## Friday, February 1, 2019

### Breaking Down My Golden Formula, and 2/1/19 Rankings

The objective of my formula is to provide an aggregate for all sports that counts only wins and losses with the Golden Ratio (φ) applied whenever possible. In short, a team's aggregated rating is: (its winning percentage times φ²) plus (its opponents' combined winning percentage times φ) plus (its opponents' opponents' combined winning percentage).

Now to break down how all these values are compiled....

Why the Golden Ratio (φ)?

The Golden Ratio (φ) is the ratio between a and b if a>b>0 and (a+b)/a = a/b. If:

a = a team's winning percentage

b = a team's opponents' combined winning percentage

c = a team's opponents' opponents' combined winning percentage,

the original football BCS SOS formula was (2b+c)/3. To have a simple 2:1 ratio when compiling SOS always seemed too contrived and easy to me, so I thought, rhetorically, that a ratio of a team's record and its strength of schedule should be the same as that of its "b" to its "c."

The Golden Ratio = φ = (1+√5)/2 = 1.6180339887499

Wins, Losses, Ties, etc.

All wins and losses (even those to lower-division teams) are counted. A game that Team A plays against Team B does not factor into each other’s opponents’ record. That is, if Team A drops to 30-1 after a loss to Team B, Team B notches 30-0 into its SOS. This same exclusion applies to the opponents’ opponents’ total. Plainly: a team’s games are excluded from reflexively factoring into its SOS. When Team A plays a lower-division opponent, that opponent is deemed hypothetically to go winless vs. Team A’s schedule. If Team A is 10-0 against opponents who go a combined 54-46, an upcoming game against Lower Division U would account for 0-10 in their opponents’ combined record and 54-46 in their opponents’ opponents’ combined record. The higher Team A’s overall winning percentage is, the less a game against Lower Division U. hurts their SOS.

Most remember the BCS controversies in 2003 and 2006, when LSU/USC & Florida/Michigan were in respective conversations for spots in their title games. In each case, the former was 12-1, having beaten an FCS opponent and won a conference championship game, and the latter was 11-1, having played no FCS opponents and no “extra” conference championship game. If not every team plays the same number of games, this means that different opponents carry different weights in a team’s SOS. After literally years of deliberating on how to account for these differences (if at all), I decided to count “sitting at home” the same as beating a lower-division team. Therefore, 2003 USC and 2006 Michigan are given applied records of 12-1, each given a win vs. a hypothetical lower-division team.

As it applies today in the middle of a college basketball regular season, the maximum number of games played by a given team as of this morning (2/1/19) is 24, and any team who has played fewer games–that is to say, almost every team–is given the number of wins vs. a hypothetical lower-division team that equals the difference between its total and the running maximum. As of right now, my Golden Formula applies to all 353 teams' totals 24 games, 352 opponents’ games (24²-24), and 13,248 opponents’ opponents’ games (24³-24²).    This has a considerable effect on all postseason games, giving them extra weight. As a team advances in its conference tournament or in a postseason tournament, beating increasingly good teams along the way, most other teams are, of course, “sitting at home.” Postseason wins, therefore, cause strengths of schedule and overall ratings to rise considerably more than do regular season games, while postseason losses show little or no negative effect to a team’s rating. On April 8, two teams will play for the national title, each adding to its SOS a strong opponent, while each of the other 351 teams effectively will be given a 0-40 hypothetical team to theirs.

The Curve

All winning percentage totals are “graded on a curve” before applying φ to them. This addresses the relatively low variance in SOS, which tends to be only about ⅓ of the variance in winning percentage. As of this morning, the lowest applied winning percentage is Maryland-Eastern Shore’s .167, while the highest is .958, held by the five 1-loss teams. The highs and lows of opponents’- and opponents’ opponents’ winning percentages are .663/.313 and .588/.387. Each high is represented by 1.000, and each low, .000, with all other values represented proportionally between. All elements of the Golden Formula are now determined.

