Dealing With Missing Outcome Data in Randomized Trials and Observational Studies
Open accessAbstract
Although missing outcome data are an important problem in randomized trials and observational studies, methods to address this issue can be difficult to apply. Using simulated data, the authors compared 3 methods to handle missing outcome data: 1) complete case analysis; 2) single imputation; and 3) multiple imputation (all 3 with and without covariate adjustment). Simulated scenarios focused on continuous or dichotomous missing outcome data from randomized trials or observational studies. When outcomes were missing at random, single and multiple imputations yielded unbiased estimates after covariate adjustment. Estimates obtained by complete case analysis with covariate adjustment were unbiased as well, with coverage close to 95%. When outcome data were missing not at random, all methods gave biased estimates, but handling missing outcome data by means of 1 of the 3 methods reduced bias compared with a complete case analysis without covariate adjustment. Complete case analysis with covariate adjustment and multiple imputation yield similar estimates in the event of missing outcome data, as long as the same predictors of missingness are included. Hence, complete case analysis with covariate adjustment can and should be used as the analysis of choice more often. Multiple imputation, in addition, can accommodate the missing-not-at-random scenario more flexibly, making it especially suited for sensitivity analyses.
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Missing data will be imputed with multiple imputation techniques.
“Missing data will be imputed with multiple imputation techniques [58, 59].”
Some argue that using covariates yields similar results to imputing, but this may depend heavily on the dataset, and multiple imputation remains the solution of choice for missing data.
“Although some argue that using covariates yields similar results to imputing [67], this may depend heavily on the dataset, and multiple imputation remains the solution of choice for missing data [68].”
From Short-term effectiveness of web-based guided self-help for phobic outpatients: randomized controlled trial. (2014) · cites this paper as [67]
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- Authors
- Groenwold, R. H. H., Donders, A. R. T., Roes, K. C. B., Harrell, F. E., & Moons, K. G. M.
- Affiliations
- University Medical Center Utrecht (NL)
- Corresponding author
- Groenwold, Rolf H. H.
- Venue
- American Journal of Epidemiology
- Publisher
- Oxford University Press (OUP)
- Published
- 2011-12-23
- Volume
- 175
- Issue
- 3
- Pages
- 210-217
- ISSN
- 0002-9262 (ISSN-L)
- 1476-6256
- OpenAlex
- W2097395684
- Cited by
- 398
- References
- 37
- Citations by year
- 2026: 16 · 2025: 26 · 2024: 30 · 2023: 22 · 2022: 37 · 2021: 36 · 2020: 38 · 2019: 25 · 2018: 27 · 2017: 28 · 2016: 35 · 2015: 15 · 2014: 27 · 2013: 23 · 2012: 13
- FWCI
- 17.61
- Type
- journal article
- Language
- en
- Open access
- bronze
- doi.org
- Locations
- American Journal of Epidemiology (publishedVersion)
- PubMed (publishedVersion)
- Radboud Repository (Radboud University) (submittedVersion)
- Funders
- Vanderbilt University
- Radboud Universiteit
- School of Medicine, Vanderbilt University
- Topics
- Physical Sciences › Mathematics › Statistics and Probability › Statistical Methods and Bayesian Inference
- Physical Sciences › Mathematics › Statistics and Probability › Advanced Causal Inference Techniques
- Physical Sciences › Mathematics › Statistics and Probability › Statistical Methods in Clinical Trials
- Keywords
- missing outcome data, multiple imputation, single imputation, complete case analysis, missing at random, missing not at random, covariate adjustment, sensitivity analysis, observational studies, estimation bias
- MeSH terms
- Computer Simulation, Data Interpretation, Statistical, Humans, Models, Statistical, Randomized Controlled Trials as Topic, Outcome Assessment, Health Care
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