Correction to: Humanities and Social Sciences Communications https://doi.org/10.1057/s41599-020-00674-w, published online 16 December 2020.

Equation 2 contained an error. The original equation read “ln Cht + Xhβ + εh”. The correct equation is “ln Cht = Xhβ + εh”. This has now been corrected in both the PDF and HTML versions of the Article.