Numerous trials have been conducted that show a statistically significant positive outcome for homeopathic remedies on various conditions, despite the difficulty of testing something based on individual prescribing.  The bulk of RCTs are testing one substance's action on the symptoms of a specific disease diagnosed within a large number of people.  Such a "one size fits all" hypothesis is directly opposite homeopathic practice, where a remedy is prescribed individually on the basis of each person's particular symptoms and not the disease category they may or may not fall into.   Even so, various trials do show positive evidence of homeopathy's action.  Here are a few resources on RCT's of homeopathic remedies: www.library.nhs.uk (click on "homeopathy"), www.homeopathy-ecch.org and www.biomedcentral.com/1472-6882/1/12/.

When independent researchers reviewed various trials, their conclusion was "it became clear to us that using review criteria based on diagnostic classifications developed for assessing conventional medicine did not address the differing classification frameworks between homeopathy and conventional medicine." Jonas, Anderson, Crawford and Lyons, BMC Complementary and Alternative Medicine, 2001; 1: 12.   Therefore to more accurately assess the efficacy of homeopathic treatment, new and different methods of testing need to be developed.