wollery
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Sorry. I meant "case report," not "case history." Wikipedia states that "n medicine, a case report is a detailed report of the symptoms, signs, diagnosis, treatment, and follow-up of an individual patient."
Such a case report, if used as evidence to support a hypothesis of the effectiveness of a treatment would be anecdotal. Say a doctor has a hypothesis that a treatment causes improvement in a disease, say hypertension. The doctor checks one hypertension patient's blood pressure, perhaps over several visits; then gives the patient the treatment; then checks the patient's blood pressure, perhaps again several times; and the doctor finds that the patient's blood pressure has decreased. The doctor writes up the case report and gets it published in The New England Journal of Medicine. The report is anecdotal evidence that the treatment worked. It's completely uncontrolled: the improvement cannot be ascribed to the treatment with anything near the degree of confidence required by the customary standards of medicine.
Certainly, such a case report would have some evidential value for the hypothesis, but the evidence is anecdotal, at least as the term is usually used in medicine. Here you will find a compilation of the definition of "anecdotal" from various medical dictionaries. The majority of the medical dictionaries define the term as meaning data from a single case in contrast with a formal controlled study.
In which case the medical profession are using anecdotal in a different sense to the rest of the scientific community.