It depends if are as anal as I am, and which direction the Cabinet is wobbling.
I would Use Wood Glue and make a Frame Inside the entire cabinet, bottom, top, sides, front, back. Kinda like an Skeleton.
Small Nails would probably losen eventualy if nailed to particle board.
Screws can Crack the wood, unless you make pilot holes.
Using Wood glue would do the trick in this case.
Unless you want to use the ancient Egyptian mortise-and-tenon technique.
