You do not need to change the parimeter one by one.
In abaqus v6.7 manual Section 15.1.
It should show you how to change the parimeter with a few option like mesh, cross.
It allow you to change the parimeter in the order from x to y with increment of z.
Also you can have 50 different parimeter with the above and analysis all the combination by changing the type to mesh or cross (need to check the type).
In terms of resulting. I would write a python script to handel it.