Confirmation bias is so hard to overcome that there is a related model called the backfire effect that describes the phenomenon of digging in further on a position when faced with clear evidence that disproves it. In other words, it often backfires when people try to change your mind with facts and figures, having the opposite effect on you than it should; you become more entrenched in the original, incorrect position, not less.
Chapter:
Being Wrong Less
Section:
Progress, One Funeral At A Time