Correction to: Scientific Data https://doi.org/10.1038/s41597-025-05687-1, published online 07 August 2025

In this article the following equations were included in the main body in error, \({\mathcal{N}}(0,{\sigma }_{\alpha })\,{\mathcal{N}}(0,{\sigma }_{\beta }){\sigma }_{\alpha },{\sigma }_{\beta }\, \sim \,\)\({{\mathcal{N}}}^{+}(1)\,.\,{\gamma }_{0}{\gamma }_{1} \sim {{\mathcal{N}}}^{+}(1)\,{\gamma }_{2}={\gamma }_{1}+\delta ,\) where \(\delta \sim {{\mathcal{N}}}^{+}(1)\) and \({P}_{{\rm{set}}}(k)=\frac{1}{{N}_{p}{N}_{t}}{\sum }_{i=1}^{{N}_{p}}{\sum }_{j\in {{\mathcal{T}}}_{{\rm{set}}}}{{\rm{logit}}}^{-1}({\widehat{\alpha }}_{i}-{\widehat{\beta }}_{j}+{\widehat{\gamma }}_{k})\) \({{\mathcal{T}}}_{{\rm{set}}}\) \({P}_{{\rm{set}}}{k.}\) The original article has now been corrected.