Using PS3 Fight Stick on PS2 (Adapter?)

Hi,

Long time lurker.
I've found ton's of PS2 -> PS3 adapters, but no PS3->PS2 adapters.

In other words, I'd like to use my Mad Catz TE stick on my PS2.
So it'll be a USB Female to PS2 Male correct?

Sorry if this is a dupe question. Any help would be great.

Thanks In Advance,
btanoue