Typically, when using my iphone4 on EDGE the whole I used to get about 24-36 hours. I did however switch to 3g when required to watch videos etc. Almost all push notifications are not enabled and WhatsApp is used continuously throuhout the day.
With the new 5s though, similar setup in terms of notifications and usage - however because its stuck on 3g I'm lucky to see 24 hours.
Have you tried a battery drain test to check how your 5S measures up against Apple's numbers? At least then you'd have a fairly good idea how your battery holds to their advertised numbers.
Talk time: Up to 10 hours on 3G
Standby time: Up to 250 hours
Internet use: Up to 8 hours on 3G, up to 10 hours on LTE, up to 10 hours on Wi-Fi
Video playback: Up to 10 hours
Audio playback: Up to 40 hours
Apple acknowledged battery issue There certainly were some initial problems with some of the devices produced by Apple, but that was primarily during October and was reported by Apple to affect a few thousand: the problems with those devices were much more severe, for example: failure to charge, maximum 11 hours on standby, ...
Signal quality (or more specifically bad signal quality) definitely has a role to play with battery duration, some thing which is quite often overlooked, basically your device ends up draining faster even when in standby, this happens because it's constantly hunting for a stable signal and faster connection. If you happen to be in an area where the LTE connection suffers from lower connection quality (frequency is greater near the edge of the signal area), you certainly will experience a lot more switching on and off of the LTE connection, these switches alone are quite taxing on your battery, as the GSM antennas are boosted to their maximum power output during times of connection seeking and negotiation. Here's a good write up on how LTE works and what to expect:
http://www.motorolasolutions.com/we...ealistic_LTE_Experience_White_Paper_FINAL.pdf
So your approach to try to switch off the LTE features (when you don't need it) in settings is always the best route to extend battery life (especially in cases where the LTE signal is unreliable), similarly consider turning off WIFI and Bluetooth when these are not needed or available.
Unfortunately there's no way to force your iPhone to stay on edge; which sounds like what you prefer.
New iOS 7 & 5S featuresThe other thing you have to note is that iOS7 and the 5S brings a whole new set of abilities ito the motion co-processor (M7). I.e. Apps can now, even in the background, constantly poll the M7 for updates on location, movement, etc. and these background activities could be a factor in reduce battery life. Through the settings panel you can easily identify which apps have been authorized for both scenarios.