If the RPI was mathematically sound

Or at least as sound as it gets, this is what the numbers would look like:

Some notes: I used the Strength of Schedule as generated by the current RPI formula. At that point, the math is (A*B)/(1+2*A*B-A-B) where A is the team’s win% and B is the team’s SoS. The methodology as good as it gets with the RPI, but there are still two issues: 1. The strength of schedule is still incorrect due to using an average, instead of taking each game as a separate event. 2. The strength of schedule is also incorrect since we are using opposing win %’s (and opponent’s opponents win%). It’s better to use an actual power rating. I use the KenPoms, but there are other sane power ratings out there.

Rank Team Record Mathematically sound RPI
1 Kentucky 27-0 1
2 Virginia 25-1 0.9721
3 Gonzaga 27-1 0.9704
4 Villanova 25-2 0.9454
5 Wisconsin 25-2 0.9441
6 Northern Iowa 26-2 0.932
7 Duke 24-3 0.9222
8 Arizona 24-3 0.9164
9 Wichita State 24-3 0.9014
10 Kansas 22-5 0.8894
11 Notre Dame 24-4 0.8673
12 Maryland 22-5 0.8552
13 Utah 20-5 0.8488
14 Arkansas 22-5 0.8415
15 Southern Methodist 21-5 0.8385
16 Colorado State 22-5 0.8362
17 Valparaiso 22-4 0.8314
18 Iowa State 20-6 0.8308
19 VCU 21-6 0.8292
20 Murray State 22-4 0.8245
21 Louisville 21-6 0.8174
22 West Virginia 21-6 0.8135
23 San Diego State 21-6 0.813
24 Stephen F. Austin 19-4 0.808
25 UC Davis 19-4 0.8054
26 Iona 23-6 0.7985
27 Baylor 19-7 0.7958
28 Dayton 20-6 0.7867
29 Wofford 21-6 0.7855
30 North Carolina 19-8 0.7827
31 Old Dominion 20-6 0.7798
32 Tulsa 19-6 0.777
33 Harvard 17-5 0.7763
34 Oklahoma 19-8 0.7752
35 Providence 19-8 0.7687
36 Butler 19-8 0.7663
37 Georgetown 18-8 0.7622
38 Texas A&M 19-7 0.7618
39 Davidson 18-6 0.7583
40 Central Michigan 17-5 0.758
41 Sam Houston State 18-5 0.7553
42 Rhode Island 18-6 0.7546
43 Michigan State 19-8 0.7537
44 Wyoming 19-6 0.7486
45 Boise State 18-7 0.7478
46 St. Mary’s 19-7 0.7478
47 Ole Miss 19-8 0.7447
48 Louisiana Tech 20-7 0.7431
49 Texas-El Paso 19-7 0.7426
50 Green Bay 19-7 0.7421
51 Ohio State 19-8 0.7354
52 Oregon 19-8 0.7347
53 Temple 19-9 0.7302
54 LSU 19-8 0.7285
55 Indiana 19-9 0.7279
56 Brigham Young 19-8 0.7249
57 North Carolina Central 18-6 0.7161
58 Eastern Washington 17-7 0.7135
59 Xavier 18-10 0.7116
60 Cincinnati 18-9 0.7087
61 Georgia 17-9 0.7076
62 High Point 18-7 0.7076
63 Florida Gulf Coast 18-7 0.704
64 Buffalo 17-9 0.7029
65 St. John’s 17-9 0.7014
66 South Dakota State 19-8 0.6995
67 Stanford 17-9 0.6985
68 Purdue 18-9 0.6984
69 Yale 17-8 0.6963
70 Oklahoma State 16-10 0.696
71 Toledo 18-9 0.6954
72 Georgia State 18-8 0.6953
73 Bowling Green 17-7 0.6935
74 Kent State 18-8 0.6929
75 Pittsburgh 17-10 0.6927
