Here's how i tested:
First, install the entire kit into your PC case as you would normally but make sure it is all EMPTY i.e. a dry install.
Once you're happy with the layout and installation carefully remove the entire loop (just unclip/unscrew the blocks from the mobo/vid card)
You'll now have a complete loop outside the case away from the computer!
Fill her up with your coolant (I use distilled water & water wetter) turn on the pump and let it run for 24 hours or more.
It might help to place blotting paper or some other paper which changes colour under the "joints" e.g. under the blocks, under the pump barbs etc. This way you can spot small leaks as well.
Once convinced there are no leaks either drain the system and install then refill, or if you're a bit brave, install it while full. Make sure the pump is off though! I installed mine exactly as above while full without any problems, after fixing some small leaks. Result: leak free installation!
You can use teflon/plumbers tape (called PTFE tape) to wrap around the barbs, then attach hose onto the barbs and to be extra safe use those round metal clips (Jubilee clips in the UK) to make sure it's on tight.
Finally if you want to make absolutely certain you can apply sealant around the connection. Silicon sealant is normally recommended but you could try other stuff depending on your tubing.
Take your time and test it for 24 hours continuous. If you get leaks, redo/tighten the connection, apply sealant if necessary then test it all again. Better to be safe than sorry!
Note: for leak sealing you could try Fernox LS-X it's like silicon sealant but designed to seal small active leaks i.e. sticks when wet - something silicon sealant won't do as far as I know.