TEAM | RATING | W-L | PYTH | RNK | EQPF | RNK | EQPA | RNK | SAWP | RNK |
1. TCU | .9009 | 9-0 | .929 | 1 | 41.7 | 14 | 7.5 | 1 | .736 | 3 |
2. Boise St | .8843 | 7-0 | .905 | 2 | 48.8 | 3 | 10.9 | 3 | .729 | 6 |
3. Oregon | .8597 | 8-0 | .870 | 5 | 56.7 | 1 | 16.0 | 20 | .713 | 8 |
4. Missouri | .8436 | 7-1 | .839 | 7 | 38.5 | 24 | 12.8 | 6 | .771 | 2 |
5. Ohio St | .8377 | 8-1 | .870 | 4 | 42.7 | 11 | 12.0 | 5 | .678 | 11 |
6. Auburn | .8370 | 9-0 | .787 | 16 | 47.7 | 4 | 19.9 | 44 | .831 | 1 |
7. Alabama | .8355 | 7-1 | .873 | 3 | 38.2 | 27 | 10.6 | 2 | .671 | 14 |
8. Utah | .8250 | 8-0 | .828 | 9 | 43.1 | 10 | 15.1 | 16 | .673 | 13 |
9. Nebraska | .8187 | 7-1 | .816 | 11 | 42.2 | 12 | 15.7 | 18 | .733 | 4 |
10. Iowa | .8109 | 6-2 | .862 | 6 | 39.4 | 22 | 11.6 | 4 | .663 | 16 |
11. Arizona | .8108 | 7-1 | .834 | 8 | 38.2 | 26 | 13.0 | 7 | .666 | 15 |
12. Oklahoma | .8009 | 7-1 | .805 | 12 | 45.8 | 6 | 17.8 | 32 | .693 | 9 |
13. LSU | .7989 | 7-1 | .786 | 17 | 33.0 | 45 | 13.8 | 9 | .725 | 7 |
14. Stanford | .7885 | 7-1 | .804 | 13 | 44.8 | 7 | 17.5 | 30 | .652 | 18 |
15. Michigan St | .7681 | 8-1 | .730 | 30 | 35.0 | 38 | 18.1 | 34 | .731 | 5 |
16. Florida St | .7676 | 6-2 | .819 | 10 | 40.9 | 20 | 14.9 | 13 | .610 | 24 |
17. Wisconsin | .7644 | 7-1 | .751 | 25 | 40.9 | 17 | 19.6 | 42 | .677 | 12 |
18. South Carolina | .7550 | 6-2 | .779 | 19 | 37.6 | 28 | 16.3 | 22 | .644 | 20 |
19. Virginia Tech | .7491 | 6-2 | .789 | 15 | 40.9 | 18 | 17.0 | 29 | .608 | 25 |
20. Oklahoma St | .7480 | 7-1 | .717 | 35 | 47.6 | 5 | 25.6 | 75 | .692 | 10 |
21. NC State | .7465 | 6-2 | .763 | 23 | 42.2 | 13 | 19.3 | 40 | .647 | 19 |
22. Arkansas | .7435 | 6-2 | .771 | 21 | 41.5 | 15 | 18.5 | 36 | .624 | 23 |
23. Hawaii | .7315 | 7-2 | .727 | 31 | 38.7 | 23 | 20.1 | 45 | .656 | 17 |
24. Miami FL | .7255 | 5-3 | .796 | 14 | 37.5 | 30 | 15.1 | 15 | .579 | 33 |
25. Illinois | .7241 | 5-3 | .776 | 20 | 32.6 | 47 | 14.2 | 10 | .607 | 26 |
Sports EQUALS Math and other sports musings involving numbers (mostly), non-numbers in disguise (whatever that means), and everything in between (uneducated subjective opinion)
Monday, November 1, 2010
Tuesday, October 26, 2010
Week 9 Computer Rankings