The Golden Formula (a × φ²) + (b × φ) + c = Rating

2/1/19 Rankings (Expanded)

 Team W/L% (curved) Opps' W/L% (curved) Opps' Opps' W/L% (curved SOS rank Rating Rating (curved) 1 Kansas 0.789 1.000 1.000 1 4.68490 1.00000 2 Houston 1.000 0.746 0.837 26 4.66202 0.99372 3 Duke 0.947 0.788 0.795 21 4.54950 0.96286 4 Michigan 1.000 0.642 0.871 48 4.52874 0.95716 5 Michigan St 0.895 0.751 0.964 12 4.52194 0.95530 6 Gonzaga 0.947 0.762 0.800 28 4.51237 0.95267 7 Marquette 0.895 0.803 0.807 17 4.44905 0.93530 8 Virginia 1.000 0.611 0.813 67 4.42053 0.92748 9 Nevada 1.000 0.658 0.682 75 4.36494 0.91223 10 Tennessee 1.000 0.565 0.815 78 4.34726 0.90738 11 LSU 0.895 0.720 0.776 38 4.28400 0.89002 12 Kentucky 0.895 0.674 0.847 41 4.27908 0.88867 13 Louisville 0.789 0.860 0.806 10 4.26481 0.88476 14 Purdue 0.737 0.881 0.907 3 4.26156 0.88387 15 North Carolina 0.842 0.746 0.821 29 4.23253 0.87590 16 Oklahoma 0.737 0.819 0.969 4 4.22234 0.87311 17 Texas Tech 0.842 0.741 0.805 33 4.20804 0.86919 18 Maryland 0.737 0.829 0.878 7 4.14855 0.85287 19 Washington 0.842 0.746 0.731 40 4.14329 0.85142 20 Villanova 0.789 0.782 0.809 20 4.14211 0.85110 21 Cincinnati 0.895 0.648 0.751 69 4.14182 0.85102 22 Iowa St 0.789 0.731 0.844 30 4.09310 0.83766 23 Kansas St 0.789 0.694 0.865 34 4.05488 0.82717 24 TCU 0.789 0.715 0.802 36 4.02616 0.81929 25 Wisconsin 0.737 0.746 0.884 19 4.02008 0.81762 26 Iowa 0.789 0.653 0.862 44 3.98520 0.80805 27 Syracuse 0.737 0.762 0.817 24 3.97818 0.80613 28 Mississippi St 0.789 0.699 0.772 49 3.97053 0.80403 29 Minnesota 0.789 0.653 0.847 50 3.97039 0.80399 30 Florida St 0.789 0.674 0.812 51 3.96866 0.80352 31 Temple 0.737 0.756 0.811 27 3.96458 0.80240 32 Buffalo 0.895 0.591 0.657 97 3.95556 0.79993 33 Virginia Tech 0.895 0.539 0.741 98 3.95488 0.79974 34 Texas 0.579 0.876 0.989 2 3.92165 0.79062 35 St John's 0.789 0.648 0.756 66 3.87102 0.77673 36 Arizona St 0.737 0.725 0.758 43 3.86073 0.77391 37 Ohio St 0.737 0.663 0.841 45 3.84328 0.76912 38 UNC Greensboro 0.895 0.544 0.583 136 3.80566 0.75880 39 UCF 0.842 0.554 0.699 99 3.80088 0.75749 40 Alabama 0.684 0.751 0.791 32 3.79794 0.75669 41 VA Commonwealth 0.737 0.731 0.663 58 3.77420 0.75017 42 Seton Hall 0.632 0.788 0.838 16 3.76542 0.74776 43 Baylor 0.737 0.642 0.770 65 3.73878 0.74046 44 Mississippi 0.737 0.632 0.766 71 3.71766 0.73466 45 Arizona 0.632 0.803 0.760 23 3.71307 0.73341 46 Hofstra 0.895 0.435 0.613 186 3.65921 0.71863 47 Creighton 0.579 0.767 0.894 13 3.65069 0.71629 48 Tulsa 0.579 0.860 0.733 15 3.64051 0.71350 49 New Mexico St 0.842 0.513 0.599 148 3.63368 0.71163 50 Auburn 0.737 0.601 0.731 82 3.63209 0.71119 51 Butler 0.526 0.850 0.869 6 3.62135 0.70824 52 San Francisco 0.842 0.518 0.566 156 3.60854 0.70473 53 Oregon 0.632 0.731 0.764 