iPhone 5s battery life

So I had the 5s for a week and battery life was excellent. I then managed to drop and break the phone and got a replacement one which I don't think its battery life as good. I set up the original one as new iphone and the replacement one as backup from iCloud. That's the only difference I can think of. Anyone has input as to whether this setup as backup could cause worse battery life or is it just the replacement phone?