The importance of covariate selection in controlling for selection bias in observational studies.
Abstract
The assumption of strongly ignorable treatment assignment is required for eliminating selection bias in observational studies. To meet this assumption, researchers often rely on a strategy of selecting covariates that they think will control for selection bias. Theory indicates that the most important covariates are those highly correlated with both the real selection process and the potential outcomes. However, when planning a study, it is rarely possible to identify such covariates with certainty. In this article, we report on an extensive reanalysis of a within-study comparison that contrasts a randomized experiment and a quasi-experiment. Various covariate sets were used to adjust for initial group differences in the quasi-experiment that was characterized by self-selection into treatment. The adjusted effect sizes were then compared with the experimental ones to identify which individual covariates, and which conceptually grouped sets of covariates, were responsible for the high degree of bias reduction achieved in the adjusted quasi-experiment. Such results provide strong clues about preferred strategies for identifying the covariates most likely to reduce bias when planning a study and when the true selection process is not known.
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Empirical examples exist where controlling for pre-treatment variables demonstrably increases rather than decreases bias.
“Empirical examples exist where controlling for pre-treatment variables demonstrably increases rather than decreases bias.”
From Endogenous Selection Bias: The Problem of Conditioning on a Collider Variable (2014) · cites this paper as Steiner et al. 2010
Steiner et al. found that in an observational study of an educational intervention, bias in the estimated effect on math scores increased by about 30% when controlling only for pre-treatment psychological disposition or only for pre-treatment vocabulary test scores.
“For example, Steiner et al. (2010) report a within-study comparison between an observational study and an experimental benchmark of the effect of an educational intervention on student test scores. In the observational study, the bias in the estimated effect of treatment on math scores increased by about 30% when controlling only for pre-treatment psychological disposition or only for pre”
From Endogenous Selection Bias: The Problem of Conditioning on a Collider Variable (2014) · cites this paper as Steiner et al. 2010
Steiner et al. found that controlling for additional pre-treatment variables generally reduced bias but sometimes increased bias.
“Furthermore, they found that although controlling for additional pre-treatment variables generally reduced bias, sometimes including additional controls increased bias.”
From Endogenous Selection Bias: The Problem of Conditioning on a Collider Variable (2014) · cites this paper as Steiner et al. 2010
If a pre-treatment collider is also a confounder, conditioning on it generally but not always removes more bias than it induces, especially if the analysis conditions on many other pre-treatment variables.
“If the pre-treatment collider is also a confounder, then conditioning on it will generally, but not always, remove more bias than it induces (Greenland 2003), especially if the analysis further conditions on many other pre-treatment variables (Steiner et al. 2010).”
From Endogenous Selection Bias: The Problem of Conditioning on a Collider Variable (2014) · cites this paper as Steiner et al. 2010
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- Authors
- Steiner, P. M., Cook, T. D., Shadish, W. R., & Clark, M. H.
- Affiliations
- Northwestern University (US)
- Venue
- Psychological Methods
- Published
- 2010
- Volume
- 15
- Issue
- 3
- Pages
- 250-267
- ISSN
- 1082-989X (ISSN-L)
- 1939-1463
- OpenAlex
- W2168206775
- Cited by
- 490
- References
- 55
- Citations by year
- 2026: 23 · 2025: 28 · 2024: 34 · 2023: 26 · 2022: 26 · 2021: 53 · 2020: 32 · 2019: 20 · 2018: 37 · 2017: 36 · 2016: 38 · 2015: 28 · 2014: 31 · 2013: 32 · 2012: 19
- FWCI
- 18.95
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- Psychological Methods (publishedVersion)
- PubMed (publishedVersion)
- Funders
- US Department of Education (R305U070003)
- Topics
- Physical Sciences › Mathematics › Statistics and Probability › Advanced Causal Inference Techniques
- Social Sciences › Decision Sciences › Statistics, Probability and Uncertainty › Meta-analysis and systematic reviews
- Physical Sciences › Mathematics › Statistics and Probability › Statistical Methods and Bayesian Inference
- Keywords
- covariate selection, selection bias, observational studies, quasi-experiments, self-selection, randomized experiments, bias mitigation
- MeSH terms
- Data Interpretation, Statistical, Epidemiologic Methods, Humans, Mathematics, Random Allocation, Models, Statistical, Selection Bias, Causality, Patient Selection, Behavioral Research, Propensity Score
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