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Regression Discontinuity (RD) designs are often seen as a flexible alternative to randomized designs because they allow some degree of control in terms of the treatment assignment while maintaining a rigorous basis for inference on local treatment effects. However, recent literature has noted that the RD designs have not been well adapted for the type of complex designs frequently observed in contemporary research. An important gap in the RD literature is its application to partially nested structures. In this study, we advance RD designs for an array of partially nested structures by formulating models, developing principles of estimation, sampling variability, and inference as well as expressions to estimate the statistical power to detect the main effects.