Along with SAWP, I have devised 9 other BCS compliant computer ranking methods. The following table gives the standings for Week 9:
TEAM | % | EWD | IW1 | IW2 | IW3 | J&E | MDC | MPR | RPI | RT2 | SWP |
1. Auburn | 1.000 | 1 | 1 | 1 | 5 | 1 | 1 | 1 | 1 | 1 | 1 |
2. Missouri | 0.945 | 2 | 2 | 2 | 3 | 2 | 2 | 3 | 3 | 3 | 2 |
3. Michigan St | 0.930 | 3 | 3 | 3 | 6 | 3 | 3 | 2 | 2 | 2 | 3 |
4. TCU | 0.860 | 7 | 5 | 4 | 2 | 4 | 5 | 5 | 4 | 4 | 5 |
5. Boise St | 0.820 | 4 | 6 | 5 | 7 | 5 | 6 | 4 | 5 | 7 | 6 |
6. Oklahoma | 0.760 | 5 | 4 | 7 | 11 | 12 | 4 | 8 | 9 | 8 | 4 |
7. Oregon | 0.735 | 10 | 12 | 6 | 1 | 6 | 13 | 6 | 6 | 5 | 10 |
8. LSU | 0.715 | 6 | 7 | 9 | 8 | 9 | 7 | 9 | 11 | 9 | 7 |
9. Ohio St | 0.675 | 8 | 11 | 10 | 15 | 8 | 8 | 10 | 7 | 10 | 8 |
10. Utah | 0.665 | 16 | 10 | 8 | 4 | 7 | 14 | 7 | 8 | 6 | 15 |
11. Alabama | 0.595 | 11 | 8 | 11 | 9 | 10 | 10 | 12 | 14 | 13 | 13 |
12. Oklahoma St | 0.535 | 12 | 14 | 12 | 18 | 14 | 9 | 16 | 10 | 12 | 11 |
13. Wisconsin | 0.525 | 14 | 13 | 13 | 13 | 11 | 17 | 14 | 13 | 11 | 12 |
14. Arizona | 0.510 | 9 | 9 | 14 | 14 | 15 | 12 | 11 | 17 | 17 | 14 |
15. Nebraska | 0.490 | 13 | 16 | 15 | 17 | 13 | 11 | 15 | 12 | 15 | 9 |
16. Stanford | 0.440 | 15 | 15 | 16 | 12 | 17 | 16 | 13 | 15 | 14 | 16 |
17. Florida St | 0.385 | 17 | 17 | 17 | 10 | 16 | 15 | 17 | 16 | 16 | 19 |
18. Nevada | 0.255 | 19 | 20 | 18 | 16 | 18 | 0 | 18 | 18 | 20 | 0 |
19. Mississippi St | 0.220 | 18 | 18 | 19 | 20 | 21 | 21 | 22 | 21 | 22 | 23 |
20. South Carolina | 0.185 | 0 | 21 | 20 | 0 | 25 | 19 | 21 | 20 | 19 | 17 |
21. Hawaii | 0.175 | 25 | 0 | 21 | 22 | 19 | 18 | 25 | 19 | 24 | 18 |
22. Iowa | 0.115 | 23 | 23 | 23 | 0 | 0 | 22 | 19 | 22 | 25 | 21 |
23. Arkansas | 0.105 | 22 | 22 | 22 | 0 | 0 | 23 | 24 | 23 | 23 | 24 |
24. Miami FL | 0.080 | 20 | 19 | 24 | 0 | 0 | 24 | 20 | 0 | 0 | 0 |
25. Virginia Tech | 0.070 | 21 | 0 | 0 | 21 | 20 | 0 | 0 | 0 | 0 | 22 |
Tuesday, March 23, 2010
Sweet Sixteen Log5 Table
Using the latest Relative Ratings, I decided to run one million simulations of the tournament starting at the Sweet 16. Below is a Log5 table displaying the results. The win odds are similar to the Vegas odds, though my ratings result in Duke being the favorite, whereas Vegas has Kentucky as the favorite at 3 to 1 odds.
Team | S16 | E8 | F4 | NC | Win |
Northern Iowa | 100.0% | 48.4% | 17.1% | 5.2% | 1.3% |
Michigan St | 100.0% | 51.6% | 19.0% | 6.1% | 1.6% |
Tennessee | 100.0% | 32.8% | 17.3% | 5.8% | 1.6% |
Ohio St | 100.0% | 67.2% | 46.7% | 23.4% | 10.0% |
Syracuse | 100.0% | 73.5% | 47.6% | 32.1% | 16.1% |
Butler | 100.0% | 26.5% | 10.7% | 4.7% | 1.3% |
Xavier | 100.0% | 36.8% | 12.4% | 5.6% | 1.7% |
Kansas St | 100.0% | 63.2% | 29.3% | 17.0% | 6.9% |
Kentucky | 100.0% | 79.7% | 49.7% | 21.8% | 12.2% |
Cornell | 100.0% | 20.3% | 6.2% | 1.1% | 0.3% |
Washington | 100.0% | 32.9% | 11.0% | 2.7% | 0.9% |
West Virginia | 100.0% | 67.1% | 33.1% | 12.5% | 6.1% |
Duke | 100.0% | 78.8% | 63.0% | 46.1% | 33.4% |
Purdue | 100.0% | 21.2% | 11.1% | 4.8% | 2.0% |
Baylor | 100.0% | 63.2% | 18.6% | 8.5% | 3.8% |
St Mary's CA | 100.0% | 36.8% | 7.4% | 2.5% | 0.8% |
Sunday, March 7, 2010
Bracketology: A First Attempt at Seedings (updated March 14th)
First some admissions: these seedings are based on a mixture of statistics, some of which the committee members use and some they probably do not. The result is that this bracket doesn't completely resemble others drifting around out there in the internet ether. However, one important statistic I use is predictive in nature, which means it is pretty good at guessing what will happen. So these seedings may not match what they would be if the season ended today, but are probably closer to what they will be when the conference tournament season is over. Still with me? Anyway, I have not applied bracket logic to these, so some of the lower seeds may be a spot off from what you may expect. Additionally, injuries have not been taken into account, which most notably affects Ohio St and Purdue. I have begun to make manual procedural bumps to more accurately reflect what I see as the likely seedings. Initially I wanted this to be a purely mathematical model, but then I decided that accounting for player injuries would be extremely difficult (I'd have to track injuries for every team who was in contention for an at large bid, discount the stats from that period a certain percentage based on that player's lost production, etc). I felt that a few manual seed changes were within the spirit of the exercise.
Updated through games of March 13th.
1. Kansas, Kentucky, Syracuse, Duke
2. West Virginia, Kansas St, Ohio St, Georgetown
3. Baylor, Villanova, Pittsburgh, Purdue
4. Wisconsin, New Mexico, Temple, Butler
5. Tennessee, Vanderbilt, Michigan St, BYU
6. Maryland, Texas A&M, Xavier, Richmond
7. Northern Iowa, California, Gonzaga, Marquette
8. Oklahoma St, Florida St, Notre Dame, Texas
9. UTEP, Clemson, UNLV, Louisville
10. St Mary's CA, Missouri, Utah St, Georgia Tech
11. Washington, Siena, San Diego St, Old Dominion
12. Cornell, Mississippi St, Wake Forest, Virginia Tech
13. Murray St, Wofford, New Mexico St, Sam Houston St
14. Oakland, Houston, Ohio, Montana
15. Vermont, Santa Barbara, North Texas, Morgan St
16. ETSU, Robert Morris, Lehigh, Winthrop, Ark Pine Bluff
Last Four In: San Diego St, Mississippi St, Wake Forest, Virginia Tech
Last Four Out: Minnesota, Arizona St, Memphis, Florida
Updated through games of March 13th.
1. Kansas, Kentucky, Syracuse, Duke
2. West Virginia, Kansas St, Ohio St, Georgetown
3. Baylor, Villanova, Pittsburgh, Purdue
4. Wisconsin, New Mexico, Temple, Butler
5. Tennessee, Vanderbilt, Michigan St, BYU
6. Maryland, Texas A&M, Xavier, Richmond
7. Northern Iowa, California, Gonzaga, Marquette
8. Oklahoma St, Florida St, Notre Dame, Texas
9. UTEP, Clemson, UNLV, Louisville
10. St Mary's CA, Missouri, Utah St, Georgia Tech
11. Washington, Siena, San Diego St, Old Dominion
12. Cornell, Mississippi St, Wake Forest, Virginia Tech
13. Murray St, Wofford, New Mexico St, Sam Houston St
14. Oakland, Houston, Ohio, Montana
15. Vermont, Santa Barbara, North Texas, Morgan St
16. ETSU, Robert Morris, Lehigh, Winthrop, Ark Pine Bluff
Last Four In: San Diego St, Mississippi St, Wake Forest, Virginia Tech
Last Four Out: Minnesota, Arizona St, Memphis, Florida
Sunday Housekeeping
I have decided that instead of creating a new post each time I want to update the rankings, every morning I will update the March 4th post with the current relative rating rankings and the March 6th post with the current SAWP rankings.
Also look for a Bracketology post in the next few days, which will also be updated daily in the same manner as described above.
Also look for a Bracketology post in the next few days, which will also be updated daily in the same manner as described above.
Saturday, March 6, 2010
Sooner Rather Than Later
Since I posted the Top 50 rankings for the Relative Ratings a few days ago, I figured maybe I should post the Top 50 SAWP rankings. As a reminder, the SAWP rating only uses win/loss and location as inputs, which is similar to the RPI. SAWP will typically correlate much closer to the human polls than will the Relative Ratings.
I am not a big fan of win/loss rating systems, because although they are a reasonable zero-sum look at what happened, they aren't typically helpful in identifying what will happen. And in the end, isn't that what the NCAA tournament committee's job is? They have a product to sell, after all, and the best product should consist of the best 64 games. If RPI isn't a good indicator of what will happen, then why is it one of the main factors in determining which teams make the tournament? And now off the soapbox, I'll post the rankings.
Updated through games of March 12th
Notes: The RPI rating shown may not precisely equal other sources. It is close enough that I am comfortable in providing it simply as a comparator to SAWP.
I am not a big fan of win/loss rating systems, because although they are a reasonable zero-sum look at what happened, they aren't typically helpful in identifying what will happen. And in the end, isn't that what the NCAA tournament committee's job is? They have a product to sell, after all, and the best product should consist of the best 64 games. If RPI isn't a good indicator of what will happen, then why is it one of the main factors in determining which teams make the tournament? And now off the soapbox, I'll post the rankings.
Updated through games of March 12th
Top 50 | Conf | W-L | SAWP | RPI/Rnk | SOS/Rnk |
1. Kansas | B12 | 31-2 | .7535 | .665 / 1 | .584 / 18 |
2. Kentucky | SEC | 30-2 | .7331 | .644 / 4 | .543 / 78 |
3. Syracuse | BE | 28-4 | .7256 | .650 / 2 | .585 / 17 |
4. West Virginia | BE | 26-6 | .7072 | .644 / 3 | .603 / 6 |
5. Duke | ACC | 27-5 | .7069 | .640 / 6 | .583 / 19 |
6. Purdue | B10 | 27-4 | .7026 | .621 / 9 | .536 / 92 |
7. Kansas St | B12 | 25-6 | .6991 | .642 / 5 | .610 / 3 |
8. New Mexico | MWC | 29-4 | .6990 | .617 / 11 | .526 / 114 |
9. Northern Iowa | MVC | 28-4 | .6898 | .602 / 23 | .501 / 164 |
10. Temple | A10 | 27-5 | .6895 | .611 / 15 | .531 / 104 |
11. Butler | HL | 28-4 | .6879 | .611 / 16 | .527 / 111 |
12. Baylor | B12 | 24-7 | .6811 | .622 / 8 | .582 / 21 |
13. Villanova | BE | 24-7 | .6807 | .617 / 12 | .564 / 43 |
14. Tennessee | SEC | 25-7 | .6784 | .616 / 14 | .568 / 40 |
15. BYU | MWC | 28-5 | .6774 | .598 / 24 | .504 / 157 |
16. Georgetown | BE | 23-9 | .6738 | .632 / 7 | .632 / 1 |
