There are other vaccines which increase the rate of Type 1 Diabetes too, but for now let's look at the Hib
Association between type 1 diabetes and Hib vaccine
http://www.ncbi.nlm.nih.gov/pmc/articles/PMC1116914/
"Furthermore, the potential risk of the vaccine exceeds the potential benefit. We compared a group that received four doses of the vaccine, a group that received one dose, and a group that was not vaccinated. The cumulative incidence of diabetes per 100 000 in the three groups receiving four, one, and no doses of the vaccine was 261, 237, and 207 at age 7 and 398, 376, and 340 at age 10 respectively."