We are not that far apart here.
Subjective experience was what I had in mind in reference to the medical research. But the real difference lies in someone telling you something, which is simply unreliable, and systematic collection of anecdotal evidence usually with controls of some kind that make anecdotal evidence of value.
First, the definition of 'evidence' includes anecdotes. Again, as with Piscivore and Beth only defining evidence in terms of what it is evidence for or of, you may be doing the same in reverse when you say an anecdote is not evidence. It is evidence. It may not be evidence OF the thing described in the anecdote. So in that sense it might be unreliable evidence, and it certainly isn't evidence of something, unless it turns out to be a valid anecdote. But it is correct to call something anecdotal 'evidence'.
Systematically collecting anecdotal evidence is most often used to evaluate subjective experiences such as pain. But really, anytime a study relies on subjects and controls to relate historical evidence of any kind, that is anecdotal evidence. So, for example, if I want to look at people who successfully lost weight and kept it off and compare them to people who tried to lose weight but were not successful, I might administer the same questionnaire to the two groups about what they did and compare the groups. That would be systematically collecting anecdotal evidence not related to subjective experience. What makes the data useful is having two groups to compare. If it turns out, as it does in the case I am using as an example, that the group who lost weight and kept it off did 3 things differently than the group failing to lose weight, and all the other answers in the questionnaire were answered similarly, then it is valid to conclude those three things were indeed relevant.
(BTW, the three things were, 1) weighing oneself daily, 2) counting calories consumed, and, 3) increasing one's activity level, (in particular, fidgeting more, walking more, and things which increased activity all around like taking the stairs rather than the elevator.)
So you can see that anecdotes themselves are not the problem. It is single anecdotes which are unreliable while systematically collected anecdotes with controls can be very useful evidence in some studies.
Interesting. Again, I don't think we really disagree here in terms of what can be considered evidence - we disagree as to why it is considered evidence.
A single anecdote, as you pointed out, is unreliable. As are a large number of anecdotes, if not collected systematically and controlled. However, I would still not call a single anecdote 'evidence', because there is no way to tell if it really is evidence at all. Any particular anecdote can be evidence for anything, and is therefore really evidence for nothing - and if something is evidence for nothing, can we really be justified in calling it 'evidence' at all?
To return to a slightly different point (which hopefully will better explain my position), think of the weight loss study you mentioned. The anecdotes were systematically collected through a questionnaire, controlled for, and analysed. No one would suggest that due rigor hadn't taken place, nor that the results were worthless or meaningless.
But the anecdotes, in a sense, existed before the participants filled out the questionnaire - they had already had the experience. Were a participant to have relayed their experience to another person prior to filling out the questionnaire, it would have been worthless as evidence - evidence for nothing, and so as I said above, not evidence at all.
And yet, a number of these worthless anecdotes, systematically collected in the right way, can produce meaningful results. Does this mean that the process of systematically collecting and controlling the anecdotes somehow changes their nature - that the anecdote itself becomes somehow meaningful in light of the study?
I would say no, and my reason is as follows: Say that a participant involved in the study tells a person his anecdotal experience after the completion of the study. Is the anecdote worth any more now than it was prior to the completion of the study? No - it would still be wrong to consider the anecdote evidence (again, as per above), as the only way to justify the anecdote would be in light of the study, and once one has the information from the study the anecdote is entirely irrelevant once again.
So if the anecdote cannot be considered evidence (as per above) either prior to the completion or after the study, what makes it valuable? The answer is not the anecdote itself, but instead the controlled systematic collection of the anecdotes! It is the data that exists after the anecdotes have been collected and controlled for that is the evidence, and not the anecdotes themselves. Only in conjunction with the methodology can we derive evidence from the anecdotes. Remove the methodology and the anecdotes are worthless.
It's a subtle difference in our positions - I hope I have managed to make myself clear.