I simple answer would be that as pipe size halved, the pressure losses increase by a factor of 16. That's because as velocity doubles, the pressure loss quadruples. (Quadruple the velocity equates to quadruple * quatruple to get pressure loss).
But the real answer for determining flow rates and pressure losses is to either look at pressure loss tables (such as the ones located in this PDF booklet:
http://www.hunterindustries.com/resources/pdfs/Technical/Domestic/LIT194w.pdf page 76) or run a program that can convert pipe size to flow rate and pressure loss.
Basically, pipe sizes are NOT exact. As a simple example, consider copper pipe. There is 3 types of copper pipe, Type "K", Type "L" and Type "M". A 1" copper pipe will have an outside diameter of 1.025" regardless of the type. That way, the same set of fittings can all be used on all three types of copper. But the primary difference between the types is the pipe wall thickness (K thickest, M thinnest). As the wall thickness increases, the inside diameter decreases. So there is a difference in the change of velocity (for a given flow rate) depending upon which type of copper you are using. However, the sizing of copper is such that the rules of thumb you are stating are rough values regardless of pipe size.
But PVC seems to be a whole different animal. I'm not sure where the sizing of PVC pipe comes from, but the difference between 1" PVC and 1/2" is a completely different factor than it is for copper, and the rules of thumb can throw things way off.
Example 1:
2" Sch40 PVC pipe carrying 34gpm will have a velocity of 3.5fps and a pressure loss of 1psi/100ft.
1" Sch40 PVC pipe carrying 34gpm will have a velocity of 13fps and a pressure loss of 25psi/100ft.
As expected, the velocity difference is 4 fold, but pressure difference is 25 fold.
Example 2:
1" Sch40 PVC pipe carrying 6pgm will have a velocity of 2.3fps and a pressure loss of 1psi/100ft.
1/2" Sch40 PVC pipe carrying 6gpm will have a velocity of 6.75fps and a pressure loss of 14psi/100ft.
The velocity difference is 3 fold (not 4), and the pressure difference is 14 fold.