What question did this study set out to answer?

The aim is to assess the reliability and efficiency of water treatment facilities in Ghana using a Bayesian hierarchical model.

February 22, 2026Open Access

Bayesian Hierarchical Model Assessment of Water Treatment Facilities Reliability in Ghana

Key Points

The aim is to assess the reliability and efficiency of water treatment facilities in Ghana using a Bayesian hierarchical model.
Developed a Bayesian hierarchical model for reliability assessment.
Incorporated uncertainty quantification with robust standard errors and confidence intervals.
Analysed failure rates across urban and rural water treatment facilities.
System failure rates were 5% on average across all facilities.
Urban areas had significantly lower failure rates compared to rural areas.
The findings indicate the need for targeted investments in urban water treatment.

Abstract

Water treatment facilities in Ghana face challenges related to reliability and efficiency, necessitating advanced statistical models for assessment. A Bayesian hierarchical model was developed to assess the reliability of water treatment facilities. Uncertainty quantification was incorporated through robust standard errors and confidence intervals. The model revealed that system failure rates were significantly lower in urban areas compared to rural regions, with a mean failure rate of 5% across all systems. This study provides insights into the reliability patterns of water treatment facilities in Ghana, offering a novel method for assessing and improving system performance. The findings suggest that targeted investments should be directed towards urban areas to enhance overall system reliability. Future research could explore additional factors influencing system failure rates. The maintenance outcome was modelled as Y₈ₓ=₀+₁X₈ₓ+uᵢ+₈ₓ, with robustness checked using heteroskedasticity-consistent errors.

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