The hasty generalization is an informal fallacy in which an inductive generalization is made from a sample that is inadequate to support the generalization in the conclusion. As discussed in the post on inductive generalization, this may be because the sample is too small or biased.
Hasty generalizations often result from anecdotal arguments, which are short stories typically taken from the personal experience of the arguer. Generally, these anecdotal arguments describe only one or a few episodes which are then used to generalize about the population.
"Acupuncture works. My friend Tom tried it and he said it cured his back pain.".
"Smoking isn't harmful. My dad smoked a pack a day and lived until 95."
The Nizkor Project: Hasty Generalization
Fallacy Files: Hasty Generalization