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Journal ArticleDOI

Reducing Bias in Observational Studies Using Subclassification on the Propensity Score

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TLDR
In this article, five subclasses defined by the estimated propensity score are constructed that balance 74 covariates, and thereby provide estimates of treatment effects using direct adjustment, and these subclasses are applied within sub-populations, and model-based adjustments are then used to provide estimates for treatment effects within these sub-population.
Abstract
The propensity score is the conditional probability of assignment to a particular treatment given a vector of observed covariates. Previous theoretical arguments have shown that subclassification on the propensity score will balance all observed covariates. Subclassification on an estimated propensity score is illustrated, using observational data on treatments for coronary artery disease. Five subclasses defined by the estimated propensity score are constructed that balance 74 covariates, and thereby provide estimates of treatment effects using direct adjustment. These subclasses are applied within sub-populations, and model-based adjustments are then used to provide estimates of treatment effects within these sub-populations. Two appendixes address theoretical issues related to the application: the effectiveness of subclassification on the propensity score in removing bias, and balancing properties of propensity scores with incomplete data.

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Citations
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Journal ArticleDOI

An Introduction to Propensity Score Methods for Reducing the Effects of Confounding in Observational Studies

TL;DR: The propensity score is a balancing score: conditional on the propensity score, the distribution of observed baseline covariates will be similar between treated and untreated subjects, and different causal average treatment effects and their relationship with propensity score analyses are described.
Journal ArticleDOI

Constructing a Control Group Using Multivariate Matched Sampling Methods That Incorporate the Propensity Score

TL;DR: This article used multivariate matching methods in an observational study of the effects of prenatal exposure to barbiturates on subsequent psychological development, using the propensity score as a distinct matching variable.
Journal ArticleDOI

Some practical guidance for the implementation of propensity score matching

TL;DR: Propensity score matching (PSM) has become a popular approach to estimate causal treatment effects as discussed by the authors, but empirical examples can be found in very diverse fields of study, and each implementation step involves a lot of decisions and different approaches can be thought of.
Journal ArticleDOI

Propensity score methods for bias reduction in the comparison of a treatment to a non‐randomized control group

TL;DR: The propensity score, defined as the conditional probability of being treated given the covariates, can be used to balance the variance of covariates in the two groups, and therefore reduce bias as mentioned in this paper.
Journal ArticleDOI

Statistics and Causal Inference

TL;DR: In this article, the authors use a particular model for causal inference (Holland and Rubin 1983; Rubin 1974) to critique the discussions of other writers on causation and causal inference.
References
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Book ChapterDOI

Nonparametric Estimation from Incomplete Observations

TL;DR: In this article, the product-limit (PL) estimator was proposed to estimate the proportion of items in the population whose lifetimes would exceed t (in the absence of such losses), without making any assumption about the form of the function P(t).
Journal ArticleDOI

The central role of the propensity score in observational studies for causal effects

Paul R. Rosenbaum, +1 more
- 01 Apr 1983 - 
TL;DR: The authors discusses the central role of propensity scores and balancing scores in the analysis of observational studies and shows that adjustment for the scalar propensity score is sufficient to remove bias due to all observed covariates.
Journal ArticleDOI

Exploratory data analysis

F. N. David, +1 more
- 01 Dec 1977 - 
Journal ArticleDOI

Exploratory Data Analysis.

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