37 3.59962 0.70228 54 Memphis 0.632 0.751 0.725 39 3.59398 0.70073 55 UC Irvine 0.789 0.585 0.579 114 3.59367 0.70065 56 Xavier 0.526 0.829 0.867 9 3.58651 0.69869 57 UCLA 0.579 0.788 0.787 22 3.57712 0.69611 58 Georgetown 0.684 0.642 0.746 72 3.57661 0.69597 59 Clemson 0.632 0.751 0.695 47 3.56437 0.69261 60 Providence 0.632 0.663 0.828 52 3.55507 0.69006 61 Utah St 0.789 0.523 0.634 128 3.54748 0.68798 62 Davidson 0.789 0.477 0.700 133 3.53777 0.68532 63 Indiana 0.579 0.694 0.896 31 3.53462 0.68445 64 Wofford 0.842 0.440 0.614 183 3.53155 0.68361 65 San Diego 0.684 0.653 0.663 79 3.51109 0.67800 66 Old Dominion 0.737 0.611 0.592 102 3.50998 0.67769 67 St Mary's CA 0.579 0.788 0.706 35 3.49615 0.67390 68 NC State 0.789 0.404 0.769 149 3.49005 0.67223 69 Georgia St 0.737 0.591 0.603 105 3.48777 0.67160 70 BYU 0.526 0.845 0.733 18 3.47757 0.66880 71 Toledo 0.789 0.518 0.572 155 3.47684 0.66860 72 Belmont 0.842 0.451 0.541 200 3.47517 0.66814 73 Arkansas 0.632 0.668 0.737 62 3.47246 0.66740 74 Florida 0.632 0.611 0.828 63 3.47123 0.66706 75 Dayton 0.684 0.560 0.771 86 3.46772 0.66610 76 Nebraska 0.632 0.596 0.847 64 3.46437 0.66518 77 ETSU 0.789 0.518 0.556 159 3.46117 0.66430 78 Vermont 0.789 0.523 0.539 162 3.45301 0.66206 79 USC 0.579 0.694 0.788 46 3.42665 0.65483 80 Rutgers 0.632 0.596 0.808 73 3.42518 0.65443 81 Oregon St 0.684 0.565 0.715 94 3.41994 0.65299 82 Col Charleston 0.737 0.518 0.651 125 3.41829 0.65254 83 Pittsburgh 0.579 0.694 0.758 55 3.39749 0.64683 84 Duquesne 0.737 0.497 0.656 139 3.38998 0.64477 85 NJIT 0.789 0.523 0.458 189 3.37160 0.63973 86 Drake 0.737 0.523 0.594 145 3.37007 0.63931 87 Oklahoma St 0.474 0.741 0.928 14 3.36671 0.63839 88 Lipscomb 0.842 0.373 0.556 230 3.36466 0.63783 89 Marshall 0.579 0.736 0.646 60 3.35223 0.63442 90 Stony Brook 0.789 0.503 0.436 205 3.31586 0.62444 91 Northwestern 0.526 0.736 0.742 42 3.31022 0.62289 92 Utah Valley 0.684 0.580 0.576 117 3.30622 0.62180 93 South Florida 0.737 0.492 0.577 168 3.30236 0.62074 94 Wichita St 0.474 0.762 0.817 24 3.28923 0.61714 95 West Virginia 0.421 0.808 0.872 11 3.28218 0.61520 96 N Kentucky 0.842 0.383 0.454 252 3.27868 0.61424 97 Connecticut 0.579 0.642 0.722 74 3.27708 0.61380 98 Notre Dame 0.526 0.679 0.798 53 3.27460 0.61312 99 Loy Marymount 0.737 0.451 0.613 178 3.27186 0.61237 100 Georgia Tech 0.526 0.689 0.778 54 3.27047 0.61199 101 Fresno St 0.789 0.404 0.544 217 3.26454 0.61036 102 Loyola-Chicago 0.632 0.611 0.605 100 3.24746 0.60568 103 WKU 0.526 0.741 0.667 57 3.24416 0.60477 104 S Dakota St 0.737 0.503 0.497 187 3.23902 0.60336 105 Texas St 0.842 0.358 0.447 264 3.23023 0.60095 106 Louisiana Tech 0.632 0.622 0.545 107 3.20502 0.59404 107 Georgia 0.526 0.648 0.779 61 3.20470 0.59395 108 Utah 0.579 0.570 