But that still takes number 4 into #1 territory (Placebo effect). It's good to know that homeopathy is pretty much bunk as expected though - thanks for those links! I was rather confused when I first saw this article.
This team (and many other teams) of unfortunate researchers got caught up in a belief system that skewed their results. Ironically, the more skeptical one is of a particular belief, the deeper in love one will fall with it when it appears to be correct.