So what? Look, there are a lot of reasons why a cell phone battery drains fast. The aforementioned rogue app. Weak cell signal that causes it to reach out for heartbeat continuously. Weak wifi signal. Location services that are grinding away all day. Or perhaps you have a piece of bad hardware. But I will tell you that I unplug my iPhone 5 every morning around 5:15 AM. I use it almost non-stop all day long, and I still have a good charge on it when I plug it back in at around 6:45 PM, almost every day. There are also nights where I will unplug it and use it on my nightstand, and let it sit there all night long off the charger, after going to sleep listening to an audible book. The next morning it will still have anywhere from 88-92% left, and a quick charge will top it off for the day. I run Bluetooth constantly, have wifi on 24/7, don't disable any location services, and have my screen set to the brightest setting (old eyes
)
My 4S battery life got really bad right after I put 5 on it. But my 5 does great. I also know a bunch of people (approximately 20-25) who have iPhone 5s, and none of them are having problems with battery life.
Not sure who your carrier is, but think about this: If you are using a VZ phone on LTE now, you didn't have LTE on your 4s. Perhaps you get weak LTE signal where you spend most of your day, and it wastes a lot of battery trying to stay connected.
Also, since you pulled out the "scientific" metrics of the Apple forums as your smoking gun,
here's a little math for you:
Assuming that, of the 2358 posts on this forum, all of these were unique individuals, and that they each had a problem. That would mean that of the approximately 5,000,000 iPhone 5s in circulation, .0047% of the users were having battery problems.