This challenge arose from pondering how to identify and exclude sociopathic elements from positions of authority. Such tests have been described, and the current rash of ‘populist’ politicians suggests such a measure is desirable.
There are pitfalls, as Ursula LeGuin’s tale “SQ” (in “The Compass Rose”) suggests. The psychometric tests she describes for identifying insanity are refined and extended to include the entire population (bar the testers.)