Antisociable is not a word! I recently listened to a blues show and heard the host say this during his banter with the audience. The Urban Grammar Lady realizes that many older southerners were raised to speak a particular way that is not always grammatically correct.
No judgment here. Just know the correct phrasing.
Do not say unsociable or antisociable!
Correction: antisocial.
Example:
The lady at the party was antisocial and refused to talk to anyone.