The loop-back test is a sort of troubleshooting procedure to check if the serial communication between the PC and Arduino board is working in n a right order.
Actually I have tried this with my Arduino uno R3 clone but the method is same for the original board too.
Disconnect power from the board.
Also remove all connections and shields from the board.
Open Arduino IDE .
Start terminal application like serial monitor after selecting your port.
Send data by typing.Whatever you write should be echoed back.
If exactly what you write is echoed back then the board passes the test.And so the host computer hardware driver,USB cable,and USB to serial converter are all working.
If nothing is echoed back,check:
* You have the correct com port.
* Try a different cable.Some cheap USB cables only have power wires and not data wires.
* Check the device driver for the Arduino is installed .