When you question whether anecdotal evidence can be generalized to all people, you are applying:

Critical thinking

Explanation:

Critical thinking is the ability of thinking that is based on analysis to make a reasonable decision.The judgement made out of critical thinking have a particular logic,evidence and facts behind it. Questioning the statements and facts are also a part of critical thinking.

According to the situation in question, raising questions and doubts about the anecdotal proof establishment and concluding it common among the people is taking place .As analyzation and questioning is happening before making final judgment, it states about critical thinking.

answer; radial motion;