Typically the threshold for most people to be able to tell the difference in terms of dB is 1-3dBFS, depending on factors like age, hearing sensitivity, etc.
Perception of loudness isn't linear, so this is a really tricky question to answer.
I'd say though if you're trying to make scientific claims, then you need as much accuracy as possible. If you're just titting about at home, then just use your ears.
You can get a decent SPL meter for around £140/$150.
As I said before in the thread, when I match levels with my ears, I can still hear and feel a difference between the Axe3 going into a Seymour Duncan Powerstage, versus my Diezel VH4 - both into the same cab. Although honestly, I'm pretty confident that the Powerstage isn't the amp for me. I wanna try a class AB poweramp or one of the QSC ones that Cliff mentioned before.