The plural of anecdote is not data. This is something you often hear from people with a scientific mindset or technical background. Too often, they warn us, we fall into the trap of overrating the importance of an event, especially if it happened to us. Because of that close connection, we tend to think it would be representative - that it's something that happens to others, too, and that we can draw conclusions from it.
In a way, this is the dark side of storytelling. We must not give in to it.