The Institute of Health Metrics have estimated mean number of years in school for men and women in different age-groups for almost all countries.
The methods used for these estimates are well-documented. This data reveal that there is no correlation between educations level in counatries and the % of adults living with HIV www.bit.ly/aI39Ql
You find these indicators in Gapminder World under Category Education and subcategory Mean years at School!