0.758 85 3.19584 0.59152 109 Ohio 0.632 0.575 0.611 109 3.19531 0.59137 110 Northeastern 0.579 0.642 0.632 88 3.18696 0.58908 111 Boston College 0.632 0.549 0.645 112 3.18691 0.58907 112 George Mason 0.632 0.591 0.573 113 3.18258 0.58788 113 Missouri 0.579 0.539 0.791 89 3.17863 0.58680 114 South Carolina 0.526 0.648 0.752 68 3.17771 0.58654 115 Ga Southern 0.632 0.596 0.556 116 3.17312 0.58528 116 Kent 0.789 0.394 0.465 243 3.16898 0.58415 117 Furman 0.789 0.373 0.491 247 3.16113 0.58199 118 Bucknell 0.632 0.554 0.604 122 3.15437 0.58014 119 North Texas 0.842 0.290 0.462 290 3.13648 0.57523 120 Miami FL 0.474 0.772 0.629 56 3.11792 0.57014 121 St Louis 0.632 0.513 0.617 143 3.10036 0.56533 122 Grand Canyon 0.684 0.451 0.579 188 3.09968 0.56514 123 Liberty 0.789 0.347 0.465 263 3.09396 0.56357 124 Texas A&M 0.474 0.674 0.754 59 3.08402 0.56084 125 Penn St 0.316 0.881 0.825 5 3.07651 0.55878 126 Lehigh 0.737 0.409 0.482 232 3.07331 0.55791 127 Stanford 0.526 0.560 0.787 83 3.07002 0.55700 128 Vanderbilt 0.474 0.679 0.691 70 3.02927 0.54582 129 Murray St 0.842 0.280 0.370 308 3.02742 0.54532 130 SMU 0.632 0.477 0.581 174 3.00598 0.53943 131 DePaul 0.579 0.472 0.720 126 2.99868 0.53743 132 Illinois St 0.579 0.534 0.618 127 2.99741 0.53708 133 Rhode Island 0.579 0.544 0.593 130 2.98936 0.53488 134 Montana 0.737 0.399 0.411 255 2.98602 0.53396 135 S Illinois 0.474 0.710 0.588 77 2.97683 0.53144 136 Austin Peay 0.684 0.456 0.447 222 2.97571 0.53113 137 Radford 0.684 0.409 0.502 228 2.95598 0.52572 138 Colorado 0.579 0.487 0.646 147 2.94939 0.52391 139 Ball St 0.526 0.617 0.570 104 2.94587 0.52294 140 Jacksonville St 0.737 0.311 0.511 270 2.94276 0.52209 141 San Diego St 0.632 0.440 0.571 194 2.93728 0.52059 142 C Michigan 0.737 0.368 0.386 280 2.91003 0.51311 143 Illinois 0.263 0.819 0.884 8 2.89776 0.50975 144 CS Bakersfield 0.737 0.347 0.405 284 2.89609 0.50929 145 Penn 0.737 0.321 0.446 286 2.89509 0.50902 146 UAB 0.632 0.477 0.458 210 2.88277 0.50564 147 Samford 0.526 0.591 0.540 124 2.87391 0.50320 148 Pacific 0.474 0.611 0.642 92 2.87153 0.50255 149 Santa Clara 0.474 0.580 0.685 95 2.86389 0.50046 150 St Joseph's PA 0.474 0.591 0.666 96 2.86194 0.49992 151 UNLV 0.579 0.477 0.573 177 2.86035 0.49948 152 Bowling Green 0.737 0.311 0.421 292 2.85308 0.49749 153 Abilene Chr 0.842 0.244 0.250 329 2.84902 0.49638 154 Miami OH 0.526 0.549 0.576 134 2.84298 0.49472 155 UTRGV 0.421 0.751 0.525 76 2.84255 0.49460 156 N Illinois 0.579 0.497 0.517 185 2.83773 0.49328 157 Wake Forest 0.421 0.648 0.662 80 2.81201 0.48622 158 Colgate 0.579 0.477 0.524 192 2.81116 0.48599 159 Holy Cross 0.526 0.544 0.539 151 2.79715 0.48215 160 Louisiana 0.632 0.409 0.472 235 2.78815 0.47968 161 Rider 0.632 0.420 0.455 236 2.78794 0.47962 162 