If the committee just used my rankings to pick the best 64 teams for the tournament we would have:
Ranking | Team | Rating | Conference | Bracket |
1 | Johns Hopkins | 7.274983 | CC | C1 |
2 | Mary Washington | 6.404937 | CAC | A5 |
3 | Christopher Newport | 6.325505 | CAC | C5 |
4 | Franklin and Marshall | 6.058318 | CC | B9 |
5 | Washington and Lee | 5.861226 | ODAC | C13 |
6 | Amherst | 5.501767 | NESCAC | A1 |
7 | Calvin | 5.199598 | MIAA | D9 |
8 | Tufts | 4.758455 | NESCAC | C9 |
9 | Oneonta State | 4.453158 | SUNYAC | A16 |
10 | Messiah | 4.320247 | MACC | A13 |
11 | Catholic | 4.099097 | LAND | C4 |
12 | Chicago | 3.762664 | UAA | D1 |
13 | Oglethorpe | 3.74774 | SAA | C16 |
14 | Gustavus Adolphus | 3.743559 | MIAC | D16 |
15 | Montclair State | 3.642345 | NJAC | B12 |
16 | Roanoke | 3.604485 | ODAC | C8 |
17 | Connecticut College | 3.470335 | NESCAC | C3 |
18 | Centre | 3.367097 | SAA | B3 |
19 | Covenant | 3.305011 | USAC | |
20 | Kenyon | 3.293775 | NCAC | B13 |
21 | RPI | 3.273092 | LL | A9 |
22 | Middlebury | 3.271638 | NESCAC | A11 |
23 | Luther | 3.254263 | ARC | D5 |
24 | Ohio Wesleyan | 3.177396 | NCAC | D3 |
25 | Gettysburg | 3.162307 | CC | C15 |
26 | Claremont-Mudd-Scripps | 3.116905 | SCIAC | B5 |
27 | Eastern Connecticut | 3.067903 | LEC | |
28 | Hobart | 3.065598 | LL | B11 |
29 | Rowan | 3.020557 | NJAC | A7 |
30 | Haverford | 2.991523 | CC | |
31 | North Park | 2.965349 | CCIW | D13 |
32 | Babson | 2.905477 | NEWMAC | A15 |
33 | Williams | 2.82497 | NESCAC | |
34 | Texas-Dallas | 2.744419 | ASC | B8 |
35 | John Carroll | 2.74405 | OAC | B1 |
36 | Rutgers-Camden | 2.738131 | NJAC | |
37 | Loras | 2.688357 | ARC | |
38 | St. Mary’s (Md.) | 2.687594 | CAC | |
39 | Swarthmore | 2.626722 | CC | C7 |
40 | Ramapo | 2.61043 | NJAC | |
41 | Dickinson | 2.58952 | CC | |
42 | Stockton | 2.577122 | NJAC | |
43 | St. Thomas | 2.538851 | MIAC | |
44 | Buffalo State | 2.520615 | SUNYAC | |
45 | Ithaca | 2.439258 | LL | A3 |
46 | Texas Lutheran | 2.403701 | SCAC | B6 |
47 | Lynchburg | 2.39488 | ODAC | |
48 | Brandeis | 2.392352 | UAA | |
49 | WPI | 2.319292 | NEWMAC | C11 |
50 | Salisbury | 2.306771 | CAC | |
51 | Lycoming | 2.272534 | MACC | |
52 | Muhlenberg | 2.220837 | CC | |
53 | Colorado College | 2.193662 | SCAC | D15 |
54 | Hope | 2.144634 | MIAA | D4 |
55 | Wheaton (Ill.) | 2.138748 | CCIW | |
56 | Trinity (Texas) | 2.120328 | SCAC | B7 |
57 | Cortland State | 2.118712 | SUNYAC | |
58 | Clarkson | 2.086891 | LL | |
59 | York (Pa.) | 2.081022 | CAC | |
60 | Hardin-Simmons | 2.08095 | ASC | |
61 | Otterbein | 2.022242 | OAC | |
62 | North Carolina Wesleyan | 2.005021 | USAC | C14 |
63 | Pacific Lutheran | 1.965622 | NWC | D14 |
64 | TCNJ | 1.946055 | NJAC |
However, that is not the field. For each of the teams that isn’t in above there is a team below.
