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Regression Discontinuity Design: Simulation and Application in Two Cardiovascular Trials with Continuous Outcomes
Nikki van Leeuwen1, Hester F Lingsma, Anton J M de Craen
1From the aCentre for Medical Decision Making, Department of Public Health, Erasmus Medical Center, Rotterdam, The Netherlands; bDepartment of Gerontology and Geriatrics, Leiden University Medical Centre, Leiden, The Netherlands; cInstitute for Evidence-Based Medicine in Old Age, Leiden, The Netherlands; dDepartment of Neurology, Academic Medical Center, Amsterdam, The Netherlands; and eDepartment of Neurology, Radboud University Nijmegen Medical Center, Nijmegen, The Netherlands.
Regression discontinuity design offers an alternative to randomized controlled trials for evaluating treatment effects. However, it requires a global treatment effect assumption and may result in a substantial loss of precision compared to RCTs.
Area of Science:
- Epidemiology
- Biostatistics
- Clinical Trials
Background:
- Regression discontinuity design (RDD) is gaining traction as an alternative to randomized controlled trials (RCTs) for treatment effect evaluation.
- RDD assigns treatment based on a threshold of an assignment variable, adjusting the effect in analysis.
Purpose of the Study:
- To compare treatment effect estimates from RDD with those from RCTs.
- To assess the validity and precision of RDD in real-world validation studies.
Main Methods:
- Performed simulations and a prospective validation study using RCT data as a reference.
- Estimated treatment effects using linear regression (linear terms, restricted cubic spline) and local linear regression.
- Compared RDD estimates against established RCT findings for cardiovascular outcomes and total cholesterol.
Main Results:
- In one study, RDD with restricted cubic spline yielded a blood pressure reduction estimate (-5.9 mmHg) comparable to RCT (-4.0 mmHg), but with wider confidence intervals.
- Local linear regression in RDD revealed different, localized effects.
- RDD estimates for total cholesterol were similar to RCTs but significantly less precise (six times lower).
Conclusions:
- RDD can provide similar treatment effect estimates to RCTs but relies on a crucial assumption of a global treatment effect.
- Researchers must consider the trade-off between potential recruitment advantages and significant precision loss with RDD compared to RCTs.
- Potential bias due to incorrect assumptions is a key concern when employing RDD.
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