17. Pittsburgh | BE | 24-8 | .6737 | .620 / 10 | .589 / 13 |
18. Vanderbilt | SEC | 23-7 | .6721 | .611 / 17 | .566 / 41 |
19. UTEP | CUSA | 26-5 | .6703 | .594 / 29 | .510 / 140 |
20. Xavier | A10 | 24-7 | .6694 | .604 / 21 | .547 / 70 |
21. Ohio St | B10 | 25-7 | .6656 | .594 / 28 | .530 / 107 |
22. Utah St | WAC | 26-6 | .6644 | .590 / 32 | .520 / 121 |
23. St Mary's CA | WCC | 25-5 | .6615 | .590 / 33 | .506 / 152 |
24. Richmond | A10 | 25-7 | .6603 | .593 / 31 | .531 / 101 |
25. Maryland | ACC | 22-8 | .6602 | .606 / 18 | .575 / 30 |
26. Gonzaga | WCC | 25-6 | .6596 | .585 / 40 | .506 / 150 |
27. Cornell | Ivy | 25-4 | .6590 | .568 / 59 | .459 / 271 |
28. Texas A&M | B12 | 22-9 | .6563 | .616 / 13 | .606 / 5 |
29. Wisconsin | B10 | 23-8 | .6546 | .606 / 19 | .575 / 31 |
30. UNLV | MWC | 24-7 | .6543 | .586 / 38 | .516 / 128 |
31. Siena | MAAC | 27-6 | .6537 | .580 / 46 | .496 / 177 |
32. Murray St | OVC | 28-4 | .6524 | .553 / 76 | .425 / 318 |
33. Michigan St | B10 | 24-8 | .6522 | .596 / 25 | .549 / 65 |
34. Texas | B12 | 24-9 | .6490 | .595 / 26 | .549 / 66 |
35. San Diego St | MWC | 22-8 | .6460 | .586 / 39 | .542 / 79 |
36. Old Dominion | CAA | 26-8 | .6455 | .585 / 41 | .531 / 100 |
37. California | P10 | 23-9 | .6448 | .605 / 20 | .589 / 14 |
38. Oklahoma St | B12 | 22-10 | .6392 | .595 / 27 | .576 / 28 |
39. Rhode Island | A10 | 23-8 | .6376 | .584 / 43 | .533 / 98 |
40. Notre Dame | BE | 23-11 | .6367 | .587 / 37 | .561 / 49 |
41. Florida St | ACC | 22-9 | .6356 | .588 / 35 | .553 / 62 |
42. Virginia Tech | ACC | 23-8 | .6351 | .567 / 60 | .494 / 184 |
43. Louisville | BE | 20-11 | .6346 | .602 / 22 | .610 / 4 |
44. Marquette | BE | 22-11 | .6344 | .583 / 44 | .558 / 53 |
45. Missouri | B12 | 22-10 | .6341 | .584 / 42 | .552 / 63 |
46. Washington | P10 | 23-9 | .6325 | .580 / 45 | .532 / 99 |
47. Clemson | ACC | 21-10 | .6323 | .593 / 30 | .579 / 24 |
48. UAB | CUSA | 23-8 | .6304 | .579 / 48 | .530 / 106 |
49. Wichita St | MVC | 24-9 | .6285 | .572 / 55 | .519 / 123 |
50. Wofford | SC | 25-8 | .6265 | .545 / 86 | .459 / 269 |
Notes: The RPI rating shown may not precisely equal other sources. It is close enough that I am comfortable in providing it simply as a comparator to SAWP.
Thursday, March 4, 2010
A Return to March Madness
As my readership is extremely small to non-existent, I have failed to keep consistent with my posting. However, with March here and college basketball entering the conference tournament season, I wanted to post my Top 25 Top 50 rankings which are based on my week adjusted relative ratings.
Updated through games of March 21st
Note: Teams highlighted in red remain active in the NCAA tournament
Updated through games of March 21st
Top 50 | Conf | W-L | Pyth | AdjO/Rnk | AdjD/Rnk |
1. Duke | ACC | 31-5 | .9813 | 80.4 / 3 | 58.6 / 1 |
2. Kansas | B12 | 33-3 | .9808 | 82.2 / 1 | 60 / 4 |
3. Syracuse | BE | 30-4 | .9675 | 81 / 2 | 61.7 / 16 |
