This is true...Vaccines are not adlusted for weight however there are usually differences in dosing/formulations. There are a few vaccines that have "pediatric formulations" such as the DT.
There are also different Dtap's
http://us.gsk.com/products/assets/us_infanrix.pdf (6 weeks - 7 yrs)
https://www.vaccineshoppe.com/image....pe=product_pdf (given to people age 7 - 64 yrs)
but if you look at the ingredients for this vs the adult formulation the differences are fairly minute
http://www.seacoastmedical.com/Forms...fo/Decavac.pdf (Adult)
https://www.vaccineshoppe.com/image....pe=product_pdf (pediatric)
Other vaccines that have adult and pediatric formulations are the Hep B.
http://us.gsk.com/products/assets/us_engerixb.pdf
The adult formulation has twice the amount of aluminum (.50mg vs .25mg.)and twice the amount of antigen (.50mg vs .25mg.) The same is true for Hep A.
I believe the pediatric formulation is used for adolescents as well, so a 17yo 110pound kid) yr old kid will get the same amount of antigen and aluminum as a hrs old 6 pound infant.
For other vaccines given to both children and adults, it is all the same, no "pediatric" formulation or dosing. This is true for the MMR I believe and some flu shots as well.