Being popular generally means having a lot of friends and being in demand, so not being invited to a party that a friend is throwing could imply the opposite and make someone feel unpopular.
Consider the statement "My friend Karl had a party, he invited a lot of people and I was not invited.". Based on this "I feel so popular that my friend Karl had a party and I wasn't invited" a true statement? Yes, no, or I don't know?