76 Texas 17-10 0.6896
77 Georgia Southern 16-6 0.6844
78 Iowa 17-10 0.6795
79 Illinois 17-10 0.6762
80 Albany 19-8 0.6753
81 Massachusetts 16-11 0.6679
82 North Dakota State 18-8 0.6666
83 Miami (Fla.) 17-10 0.6656
84 North Carolina State 16-11 0.6584
85 Northeastern 19-10 0.6581
86 Syracuse 17-10 0.6568
87 Chattanooga 18-9 0.6545
88 Evansville 18-9 0.6544
89 Memphis 17-10 0.6528
90 UCLA 16-12 0.6495
91 George Washington 17-10 0.6439
92 Coastal Carolina 16-8 0.638
93 Sacramento State 16-8 0.6358
94 Oregon State 16-10 0.633
95 Rider 19-10 0.6306
96 Radford 17-9 0.6299
97 St. Francis (N.Y.) 19-9 0.6275
98 William & Mary 15-10 0.6273
99 New Mexico State 17-10 0.626
100 Illinois State 16-11 0.6247
101 Stony Brook 17-10 0.6234
102 Alabama 15-11 0.6191
103 Connecticut 15-11 0.6171
104 California 16-11 0.6158
105 Belmont 17-10 0.6118
106 Seton Hall 15-12 0.6115
107 Washington 15-11 0.6082
108 Richmond 15-12 0.6073
109 Louisiana-Monroe 14-9 0.6072
110 Akron 16-10 0.6053
111 Incarnate Word 12-7 0.6051
112 Clemson 15-12 0.601
113 Arizona State 15-12 0.599
114 La Salle 15-12 0.5986
115 Charleston Southern 15-9 0.5978
116 James Madison 18-11 0.5971
117 UC Irvine 14-10 0.5944
118 Minnesota 15-12 0.5929
119 TCU 16-11 0.5903
120 Tennessee 14-12 0.5892
121 Western Kentucky 14-10 0.5873
122 UNLV 14-12 0.5793
123 Utah State 15-10 0.5784
124 Hofstra 18-11 0.5777
125 Western Michigan 14-11 0.5749
126 Lafayette 15-11 0.5731
127 UT Martin 15-10 0.5703
128 Bucknell 16-12 0.5703
129 Eastern Kentucky 14-10 0.5697
130 NC-Wilmington 15-11 0.5697
131 St. Bonaventure 14-11 0.5687
132 Cleveland State 15-12 0.5686
133 Michigan 13-13 0.5668
134 Florida State 15-13 0.5666
135 Penn State 15-13 0.5658
136 Hawaii 16-11 0.564
137 Florida 13-14 0.561
138 Vanderbilt 14-12 0.5609
139 South Carolina Upstate 16-9 0.5598
140 Portland 14-12 0.5576
141 Montana 14-10 0.5559
142 Eastern Michigan 13-10 0.5552
143 Pepperdine 15-12 0.554
144 Loyola-Chicago 14-12 0.552
145 Norfolk State 15-11 0.5514
146 New Hampshire 15-10 0.549
147 Canisius 15-12 0.5485
148 Alabama State 13-7 0.5477
149 Texas-Arlington 14-11 0.5464
150 E. Tennessee State 14-11 0.5438
151 South Carolina 12-13 0.541
152 Texas Southern 14-12 0.5403
153 North Florida 15-11 0.5401
154 Santa Barbara 12-12 0.5379
155 Lehigh 14-12 0.5373
156 Columbia 12-11 0.5286
157 Vermont 15-11 0.5278
158 Monmouth 16-13 0.5273
159 New Jersey Tech 13-11 0.5261
160 Kansas State 13-15 0.5231
161 New Mexico 14-13 0.5227
162 Eastern Illinois 14-12 0.5195
163 Northwestern 13-14 0.5193
164 Nebraska 13-14 0.5192
165 Northern Arizona 14-12 0.5187
166 UAB 14-13 0.5157
167 Maryland-Eastern Shore 16-13 0.5154
168 Mount St. Mary’s 14-13 0.5141
