The seminal paper of The originally coined Regression-Discontinuity Analysis, and nowadays widely known as the Regression Discontinuity (RD) design, is likely the most credible and internally valid quantitative approach for the analysis and interpretation of non-experimental data. Early reviews and perspectives on RD designs include
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Cattaneo et al. (2017) studied this question.
Synapse has enriched 3 closely related papers on similar clinical questions. Consider them for comparative context: