Stevens also worked as a basketball referee, officiating in the NIT and NCAA tournaments.
The NIT Season Tip-Off carries none of the postseason tournament's stigma, and is one of many popular season-opening tournaments held every year around the country (alongside events such as the Maui Invitational and the Great Alaska Shootout).
The Warriors have appeared in the NCAA Tournament three times under Wallace and have been invited to the National Invitation Tournament (NIT) on six occasions.
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During the postseason, the Cardinals played in the Conference USA Tournament and the National Invitation Tournament.
On October 20, 1951, former Kentucky players Alex Groza, Ralph Beard, and Dale Barnstable were arrested for taking bribes from gamblers to shave points during the National Invitation Tournament game against the Loyola Ramblers in the 1948–49 season.