Anonymity is the practice of ensuring that an individual''s name is not directly associated with the information or measurements obtained from that individual. Keeping records anonymous is a
way to preserve the confidentiality of research participants.
Anonymity is guaranteed in a research project when neither the researchers nor the readers of the findings can identify a given response with a given respondent.
Other /More definition:
Anonymity when the Psychoanalysts present an anonymous front for the client, revealing nothing personal about themselves. With the therapist maintaining a blank slate, the client is free to project feelings from past relationships.