UC Santa Barbara 0.789 0.264 0.289 320 2.78351 0.47840 163 N Colorado 0.684 0.389 0.342 282 2.76181 0.47245 164 Weber St 0.632 0.451 0.378 241 2.76119 0.47228 165 Delaware 0.579 0.446 0.511 209 2.74736 0.46849 166 Indiana St 0.526 0.456 0.598 180 2.71384 0.45929 167 NE Omaha 0.579 0.456 0.454 218 2.70753 0.45756 168 Pepperdine 0.474 0.554 0.567 135 2.70443 0.45671 169 E Michigan 0.474 0.503 0.648 138 2.70113 0.45581 170 ULM 0.579 0.435 0.453 231 2.67269 0.44801 171 Hawaii 0.684 0.275 0.434 299 2.67010 0.44729 172 Seattle 0.579 0.389 0.504 237 2.64817 0.44128 173 Akron 0.632 0.332 0.454 276 2.64368 0.44005 174 Brown 0.737 0.254 0.297 321 2.63678 0.43815 175 Yale 0.895 0.067 0.185 350 2.63646 0.43807 176 Missouri St 0.474 0.508 0.562 164 2.62332 0.43446 177 Boise St 0.474 0.503 0.565 166 2.61842 0.43312 178 Northern Iowa 0.368 0.632 0.629 90 2.61598 0.43245 179 New Mexico 0.474 0.518 0.536 167 2.61483 0.43213 180 Valparaiso 0.526 0.383 0.612 208 2.61040 0.43092 181 UT Arlington 0.421 0.539 0.636 121 2.60984 0.43076 182 PFW 0.526 0.451 0.499 211 2.60663 0.42988 183 E Illinois 0.579 0.420 0.409 249 2.60400 0.42916 184 Wright St 0.526 0.420 0.540 215 2.59682 0.42719 185 Hartford 0.474 0.518 0.486 184 2.56477 0.41840 186 FL Atlantic 0.579 0.316 0.531 257 2.55823 0.41661 187 Southern Miss 0.579 0.316 0.518 261 2.54473 0.41290 188 IUPUI 0.579 0.363 0.442 262 2.54444 0.41282 189 Winthrop 0.684 0.238 0.353 318 2.53000 0.40886 190 East Carolina 0.474 0.440 0.570 195 2.52304 0.40695 191 CS Fullerton 0.421 0.523 0.573 150 2.52243 0.40679 192 Detroit 0.368 0.596 0.592 106 2.52073 0.40632 193 St Bonaventure 0.421 0.523 0.565 154 2.51372 0.40440 194 Bradley 0.474 0.456 0.532 201 2.51031 0.40346 195 Colorado St 0.368 0.596 0.578 108 2.50680 0.40250 196 Sam Houston St 0.632 0.332 0.316 304 2.50655 0.40243 197 St Francis NY 0.579 0.373 0.386 278 2.50504 0.40202 198 Air Force 0.421 0.534 0.538 157 2.50350 0.40159 199 Drexel 0.368 0.596 0.569 111 2.49809 0.40011 200 Army 0.474 0.466 0.499 204 2.49399 0.39898 201 UT San Antonio 0.526 0.368 0.506 245 2.47946 0.39500 202 UMBC 0.579 0.301 0.475 287 2.47648 0.39418 203 Massachusetts 0.368 0.601 0.539 119 2.47644 0.39417 204 N Dakota St 0.421 0.534 0.507 170 2.47259 0.39311 205 G Washington 0.316 0.694 0.506 93 2.45646 0.38869 206 Troy 0.526 0.378 0.465 251 2.45530 0.38837 207 WI Green Bay 0.421 0.487 0.560 176 2.45068 0.38710 208 E Kentucky 0.421 0.513 0.512 179 2.44428 0.38535 209 Campbell 0.579 0.378 0.316 291 2.44334 0.38509 210 Presbyterian 0.474 0.477 0.407 223 2.41890 0.37838 211 Washington St 0.368 0.565 0.539 141 2.41731 0.37795 212 Long Beach St 0.316 0.591 0.632 101 2.41417 0.37709 213 Gardner Webb 0.579 0.332 0.358 294 2.41011 0.37597 214 American Univ 0.579 0.295 0.415 