Bayesian Hierarchical Model for Evaluating Yield Improvement in District Hospitals Systems, Tanzania

District hospitals in Tanzania face challenges in improving healthcare outcomes efficiently. A Bayesian hierarchical model was employed to assess the impact of interventions on yield measures within different districts. Uncertainty quantification was achieved through robust standard errors. The model revealed significant variation in intervention effectiveness across districts, with some yielding substantial improvements (20-30%). Bayesian hierarchical modelling provided nuanced insights into district hospital performance and highlighted the importance of tailored interventions. District health managers should prioritise targeted support based on local yield data to enhance healthcare delivery. district hospitals, yield improvement, Bayesian hierarchical model, Tanzania Treatment effect was estimated with $\text{logit}(p_i)=\beta_0+\beta^\top X_i$, and uncertainty reported using confidence-interval based inference.