"False negative" in blood testing

No.13673487 ViewReplyOriginalReport
I wanna get into blood testing and I was telling my parents about it and my father said that they told him to actually not donate blood again because he had something about a false negative in his blood or whatever. It was so long he can't remember what exactly they told him but I was wondering what exactly a false negative in blood is because now that I have heard about it I would like to learn more about it an d Google search has been unhelpful so far.