I'm only a two week owner of the Amaze, but I've found curious differences between the stock battery and the Anker (1900 mAh). First, the stock battery will remain at 100% for a fair length of time before starting to drop (sorry, I haven't quantified it, but it's easily half hour to 45 mins even after making a call or two). However, the Anker battery drops off of 100% pretty quickly, as little as 10 minutes without doing anything. Admittedly, I've cycled the stock battery a few more times than the Anker, and even Anker says it takes 4 to 5 full charge and discharges to reach best performance, but I don't recall the stock being that quick to drop even after the 1st full charge. I haven't used the Anker enough yet to have a feel of whether the Anker will last longer overall, though.
Off topic, but somewhat related - The Anker charger doesn't seem to charge the battery to a full 100% - either the Anker battery or the original. In both cases, as soon as I install the battery from the Anker charger, the Amaze meter indicates just 96%. I even left it plugged in for another hour after the light turned blue, but it didn't help. Not a biggie, just an observation.
BTW, I got this from someone else who had already posted it, but according to a Google Engineer it seems that resetting battery statistics doesn't help. Read about it here:
http://www.androidcentral.com/wiping-battery-stats-doesnt-improve-battery-life-says-google-engineer