New DDR3 Memory for Mac Mini
You didn't actually specify the model of your Mac Mini, but by going off the data from here, I think you have the mid 2011 model (Mac Mini 5,1).

If that is correct, then Apple's technical specifications on this model confirm that the Mac Mini uses 1,333 MHz DDR3, up to 8 GB (4 GB x 2).

HOWEVER, that memory that you linked to is "DESKTOP" MEMORY, a DIMM (dual in-line memory module). The Mac Mini uses "laptop" memory, SODIMMs (small outline dual in-line memory module).