatment Effect, in a Simulated Theoretical Multivariate Model
title_short Propensity Score Matching Underestimates Real Treatment Effect, in a Simulated Theoretical Multivariate Model
title_sort propensity score matching underestimates real treatment effect in a simulated theoretical multivariate model
topic propensity score matching
multivariate analysis
general linear model
Monte Carlo method
causal effect estimation
observational study
url https://www.mdpi.com/2227-7390/10/9/1547
work_keys_str_mv AT danielgarciaiglesias propensityscorematchingunderestimatesrealtreatmenteffectinasimulatedtheoreticalmultivariatemodel