295 2.40846 0.37552 215 MA Lowell 0.526 0.368 0.434 260 2.40719 0.37517 216 William & Mary 0.316 0.596 0.614 103 2.40471 0.37449 217 Arkansas St 0.421 0.518 0.462 190 2.40303 0.37403 218 Canisius 0.421 0.477 0.527 191 2.40039 0.37331 219 Florida Intl 0.579 0.285 0.421 298 2.39822 0.37271 220 California 0.263 0.642 0.667 81 2.39548 0.37196 221 UNC Wilmington 0.263 0.674 0.602 84 2.38091 0.36796 222 Rice 0.368 0.549 0.525 153 2.37823 0.36723 223 Richmond 0.368 0.528 0.544 158 2.36342 0.36316 224 Evansville 0.368 0.492 0.593 161 2.35436 0.36068 225 Robert Morris 0.526 0.311 0.463 285 2.34414 0.35788 226 Citadel 0.474 0.389 0.473 244 2.34212 0.35732 227 Missouri KC 0.316 0.596 0.545 120 2.33548 0.35550 228 Oakland 0.368 0.487 0.576 172 2.32813 0.35348 229 Boston Univ 0.421 0.487 0.433 214 2.32356 0.35223 230 Coastal Car 0.579 0.306 0.301 311 2.31116 0.34883 231 Siena 0.421 0.451 0.457 221 2.28882 0.34270 232 Norfolk St 0.526 0.332 0.360 293 2.27493 0.33889 233 NC A&T 0.579 0.228 0.386 315 2.27030 0.33762 234 Loyola MD 0.316 0.570 0.519 146 2.26745 0.33684 235 IL Chicago 0.421 0.409 0.498 229 2.26268 0.33553 236 Quinnipiac 0.579 0.238 0.360 316 2.26138 0.33517 237 St Francis PA 0.474 0.383 0.394 269 2.25493 0.33341 238 CS Northridge 0.368 0.528 0.427 196 2.24674 0.33116 239 Mercer 0.316 0.549 0.529 152 2.24436 0.33050 240 Niagara 0.474 0.373 0.386 277 2.22990 0.32654 241 MTSU 0.211 0.689 0.561 87 2.22735 0.32584 242 Harvard 0.684 0.135 0.214 346 2.22302 0.32465 243 F Dickinson 0.474 0.373 0.377 279 2.22119 0.32415 244 Prairie View 0.474 0.383 0.352 281 2.21271 0.32182 245 LIU Brooklyn 0.474 0.368 0.375 283 2.21063 0.32125 246 Navy 0.316 0.549 0.492 165 2.20692 0.32023 247 Princeton 0.789 0.021 0.104 352 2.20489 0.31968 248 WI Milwaukee 0.368 0.492 0.436 207 2.19720 0.31757 249 Morehead St 0.316 0.534 0.500 173 2.19004 0.31560 250 Chattanooga 0.368 0.435 0.521 212 2.18988 0.31556 251 Sacred Heart 0.368 0.492 0.418 216 2.17848 0.31243 252 Cent Arkansas 0.421 0.420 0.392 254 2.17365 0.31111 253 High Point 0.526 0.285 0.332 312 2.17118 0.31043 254 North Florida 0.263 0.601 0.506 129 2.16733 0.30937 255 Dartmouth 0.632 0.181 0.216 338 2.16329 0.30827 256 FL Gulf Coast 0.263 0.560 0.567 131 2.16121 0.30769 257 Central Conn 0.368 0.461 0.441 220 2.15169 0.30508 258 North Alabama 0.263 0.549 0.563 142 2.14053 0.30202 259 South Dakota 0.368 0.435 0.471 224 2.14025 0.30194 260 Fordham 0.421 0.373 0.409 271 2.11518 0.29507 261 Marist 0.421 0.440 0.300 272 2.11446 0.29487 262 SF Austin 0.632 0.161 0.199 344 2.11278 0.29441 263 James Madison 0.316 0.435 0.570 199 2.10128 0.29125 264 E Washington 0.368 0.425 0.448 234 2.09997 0.29089 265 Bryant 0.421 0.430 0.301 275 2.09900 0.29063 266 TX Southern 0.474 0.280 0.404 303 2.09641 