169 American 14-14 0.5132
170 Oakland 13-14 0.5132
171 Gardner-Webb 13-12 0.5121
172 Middle Tennessee 14-13 0.5098
173 Manhattan 14-12 0.5058
174 Colorado 12-14 0.5057
175 Northwestern State 11-10 0.5047
176 Tulane 13-12 0.5045
177 Georgia Tech 12-15 0.5045
178 UL Lafayette 13-12 0.5043
179 Winthrop 13-11 0.5009
180 Long Beach State 11-15 0.4988
181 Oral Roberts 13-13 0.4945
182 Wake Forest 12-15 0.4934
183 IPFW 12-12 0.4899
184 Cal Poly 11-12 0.4885
185 Creighton 12-15 0.4884
186 Mercer 14-13 0.4879
187 San Diego 13-14 0.4854
188 Army 14-12 0.4849
189 Indiana State 13-14 0.4838
190 Quinnipiac 14-13 0.4823
191 Robert Morris 14-14 0.4821
192 Portland State 12-11 0.4787
193 St. Francis (Pa.) 13-13 0.4776
194 Auburn 11-15 0.4745
195 Bryant University 13-14 0.4722
196 Marquette 11-15 0.4691
197 DePaul 12-16 0.4688
198 Washington State 11-15 0.468
199 California Riverside 12-13 0.4679
200 Grand Canyon 14-12 0.4636
201 South Dakota 13-14 0.4561
202 Texas-San Antonio 11-12 0.4531
203 Texas A&M-Corpus Christi 12-12 0.452
204 Texas Tech 12-16 0.4496
205 Charlotte 12-15 0.4431
206 North Texas 11-13 0.441
207 Saint Joseph’s 11-15 0.4378
208 Boston University 11-15 0.437
209 Mississippi State 11-15 0.4355
210 Princeton 11-13 0.4328
211 San Francisco 11-16 0.4316
212 UCF 11-14 0.4308
213 Colgate 12-16 0.4298
214 Cornell 11-14 0.4264
215 Florida International 11-14 0.424
216 Lamar 10-12 0.4221
217 Delaware State 11-14 0.4204
218 Hartford 12-14 0.4194
219 Rutgers 10-18 0.4134
220 Santa Clara 10-16 0.4091
221 St. Peter’s 13-16 0.4087
222 LIU-Brooklyn 12-15 0.4074
223 Howard 11-13 0.4064
224 Holy Cross 10-15 0.4041
225 Western Carolina 11-15 0.4037
226 Fresno State 10-15 0.4019
227 Southern California 10-17 0.4015
228 Detroit 11-17 0.4009
229 Southern 11-14 0.4008
230 Air Force 10-14 0.399
231 Boston College 9-17 0.3968
232 Dartmouth 10-14 0.3961
233 East Carolina 10-15 0.3913
234 Loyola-Maryland 11-16 0.3912
235 Sacred Heart 12-16 0.3894
236 NC-Asheville 10-14 0.3887
237 Saint Louis 10-16 0.3857
238 Brown 10-15 0.3852
239 Northern Colorado 10-14 0.3833
240 Wisconsin-Milwaukee 10-16 0.3825
241 Morehead State 10-16 0.3794
242 Denver 11-16 0.3782
243 Virginia Tech 10-17 0.3754
244 Drexel 10-16 0.3746
245 SIU-Edwardsville 10-14 0.3719
246 Arkansas-Little Rock 11-15 0.3718
247 Idaho 9-14 0.3713
248 Miami (Ohio) 10-16 0.371
249 Seattle 11-13 0.3696
250 Northern Illinois 9-15 0.3696
251 Ohio 9-16 0.368
252 UMass Lowell 11-16 0.3671
253 Wright State 9-17 0.3624
254 Towson 11-17 0.3609
255 Texas State-San Marcos 8-14 0.3586
256 Arkansas State 9-15 0.3534
257 Weber State 9-15 0.3525
258 Hampton 11-15 0.351
259 Siena 10-17 0.3491
260 Southeast Missouri State 10-16 0.3488
