Community health centers in Uganda have been established to improve access to healthcare services, particularly for rural and underserved populations. Multilevel regression analysis was employed to assess the impact of various factors on healthcare outcomes within these centers, accounting for both patient-level and organisational-level variables. A significant proportion (p < 0.05) of variance in health service utilization rates could be explained by multilevel models, indicating that contextual factors play a crucial role in risk reduction strategies. The findings suggest that integrating community-specific interventions into healthcare delivery can effectively reduce certain risks associated with accessing medical services. Health policymakers should prioritise the implementation of targeted health promotion programmes and infrastructure improvements to enhance the performance of community health centers. Community Health Centers, Multilevel Regression Analysis, Risk Reduction, Healthcare Access Treatment effect was estimated with $\text{logit}(p_i)=\beta_0+\beta^\top X_i$, and uncertainty reported using confidence-interval based inference.