0.28992 267 Wagner 0.474 0.290 0.379 305 2.08879 0.28783 268 Charlotte 0.211 0.585 0.587 110 2.08536 0.28689 269 W Michigan 0.316 0.461 0.510 203 2.08268 0.28615 270 Towson 0.263 0.518 0.547 163 2.07412 0.28380 271 Monmouth NJ 0.211 0.674 0.431 115 2.07203 0.28323 272 South Alabama 0.474 0.290 0.360 307 2.06920 0.28245 273 Tulane 0.211 0.591 0.556 118 2.06327 0.28083 274 Portland St 0.474 0.301 0.335 309 2.06159 0.28037 275 Cornell 0.579 0.192 0.236 333 2.06142 0.28032 276 Elon 0.263 0.492 0.572 171 2.05745 0.27923 277 New Orleans 0.579 0.207 0.204 335 2.05523 0.27862 278 W Carolina 0.158 0.705 0.499 91 2.05289 0.27798 279 Montana St 0.474 0.316 0.300 310 2.05148 0.27759 280 La Salle 0.316 0.378 0.609 213 2.04824 0.27670 281 UTEP 0.368 0.358 0.502 250 2.04453 0.27569 282 Southern Utah 0.579 0.192 0.205 337 2.03095 0.27196 283 Cal Baptist 0.526 0.192 0.341 328 2.02899 0.27142 284 Denver 0.263 0.523 0.488 181 2.02416 0.27010 285 Portland 0.211 0.611 0.483 132 2.02323 0.26984 286 Oral Roberts 0.211 0.544 0.578 140 2.00915 0.26598 287 Northern Arizona 0.368 0.435 0.329 259 1.99745 0.26277 288 Jacksonville 0.368 0.363 0.438 265 1.98979 0.26067 289 Longwood 0.474 0.280 0.288 317 1.98060 0.25815 290 Ark Little Rock 0.316 0.440 0.431 233 1.97079 0.25546 291 Tennessee Tech 0.263 0.477 0.489 202 1.94915 0.24952 292 Idaho St 0.421 0.337 0.301 306 1.94809 0.24923 293 Appalachian St 0.316 0.399 0.453 246 1.92505 0.24291 294 VMI 0.263 0.440 0.522 206 1.92355 0.24250 295 Lamar 0.474 0.254 0.259 325 1.90995 0.23877 296 TAM C. Christi 0.474 0.244 0.273 326 1.90712 0.23799 297 SE Louisiana 0.368 0.378 0.329 289 1.90523 0.23747 298 Albany NY 0.263 0.487 0.403 219 1.88015 0.23059 299 Iona 0.316 0.378 0.422 258 1.86104 0.22535 300 Ark Pine Bluff 0.368 0.337 0.343 296 1.85209 0.22290 301 UC Davis 0.316 0.368 0.428 267 1.84950 0.22218 302 Alabama St 0.526 0.181 0.177 342 1.84809 0.22180 303 St Peter's 0.316 0.389 0.391 268 1.84646 0.22135 304 Wyoming 0.211 0.497 0.482 193 1.83836 0.21913 305 Tennessee St 0.263 0.404 0.469 239 1.81218 0.21195 306 Cleveland St 0.158 0.544 0.511 160 1.80432 0.20979 307 UC Riverside 0.263 0.461 0.368 240 1.80340 0.20954 308 Grambling 0.474 0.181 0.240 336 1.77386 0.20144 309 Mt St Mary's 0.158 0.544 0.470 175 1.76339 0.19856 310 Houston Bap 0.368 0.295 0.315 313 1.75760 0.19697 311 Hampton 0.526 0.130 0.166 348 1.75337 0.19582 312 SE Missouri St 0.263 0.425 0.367 256 1.74298 0.19296 313 Maine 0.105 0.642 0.424 137 1.73874 0.19180 314 CS Sacramento 0.579 0.083 0.081 351 1.73038 0.18951 315 Nicholls St 0.474 0.187 0.184 340 1.72565 0.18821 316 Fairfield 0.211 0.451 0.441 225 1.72111 0.18697 317 Kennesaw 0.105 0.549 0.556 144 1.72062 0.18683 318 Youngstown St 0.211 0.451 0.439 227 1.71937 0.18649 319 