67 | Rochester | 1.876152 | UAA | B15 |
69 | Penn State-Behrend | 1.827617 | AMCC | B14 |
71 | Central | 1.810134 | ARC | D7 |
73 | St. Norbert | 1.797558 | MWC | D12 |
77 | UW-Whitewater | 1.746453 | WIAC | D10 |
82 | Ohio Northern | 1.67124 | OAC | D11 |
84 | Dominican | 1.639389 | NACC | D2 |
90 | Kalamazoo | 1.547191 | MIAA | B4 |
100 | UW-Superior | 1.432918 | UMAC | D8 |
103 | Keene State | 1.375216 | LEC | A4 |
113 | Salve Regina | 1.290587 | CCC | A8 |
118 | Johnson and Wales | 1.24872 | GNAC | A12 |
121 | Eastern | 1.224273 | MACF | C6 |
125 | Hanover | 1.16564 | HCAC | B16 |
153 | Nazareth | 0.993814 | E8 | C12 |
177 | Penn State-Harrisburg | 0.799206 | NEAC | B10 |
182 | Eastern Nazarene | 0.74991 | NECC | A10 |
183 | Keystone | 0.746116 | CSAC | A6 |
239 | Principia | 0.437721 | SLIAC | D6 |
244 | Framingham State | 0.428668 | MASCAC | A14 |
271 | SUNY-Maritime | 0.340043 | SKY | C10 |
281 | John Jay | 0.307107 | CUNYAC | C2 |
290 | Washington and Jefferson | 0.279083 | PrAC | B2 |
318 | Thomas | 0.203918 | NAC | A2 |
Note: the number is the position in the bracket, not the seed, because they don’t release them. Top of the bracket is 1, bottom is 16.
Looking at the rankings, the C bracket (upper right-hand quarter) is the quarter of death. Sorry Johns Hopkins.
Using the game network to predict the expected goal differential between the teams and give that as the starting score for the teams that are playing win-by-3 and are evenly matched. (This probably over estimates the chance of winning of an overmatched team.) From that we get a probability of reaching the next round. Mapping all those through the rounds we get the following which is sorted by the probability a team wins the tournament.
Team | Rating | Round2 | Round3 | Quarters | Semis | Finals | Champs |
Mary Washington | 6.404937043 | 0.833333333 | 0.578703704 | 0.35097308 | 0.236857347 | 0.148597862 | 0.089605638 |
Johns Hopkins | 7.274983394 | 0.833333333 | 0.555555556 | 0.318930041 | 0.195248038 | 0.139431118 | 0.0832919 |
Franklin and Marshall | 6.058317593 | 0.833333333 | 0.555555556 | 0.394375857 | 0.263525843 | 0.14902674 | 0.082383164 |
Christopher Newport | 6.325504994 | 0.833333333 | 0.555555556 | 0.321502058 | 0.186495449 | 0.12346918 | 0.074119963 |
Amherst | 5.501766596 | 0.833333333 | 0.555555556 | 0.323645405 | 0.182802802 | 0.114700892 | 0.064907047 |
Tufts | 4.758454969 | 0.833333333 | 0.601851852 | 0.312071331 | 0.146149661 | 0.090433794 | 0.05113775 |
Chicago | 3.762664173 | 0.833333333 | 0.486111111 | 0.344328704 | 0.204282804 | 0.097604577 | 0.050371973 |
Washington and Lee | 5.861225707 | 0.666666667 | 0.388888889 | 0.230452675 | 0.123509712 | 0.076424754 | 0.043769631 |
Calvin | 5.199598252 | 0.666666667 | 0.444444444 | 0.275720165 | 0.158639854 | 0.070865831 | 0.035938105 |
Messiah | 4.3202468 | 0.833333333 | 0.462962963 | 0.257201646 | 0.116428729 | 0.065806584 | 0.033052204 |
Oneonta State | 4.453158134 | 0.666666667 | 0.37037037 | 0.205761317 | 0.093460516 | 0.052890905 | 0.025700399 |
Middlebury | 3.271637718 | 0.666666667 | 0.37037037 | 0.189757659 | 0.089503393 | 0.046727957 | 0.022261032 |
RPI | 3.2730924 | 0.833333333 | 0.462962963 | 0.237197074 | 0.09451753 | 0.045749821 | 0.020258296 |
Gettysburg | 3.162306522 | 0.5 | 0.277777778 | 0.162894376 | 0.07350078 | 0.040430892 | 0.019464147 |
Rowan | 3.020556505 | 0.833333333 | 0.347222222 | 0.154320988 | 0.079303841 | 0.039139714 | 0.018024082 |
Luther | 3.254263107 | 0.833333333 | 0.486111111 | 0.208172582 | 0.10372488 | 0.040245403 | 0.017109705 |
Kenyon | 3.293775411 | 0.666666667 | 0.37037037 | 0.157750343 | 0.088044816 | 0.038294539 | 0.016903576 |
Centre | 3.36709744 | 0.666666667 | 0.37037037 | 0.185185185 | 0.083426476 | 0.036285821 | 0.015871781 |
Gustavus Adolphus | 3.743559249 | 0.5 | 0.277777778 | 0.164609053 | 0.087827835 | 0.034776048 | 0.015263726 |
Ohio Wesleyan | 3.177396319 | 0.5 | 0.263888889 | 0.156989455 | 0.083410742 | 0.032984108 | 0.014376609 |
John Carroll | 2.744049848 | 0.833333333 | 0.416666667 | 0.208333333 | 0.093330857 | 0.035904215 | 0.014093885 |
Connecticut College | 3.470335483 | 0.5 | 0.208333333 | 0.086805556 | 0.044643141 | 0.025982759 | 0.013112193 |
Oglethorpe | 3.747740361 | 0.5 | 0.222222222 | 0.130315501 | 0.051873703 | 0.028398588 | 0.01280325 |
North Park | 2.9653487 | 0.666666667 | 0.333333333 | 0.172839506 | 0.079214402 | 0.030735302 | 0.01249017 |
Rochester | 1.876152316 | 0.666666667 | 0.37037037 | 0.154320988 | 0.077398643 | 0.029775121 | 0.011429691 |
Montclair State | 3.642344664 | 0.5 | 0.194444444 | 0.105624143 | 0.058951746 | 0.025620252 | 0.011344802 |
Claremont-Mudd-Scripps | 3.116904505 | 0.5 | 0.25 | 0.135030864 | 0.060831806 | 0.026458411 | 0.011142763 |
Catholic | 4.099097002 | 0.5 | 0.208333333 | 0.086805556 | 0.042499794 | 0.023266782 | 0.010943298 |
Roanoke | 3.60448498 | 0.5 | 0.194444444 | 0.081018519 | 0.042986677 | 0.023645868 | 0.010660528 |
Ithaca | 2.439257735 | 0.666666667 | 0.277777778 | 0.115526406 | 0.055234797 | 0.025451659 | 0.010304505 |
Hobart | 3.065597856 | 0.5 | 0.194444444 | 0.105624143 | 0.05446924 | 0.023672168 | 0.010028498 |
Swarthmore | 2.626722443 | 0.5 | 0.194444444 | 0.081018519 | 0.035452548 | 0.019408723 | 0.009128672 |
Trinity (Texas) | 2.120328002 | 0.5 | 0.25 | 0.127314815 | 0.057035523 | 0.021187609 | 0.007982528 |
Colorado College | 2.193662015 | 0.5 | 0.25 | 0.121527778 | 0.055697627 | 0.017386217 | 0.006629934 |
Texas Lutheran | 2.403700682 | 0.5 | 0.25 | 0.127314815 | 0.051446944 | 0.018301119 | 0.006435191 |
WPI | 2.319291933 | 0.666666667 | 0.277777778 | 0.097736626 | 0.034851771 | 0.015767465 | 0.00641303 |
Texas-Dallas | 2.744418786 | 0.5 | 0.25 | 0.127314815 | 0.051446944 | 0.018301119 | 0.006329118 |
Hope | 2.144634205 | 0.5 | 0.194444444 | 0.107124486 | 0.050623299 | 0.015802247 | 0.005954483 |
Babson | 2.905477445 | 0.333333333 | 0.12962963 | 0.068415638 | 0.027262044 | 0.012581386 | 0.005148255 |
Central | 1.810133828 | 0.5 | 0.263888889 | 0.098958333 | 0.044931699 | 0.012592252 | 0.004207682 |