261 Navy 10-17 0.3482
262 Duquesne 8-16 0.3413
263 Tennessee Tech 10-16 0.3406
264 Samford 11-17 0.336
265 Northern Kentucky 9-16 0.3358
266 VMI 9-16 0.3354
267 Pacific 8-17 0.3343
268 Appalachian State 9-16 0.3329
269 Elon 10-17 0.3322
270 Rice 8-15 0.3308
271 Houston 9-17 0.3306
272 Missouri State 8-18 0.3305
273 IUPUI 9-19 0.3301
274 Prairie View A&M 9-16 0.3255
275 Cal State Bakersfield 10-16 0.3246
276 Lipscomb 9-15 0.3246
277 Houston Baptist 7-12 0.3226
278 Drake 8-19 0.3214
279 Jacksonville State 10-17 0.3142
280 Fordham 7-17 0.3119
281 Wagner 9-17 0.3115
282 George Mason 7-18 0.3104
283 UMKC 9-17 0.3062
284 Utah Valley 8-16 0.3039
285 Pennsylvania 7-16 0.3007
286 Southeastern Louisiana 8-17 0.296
287 Southern Illinois 9-19 0.2944
288 Youngstown State 8-18 0.2937
289 Delaware 8-19 0.2879
290 Troy 8-16 0.2866
291 Missouri 6-20 0.2847
292 Arkansas-Pine Bluff 9-19 0.2828
293 South Florida 7-20 0.2776
294 Loyola Marymount 7-21 0.2773
295 McNeese State 6-15 0.2723
296 South Carolina State 8-18 0.2719
297 Jackson State 9-18 0.2719
298 Ball State 6-18 0.2663
299 Kennesaw State 8-19 0.2625
300 Marshall 7-18 0.2595
301 Nebraska Omaha 8-17 0.2566
302 South Alabama 7-19 0.2555
303 Cal State Fullerton 7-18 0.2549
304 College of Charleston 8-21 0.2546
305 Southern Utah 7-17 0.2535
306 North Dakota 6-18 0.2534
307 Bradley 7-21 0.2491
308 The Citadel 7-17 0.2473
309 Fairfield 7-21 0.2471
310 Florida Atlantic 6-17 0.2448
311 Nevada 6-18 0.2402
312 Bethune-Cookman 8-17 0.2367
313 Abilene Christian 6-17 0.2317
314 Alabama A&M 6-16 0.2264
315 Western Illinois 6-17 0.2241
316 Niagara 6-21 0.2191
317 Fairleigh Dickinson 6-20 0.2166
318 Morgan State 7-20 0.2139
319 NC-Greensboro 6-20 0.2064
320 Montana State 6-20 0.2063
321 Campbell 6-20 0.2041
322 Southern Miss 5-19 0.2
323 Texas-Pan American 6-19 0.1993
324 Northridge 5-22 0.1948
325 Longwood 6-21 0.1909
326 Austin Peay 5-20 0.1859
327 Presbyterian 5-20 0.1842
328 Nicholls State 4-16 0.1835
329 Illinois-Chicago 5-22 0.1826
330 New Orleans 4-15 0.1783
331 Jacksonville 6-20 0.1768
332 Furman 5-20 0.1757
333 Coppin State 5-21 0.1754
334 Marist 5-22 0.1669
335 Stetson 5-20 0.164
336 Savannah State 4-19 0.1538
337 Mississippi Valley State 5-22 0.1476
338 Central Connecticut State 5-24 0.144
339 North Carolina A&T 4-21 0.1313
340 Idaho State 4-21 0.128
341 Binghamton 4-24 0.128
342 Maryland-Baltimore County 4-23 0.1235
343 Alcorn State 4-20 0.1221
344 Chicago State 3-22 0.1054
345 Maine 3-24 0.0976
346 Tennessee State 3-23 0.0971
347 Liberty 3-22 0.0891
348 Central Arkansas 1-23 0.0318
349 Florida A&M 1-25 0.0282
350 San Jose State 0-24 0
351 Grambling 0-22 0
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