Doing a little number crunching and such on the NIT field, and there are some interesting things; one big one is clearly someone had an issue with the B1G.
I realize it's only one of a number of ranking systems, and not perfect, but it lays out quite well, so it's interesting to use it for this exercise. If you go look at the KenPom rankings right now, they have all teams that made the NCAA tournament in red, so the teams that didn't make it stand out pretty easily. If you start at the top rated KenPom team to not make the tournament; St. Mary's at 28, and count all the way down to Mississippi State at 62; you will count 15 teams that didn't make the tournament. Of those 15 teams, 13 made it to the NIT as a Top 4 seed (team that will get at least one home game). The only two that didn't? Maryland at 46 and Nebraska at 57, both B1G programs. Maryland didn't get in period, and Nebraska is a 5 seed. Not only that, but at least according to KenPom, Penn State is the second best team to not make the tournament at 29th, just below St. Mary's, yet St. Mary's got a 1 seed in the NIT and Penn State barely squeaked into the top half at a 4 seed.
When looking at Nebraska specifically, depending on which ranking system you look at, quite a few teams that rank lower got a higher seed in the NIT. In KenPom, 7 teams have a lower ranking than Nebraska (Oregon, Mississippi State, Stanford, Western Kentucky, Utah, LSU, Boise State) that have a higher seed. In the RPI, 10 teams have a lower ranking than Nebraska (Notre Dame, Marquette, Oregon, Penn State, Baylor, Mississippi State, Oklahoma State, Stanford, Utah, LSU) that have a higher seed. 5 teams (Oregon, Mississippi State, Stanford, Utah, LSU) rank lower in both systems, but have higher seeds. Those 5 teams also all have worse conference records, including one with a losing conference record (LSU) and one with an even record (Miss. St).
Then there is Maryland, who was skipped completely. Of the At-Large bids to the NIT, 4 teams made it in that ranked worse than Maryland in both RPI and KenPom (Okie State, Stanford, LSU and Boston College) and numerous other teams that made it in ranked worse in one system or the other.