Kalamazoo | 1.547191179 | 0.333333333 | 0.185185185 | 0.084876543 | 0.032328377 | 0.011491132 | 0.003907422 |
Ohio Northern | 1.671239935 | 0.5 | 0.194444444 | 0.077417695 | 0.032795411 | 0.009191019 | 0.003129826 |
Pacific Lutheran | 1.965621718 | 0.333333333 | 0.138888889 | 0.059156379 | 0.023277229 | 0.006523518 | 0.002017794 |
North Carolina Wesleyan | 2.005021354 | 0.333333333 | 0.111111111 | 0.047325103 | 0.013525226 | 0.005209376 | 0.001869722 |
St. Norbert | 1.797557957 | 0.5 | 0.194444444 | 0.069315844 | 0.026574342 | 0.006098847 | 0.00168075 |
UW-Whitewater | 1.746452912 | 0.333333333 | 0.166666667 | 0.05941358 | 0.022778007 | 0.005227583 | 0.001440643 |
Keene State | 1.375215697 | 0.333333333 | 0.138888889 | 0.035472394 | 0.012169644 | 0.003589019 | 0.000976889 |
Hanover | 1.165639568 | 0.333333333 | 0.12962963 | 0.033607682 | 0.011755773 | 0.003153934 | 0.000862252 |
Penn State-Behrend | 1.827616563 | 0.333333333 | 0.12962963 | 0.033607682 | 0.011254424 | 0.003019428 | 0.000817527 |
UW-Superior | 1.43291836 | 0.5 | 0.194444444 | 0.050861626 | 0.015707844 | 0.003136322 | 0.000751403 |
Eastern | 1.224272895 | 0.166666667 | 0.055555556 | 0.019032922 | 0.004907265 | 0.001781678 | 0.000523943 |
Dominican | 1.63938922 | 0.166666667 | 0.055555556 | 0.023791152 | 0.008675387 | 0.001901234 | 0.00049143 |
Johnson and Wales | 1.248719604 | 0.333333333 | 0.12037037 | 0.024891404 | 0.005091456 | 0.001497946 | 0.000318359 |
Nazareth | 0.993814012 | 0.333333333 | 0.083333333 | 0.015432099 | 0.003090323 | 0.0008124 | 0.000186663 |
Salve Regina | 1.290586937 | 0.166666667 | 0.037037037 | 0.010116598 | 0.002674476 | 0.000786852 | 0.000186172 |
Penn State-Harrisburg | 0.799205714 | 0.166666667 | 0.055555556 | 0.015089163 | 0.004247708 | 0.000856408 | 0.000169838 |
Keystone | 0.746115856 | 0.166666667 | 0.037037037 | 0.009259259 | 0.002080281 | 0.000614707 | 0.000121584 |
Eastern Nazarene | 0.749909683 | 0.166666667 | 0.046296296 | 0.009287837 | 0.001666055 | 0.000295822 | 5.35E-05 |
Principia | 0.437720613 | 0.166666667 | 0.055555556 | 0.009773663 | 0.001838637 | 0.000249967 | 4.23E-05 |
John Jay | 0.307107234 | 0.166666667 | 0.027777778 | 0.004886831 | 0.000833186 | 0.000142761 | 2.41E-05 |
Framingham State | 0.428667576 | 0.166666667 | 0.037037037 | 0.007487426 | 0.000880937 | 0.000151047 | 1.91E-05 |
SUNY-Maritime | 0.340042594 | 0.166666667 | 0.037037037 | 0.003772291 | 0.000432727 | 7.34E-05 | 9.07E-06 |
Washington and Jefferson | 0.279083112 | 0.166666667 | 0.027777778 | 0.00462963 | 0.000504877 | 6.16E-05 | 5.93E-06 |
Thomas | 0.203917911 | 0.166666667 | 0.027777778 | 0.000685871 | 6.62E-05 | 8.18E-06 | 5.14E-07 |
If Hopkins can get to the Final Four, they are the favorite, but they have too many quality opponents in their quarter. Franklin and Marshall have the easiest to the the Final Four.
The network of games that only includes those in the tournament is fairly well-connected. I look forward to how the better national connectedness effects the rankings.