How about this?
INSERT OR IGNORE INTO EVENTTYPE (EventTypeName) VALUES 'ANI Received'
(Untested as I don't have SQLite... however this link is quite descriptive.)
Additionally, this should also work:
INSERT INTO EVENTTYPE (EventTypeName)
SELECT 'ANI Received'
WHERE NOT EXISTS (SELECT 1 FROM EVENTTYPE WHERE EventTypeName = 'ANI Received');