Start by working out which of these you have.
Bait disappearing, trap not sprung. You are using too much. A pea-sized amount, pressed firmly into the trigger pedal or smeared just underneath it, so the rodent has to work at it rather than lick it off the surface. A generous smear lets it feed from the edge without ever putting weight on the pedal. This is the single commonest cause.
Bait untouched. Too few traps, or spaced too far apart. Wrong placement - traps go tight to the wall, at right angles to it, trigger end nearest the skirting, where you have found droppings, not out in open floor. Your scent on the trap, so wear gloves when setting. Or the rodent is wary of the trap itself, common with rats and with mice that have met traps before: leave traps baited but unset for two or three nights, then set them all on the same night. It is the step most people skip.
If placement and baiting are both right and a week still gives nothing, question the target rather than the method. Old droppings look much like fresh ones, so the activity may have moved on or already stopped - trap where you are finding fresh droppings, not where you first heard something. And scratching overhead isn't always rodents; squirrels and birds in a loft sound very similar and won't go near a rodent trap.