Changing someone's mind has much more to do with the other person's personality than with your argument. A very small fraction of the population is open-minded and secure enough to admit to being wrong. Most people have great difficulty admitting they're wrong because they've effectively been punished all their lives for being wrong, e.g., bad grades, failing tests, admonishment, etc. So, it's an irrational thing. Even if you have a good argument backed up with facts and data, it matters little. You persuade, not with facts and figures, but with charisma, emotion, and psychology. If you're good at this, it can be done even when you're the one who's wrong. Just look at successful politicians.