  The COVID-19 pandemic was responsible for the cancellation of both the men's
and women's 2020 National Collegiate Athletic Association (NCAA) Division 1
basketball tournaments. Starting from the point at which the Division 1
tournaments and any unfinished conference tournaments were cancelled, we
deliver closed-form probabilities for each team of making the Division 1
tournaments, had they not been cancelled, aided by use of conformal predictive
distributions. We also deliver probabilities of a team winning March Madness,
given a tournament bracket. We then compare single-game win probabilities
generated with conformal predictive distributions, aptly named conformal win
probabilities, to those generated through linear and logistic regression on
seven years of historical college basketball data, specifically from the
2014-2015 season through the 2020-2021 season. Conformal win probabilities are
shown to be better calibrated than other methods, resulting in more accurate
win probability estimates, while requiring fewer distributional assumptions.
