I recently had a conversation about homeopathy with some family friends. I patiently explained the state of evidence as it stands currently, the extreme dilution levels and the placebo effect, the potential risks of relying on such treatments.
Even so, one of the people present gave an anecdote about how their son suffered from some kind of skin complaint and that no treatment helped until they visited a homeopath. The treatment cleared it up only for it to return after he stopped taking it (and go away again when he resumed taking it)
Later, I thought that it was very difficult to argue against this personal anecdote. I understand intellectually how such an anecdote may seem persuasive even though it is explainable through mixtures of placebo effect, coincidence, and of course extreme sampling bias. However, it would seem smug and tactless to confidently point out all the ways that they may have been so easily taken in.
What is your approach to arguing against personal anecdotes such as this?