District hospitals in Rwanda play a crucial role in providing healthcare services to underserved populations. However, their efficiency and effectiveness remain under scrutiny. The review synthesizes empirical studies that employ DiD models, focusing on methodologies and econometric techniques employed. Key criteria include study design, data sources, and outcomes analysed. A notable finding is the consistent use of pre-post comparisons to measure efficiency gains across different hospitals, with some studies reporting efficiency improvements up to 20% in resource allocation areas. The DiD model has shown promise for evaluating hospital performance but faces challenges such as data availability and external validity issues. Further research should explore longitudinal data to enhance the robustness of DiD analyses, while policymakers could use these findings to optimise healthcare resource distribution. Treatment effect was estimated with $\text{logit}(p_i)=\beta_0+\beta^\top X_i$, and uncertainty reported using confidence-interval based inference.