Methodological Evaluation of District Hospitals Systems in Nigeria: Multilevel Regression Analysis for System Reliability Assessment

Nigeria's healthcare system faces significant challenges, particularly in district hospitals where service delivery is often inadequate. A multilevel regression model was employed to analyse data from district hospitals across Nigeria. The model accounts for both individual-level (e.g., staff numbers) and area-level (e.g., geographic location) influences on system reliability. The analysis revealed that a higher proportion of adequately trained staff correlated with better patient flow efficiency, suggesting an important factor in enhancing healthcare system performance. This study provides insights into the effectiveness of current district hospital systems and identifies key areas for improvement through targeted interventions. District health authorities are encouraged to invest in training programmes for healthcare personnel and implement strategies to optimise resource allocation. Treatment effect was estimated with $\text{logit}(p_i)=\beta_0+\beta^\top X_i$, and uncertainty reported using confidence-interval based inference.