Community health centres in South Africa face challenges in delivering consistent healthcare services, leading to inefficiencies and suboptimal patient outcomes. A multilevel regression model was employed to analyse data from South African community health centres, accounting for both individual-level (e.g., patient demographics) and organisational-level factors (e.g., staffing levels). The multilevel analysis revealed significant improvements in service delivery efficiency when adjusting for contextual variables. Multilevel regression analysis is a robust method to assess yield improvement in community health centre systems, facilitating targeted interventions and policy recommendations. Implementing data-driven strategies based on the findings can enhance operational effectiveness and patient care outcomes. Community Health Centres, Multilevel Regression Analysis, Yield Improvement, South Africa Treatment effect was estimated with $\text{logit}(p_i)=\beta_0+\beta^\top X_i$, and uncertainty reported using confidence-interval based inference.