Anecdotal Evidence Fallacy
Substituting personal experience for logical evidence.
Why isn't a real story good evidence?
A single experience is an unrepresentative sample. Generalizing from it inflates an argument’s strength beyond what the data supports.
My grandfather smoked a pack a day and lived to 95, so smoking can’t be that bad.
Redressing the fallacy
The personal experience is not in question, but the inference drawn from it is. Care must be given to how samples are selected and what we can justifiably conclude.