4. Kentucky | SEC | 34-2 | .9612 | 79.6 / 5 | 61.6 / 14 |
5. Ohio St | B10 | 29-7 | .9553 | 76.7 / 17 | 60.1 / 5 |
6. BYU | MWC | 29-6 | .9526 | 79.6 / 6 | 62.6 / 26 |
7. Kansas St | B12 | 27-7 | .9513 | 79.8 / 4 | 62.9 / 32 |
8. West Virginia | BE | 29-6 | .9488 | 77 / 15 | 60.9 / 10 |
9. Wisconsin | B10 | 24-9 | .9481 | 74.2 / 45 | 58.8 / 2 |
10. Baylor | B12 | 26-7 | .9399 | 78 / 10 | 62.6 / 25 |
11. Maryland | ACC | 23-9 | .9384 | 78.7 / 8 | 63.3 / 40 |
12. Texas | B12 | 24-10 | .9355 | 79.1 / 7 | 63.8 / 50 |
13. Missouri | B12 | 23-11 | .9340 | 77.4 / 11 | 62.6 / 27 |
14. Purdue | B10 | 29-5 | .9338 | 75.1 / 32 | 60.8 / 8 |
15. Georgetown | BE | 23-11 | .9277 | 76.5 / 18 | 62.4 / 23 |
16. Utah St | WAC | 26-8 | .9271 | 75.1 / 30 | 61.3 / 13 |
17. Clemson | ACC | 21-11 | .9247 | 75.9 / 24 | 62.1 / 21 |
18. California | P10 | 24-11 | .9223 | 77.1 / 14 | 63.2 / 38 |
19. Xavier | A10 | 26-8 | .9193 | 77.3 / 13 | 63.6 / 47 |
20. Butler | HL | 30-4 | .9152 | 73.9 / 56 | 61.1 / 12 |
21. Florida St | ACC | 22-10 | .9134 | 73.6 / 58 | 60.9 / 9 |
22. Texas A&M | B12 | 23-10 | .9132 | 74.9 / 38 | 62 / 20 |
23. Tennessee | SEC | 27-8 | .9128 | 75.7 / 25 | 62.7 / 29 |
24. Villanova | BE | 25-8 | .9096 | 78.6 / 9 | 65.3 / 84 |
25. Minnesota | B10 | 21-14 | .9091 | 75 / 37 | 62.3 / 22 |
26. Michigan St | B10 | 26-8 | .9067 | 75.1 / 31 | 62.6 / 28 |
27. Old Dominion | CAA | 27-9 | .9028 | 72.3 / 74 | 60.5 / 7 |
28. Pittsburgh | BE | 25-9 | .9015 | 73.7 / 57 | 61.8 / 17 |
29. St Mary's CA | WCC | 27-5 | .9012 | 76.3 / 20 | 63.9 / 53 |
30. Washington | P10 | 26-9 | .9010 | 77.4 / 12 | 64.8 / 71 |
31. Northern Iowa | MVC | 30-4 | .9007 | 71 / 99 | 59.5 / 3 |
32. Temple | A10 | 29-6 | .9000 | 71.7 / 83 | 60.2 / 6 |
33. UTEP | CUSA | 26-7 | .8988 | 75.5 / 26 | 63.4 / 42 |
34. Marquette | BE | 22-12 | .8982 | 75.1 / 33 | 63.1 / 34 |
35. Vanderbilt | SEC | 23-9 | .8960 | 76.8 / 16 | 64.6 / 65 |
36. Georgia Tech | ACC | 22-13 | .8955 | 75 / 35 | 63.1 / 36 |
37. Murray St | OVC | 29-5 | .8896 | 74.3 / 44 | 62.9 / 31 |
38. Memphis | CUSA | 24-10 | .8848 | 75.2 / 29 | 63.9 / 52 |
39. Virginia Tech | ACC | 24-8 | .8832 | 74.7 / 40 | 63.5 / 44 |
40. Arizona St | P10 | 22-11 | .8829 | 71.6 / 85 | 61 / 11 |
41. UNLV | MWC | 24-9 | .8793 | 74 / 51 | 63.1 / 37 |
42. Dayton | A10 | 21-12 | .8785 | 73.3 / 61 | 62.6 / 24 |
43. Louisville | BE | 20-13 | .8767 | 76.1 / 22 | 65 / 74 |
44. Mississippi | SEC | 23-10 | .8765 | 76.4 / 19 | 65.3 / 83 |
45. Mississippi St | SEC | 24-12 | .8760 | 74.2 / 47 | 63.5 / 43 |
46. New Mexico | MWC | 30-5 | .8717 | 75 / 34 | 64.3 / 62 |
47. Oklahoma St | B12 | 22-11 | .8628 | 74.8 / 39 | 64.6 / 64 |
48. Cornell | Ivy | 27-4 | .8628 | 74 / 52 | 63.9 / 51 |
49. Florida | SEC | 21-13 | .8618 | 74.2 / 46 | 64.1 / 58 |
50. San Diego St | MWC | 23-9 | .8603 | 72.6 / 70 | 62.8 / 30 |
Note: Teams highlighted in red remain active in the NCAA tournament
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