Big West Tournament Big West Trivia: The conference can claim one NCAA championship from 1990 when UNLV was a member and, under Jerry Tarkanian, the Running Rebels beat Duke 103-73 (which is, I think, the largest margin of victory in NCAA men's basketball tournament history). For what it's worth, the other Big West members back then were UCSB, Fresno State, Long Beach State, UCI, Cal State Fullerton, Pacific, San Jose State, New Mexico State and Utah State. From 1983 to 1991, if I figured this right, there were at least three years when teh Big West got more than one NCAA invitation, thanks to UNLV.