I have an interesting story with non-scientific medicine. Normally, I'm a very science-oriented person—"read the paper or it didn't happen." I will even avoid reading a news article about the paper; I'll just go and read the paper itself. The way I treat my illnesses and injuries is the same. That being said, I suffer a lot from sore throats—I will get some flu, get better in 3–4 days, and then my throat will hurt for weeks. In a particularly bad bout, I tried waiting for 2 weeks with no improvement. I almost couldn't swallow. I went to the doctor and was prescribed antibiotics. That resolved it in about 24 hours, and I completed the full course. Three weeks later, the same thing happened. I waited 2 weeks to see if it would resolve on its own, and when it didn’t—antibiotics again. Of course, the problem came back only weeks later.
So I thought—I'm going to try homeopathy. What's the worst that can happen? I'm in pain anyway. I decided to try a scientific approach (not very, given N=1), so again I waited 2 weeks to see if it was going to resolve itself. It didn’t. I went to a homeopathic doctor and got a bottle with some "magic." It took 3–4 days for the symptoms to improve, but they didn’t come back for months. When they did, I jumped straight to the homeopathic medicine, and it helped in the same way it did the first time around. I haven’t used antibiotics for my throat since.
I have no explanation for this. There have been hundreds or thousands of studies on homeopathy, and my reading is that the consensus is that it's "quack medicine." Yet it clearly worked for me, and it worked better than antibiotics for that particular issue. What gives?