幻觉相关（其中人们相信即使两个变量之间都没有这种关系）也会导致信念的恒心。 例如，某人可能在一家商店与一名少年员工有过消极的经历，并且从那一件事开始，就确定所有少年都是懒惰和粗鲁的。 这种关系可能不存在，但是由于榜样在个人心目中很突出，因此他们将保持对所有青少年的信念。 最后，数据失真发生在人们不知不觉地为他们的信念提供确认机会的机会时，而忽略了他们的信念被证明不成立的时间。 因此，如果一个人认为所有青少年都是懒惰和粗鲁的，因此每当遇到一个少年雇员时，就会采取鼓励懒惰，粗鲁的举止的行为，那么他们最终会增强自己对青少年的信念。 同时，他们可能会忽略青少年充满活力和友善的情况。
Illusion-related (where people believe that even if there is no such relationship between the two variables) leads to the perseverance of belief. For example, someone may have had a negative experience with a young employee in a store, and from that point on, make sure all teenagers are lazy and rude. This relationship may not exist, but because the role models are prominent in the minds of individuals, they will maintain a belief in all young people. Finally, data distortion occurs when people unknowingly provide opportunities for confirmation of their beliefs, ignoring the time when their beliefs prove to be unsuccessful. Therefore, if a person thinks that all teenagers are lazy and rude, whenever they encounter a young employee, they will take actions that encourage laziness and rude behavior, and then they will eventually enhance their belief in the youth. At the same time, they may ignore the youthful and friendly situation of teenagers.