There a a couple of studies on limited sets of countries and quality indicators, e.g. journals.sagepub.com/doi/10.1177/...www.tandfonline.com/doi/abs/10.1...www.tandfonline.com/doi/abs/10.1...journals.sagepub.com/doi/abs/10.1...;

You can find some more references to cross-national studies here: www.zora.uzh.ch/id/eprint/15...