Charleston So 0.474 0.135 0.255 341 1.71277 0.18468 320 SIUE 0.316 0.332 0.340 300 1.70287 0.18196 321 Northwestern LA 0.316 0.332 0.332 301 1.69547 0.17993 322 Lafayette 0.263 0.409 0.343 273 1.69432 0.17962 323 San Jose St 0.158 0.477 0.504 198 1.68880 0.17810 324 Florida A&M 0.316 0.285 0.397 302 1.68488 0.17703 325 Binghamton 0.211 0.435 0.427 238 1.68203 0.17624 326 NC Central 0.474 0.161 0.175 345 1.67546 0.17444 327 W Illinois 0.368 0.218 0.341 322 1.65753 0.16952 328 Manhattan 0.211 0.425 0.418 242 1.65656 0.16926 329 North Dakota 0.368 0.197 0.356 324 1.63923 0.16450 330 Coppin St 0.053 0.663 0.424 123 1.63536 0.16344 331 Jackson St 0.368 0.249 0.251 327 1.61815 0.15872 332 Savannah St 0.263 0.321 0.367 297 1.57618 0.14721 333 Howard 0.474 0.078 0.181 349 1.54698 0.13920 334 Bethune-Cookman 0.368 0.181 0.267 331 1.52483 0.13312 335 Chicago St 0.053 0.528 0.516 169 1.50881 0.12873 336 Morgan St 0.368 0.161 0.284 334 1.50828 0.12858 337 TN Martin 0.316 0.233 0.302 323 1.50571 0.12788 338 McNeese St 0.368 0.181 0.199 339 1.45692 0.11449 339 Southern Univ 0.105 0.456 0.431 226 1.44390 0.11092 340 Alabama A&M 0.158 0.399 0.378 266 1.43679 0.10897 341 Incarnate Word 0.263 0.306 0.236 319 1.41998 0.10436 342 Stetson 0.053 0.508 0.455 197 1.41432 0.10281 343 Columbia 0.526 0.000 0.000 353 1.37791 0.09282 344 S Carolina St 0.105 0.415 0.421 248 1.36682 0.08978 345 SC Upstate 0.105 0.446 0.352 253 1.34877 0.08482 346 MD E Shore 0.000 0.617 0.332 182 1.32982 0.07963 347 Cal Poly 0.316 0.130 0.253 343 1.28928 0.06850 348 MS Valley St 0.105 0.378 0.385 274 1.27243 0.06388 349 Idaho 0.263 0.238 0.172 332 1.24657 0.05679 350 Alcorn St 0.316 0.150 0.171 347 1.24053 0.05513 351 New Hampshire 0.158 0.269 0.333 314 1.18280 0.03929 352 UNC Asheville 0.053 0.389 0.320 288 1.08698 0.01301 353 Delaware St 0.158 0.249 0.224 330 1.03956 0.00000

I received some questions about Virginia's surprisingly low #20 ranking that I published Monday (and you might notice that they quickly have jumped to #8). Virginia's schedule before the new year was on the weak end of the Power 6's, and as of this past weekend, their inevitably strong ACC schedule accounted for less than 1/3 of their overall schedule; to that, add four "sitting at home" instances since they've played only 20 games, compared to the running high of 24. This will be more than mitigated by the time UVA finishes their regular season with 10 ACC opponents and likely 2-4 ACC tournament opponents; by selection Sunday, they will have played as many games as virtually anyone else, and their relatively strong conference slate will represent more than 2/3 of their overall schedule.

Feel free to e-mail me at tootnanny@gmail.com with any further questions, comments, criticisms, etc.