Fig. 1: Overview of our hierarchical Bayesian approach where \({\{\alpha \}}_{| {\bf{Z}}| }^{| {\bf{X}}| }\) and \({\{\beta \}}_{| {\bf{X}}| }^{N\in \{J,K\}}\) are the coefficient sets of for attributes (\({\bf{Z}}\in {{\mathbb{R}}}^{| {\bf{Z}}| }\)) and predictors (\({\bf{X}}\in {{\mathbb{R}}}^{| {\bf{X}}| }\)).
From: Inferring failure risk of on-site wastewater systems from physical and social factors

The full hierarchical Bayesian formulation is formalized in “Methods”.