Wichita State is in the Missouri Valley Conference. They were listed as being in the South Regional in the 2012 NCAA tournament.
A team automatically qualifies for the NCAA Tournament by winning their Conference Tournament except for the Ivy League. Their regular season champion advances because they do not have a conference tournament.
The Ivy League also sends the regular season champion, as the conference has no tournament to end the season.
The number of NCAA tournament wins by conference overall is led by the Big East. Coming a close second is the Atlantic Coast Conference and then after them is the Big 12.
An at large bid is awarded to a team that makes the NCAA Tournament, but did not win their Conference Tournament.
win conference tournament or get an at-large bid
The winner (and loser) of the NCAA Men's Basketball Tournament will have played 6 games in the tournament.
if they win their conference they are in
The record is 11 teams. The Big East conference sent 11 teams to the NCAA Tournament in 2011.