2019 school aptitude tests for Italy out: north-south gap almost zero in primary school but higher (about 1 SD) at the end of secondary school. Increase with age like Black-White gap: support for environmental or hereditarian hypothesis? https://invalsi-areaprove.cineca.it/docs/2019/Rapporto_prove_INVALSI_2019.pdf …
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I guess by "level two units" you mean "provinces". If that's the case, then the answer is no.
https://en.m.wikipedia.org/wiki/List_of_administrative_divisions_by_country … The mission is to cover all of these with S factor/SES and IQish scores. Preferably at second level for much better precision and fewer MAUP issues.