by Brian Fremeau
The Fremeau Efficiency Index principles and methodology can be found here [1]. Like DVOA, FEI rewards playing well against good teams, win or lose, and punishes losing to poor teams more harshly than it rewards defeating poor teams. Unlike DVOA, it is drive-based, not play-by-play based, and it is specifically engineered to measure the college game.
FEI is the opponent-adjusted value of Game Efficiency (GE), a measurement of the success rate of a team scoring and preventing opponent scoring throughout the non-garbage-time possessions of a game. Like DVOA, it represents a team's efficiency value over average. Strength of Schedule (SOS) is calculated from a privileged perspective (explained here [2]) and represents the likelihood that an Elite team (top 5) would post an undefeated record against the given team's opponents to date.
The following ratings are calculated based on data from all FBS games played through Sunday, November 2. Only games between FBS teams are considered.
| Rank | Team | Record | FEI | Last Week | vs. Top 10 | vs. Top 40 | GE | GE Rank | SOS | SOS Rank |
| 1 | Florida | 7-1 | 0.303 | 5 | 0-0 | 2-1 | 0.414 | 2 | 0.415 | 51 |
| 2 | Penn State | 8-0 | 0.293 | 2 | 0-0 | 2-0 | 0.389 | 3 | 0.548 | 72 |
| 3 | Texas | 8-1 | 0.288 | 1 | 1-1 | 3-1 | 0.349 | 5 | 0.248 | 15 |
| 4 | North Carolina | 5-2 | 0.263 | 3 | 0-0 | 3-2 | 0.161 | 17 | 0.345 | 33 |
| 5 | USC | 7-1 | 0.255 | 4 | 0-0 | 2-0 | 0.427 | 1 | 0.562 | 75 |
| 6 | Alabama | 9-0 | 0.238 | 6 | 0-0 | 2-0 | 0.318 | 8 | 0.504 | 65 |
| 7 | Texas Tech | 7-0 | 0.237 | 12 | 1-0 | 1-0 | 0.353 | 4 | 0.460 | 57 |
| 8 | Georgia Tech | 5-2 | 0.223 | 9 | 1-0 | 3-2 | 0.126 | 21 | 0.344 | 32 |
| 9 | Oklahoma | 7-1 | 0.218 | 10 | 0-1 | 2-1 | 0.323 | 7 | 0.380 | 42 |
| 10 | Florida State | 4-2 | 0.190 | 13 | 0-1 | 2-2 | 0.068 | 34 | 0.320 | 27 |
| 11 | Virginia Tech | 4-3 | 0.182 | 8 | 2-1 | 2-3 | 0.023 | 52 | 0.218 | 9 |
| 12 | Oklahoma State | 7-1 | 0.173 | 11 | 0-1 | 1-1 | 0.279 | 11 | 0.362 | 36 |
| Rank | Team | Record | FEI | Last Week | vs. Top 10 | vs. Top 40 | GE | GE Rank | SOS | SOS Rank |
| 13 | Ohio State | 6-2 | 0.172 | 15 | 0-2 | 2-2 | 0.088 | 26 | 0.195 | 7 |
| 14 | Mississippi | 4-4 | 0.171 | 17 | 1-1 | 1-4 | 0.036 | 49 | 0.154 | 4 |
| 15 | Missouri | 6-2 | 0.166 | 14 | 0-1 | 1-2 | 0.205 | 15 | 0.309 | 25 |
| 16 | Georgia | 6-2 | 0.156 | 7 | 0-2 | 2-2 | 0.041 | 47 | 0.176 | 6 |
| 17 | Miami | 5-3 | 0.154 | 21 | 0-3 | 3-3 | 0.033 | 50 | 0.125 | 3 |
| 18 | Wake Forest | 5-3 | 0.145 | 24 | 1-0 | 3-1 | 0.011 | 57 | 0.324 | 29 |
| 19 | Vanderbilt | 5-3 | 0.144 | 18 | 0-0 | 2-2 | 0.071 | 33 | 0.412 | 50 |
| 20 | Ball State | 7-0 | 0.143 | 20 | 0-0 | 0-0 | 0.327 | 6 | 0.852 | 119 |
| 21 | Pittsburgh | 6-2 | 0.143 | 22 | 0-0 | 1-0 | 0.071 | 32 | 0.561 | 74 |
| 22 | Iowa | 4-4 | 0.133 | 23 | 0-0 | 0-4 | 0.137 | 20 | 0.450 | 55 |
| 23 | Northwestern | 6-2 | 0.129 | 33 | 0-0 | 3-1 | 0.061 | 36 | 0.502 | 64 |
| 24 | Michigan State | 8-2 | 0.128 | 27 | 0-0 | 2-2 | 0.089 | 25 | 0.393 | 44 |
| 25 | Connecticut | 5-3 | 0.123 | 16 | 0-1 | 2-2 | 0.045 | 44 | 0.370 | 38 |
Adjusted Offensive Efficiency (AOE) and Adjusted Defensive Efficiency (ADE) are the opponent-adjusted values of Offensive Efficiency (OE) and Defensive Efficiency (DE), explained here [3]. Like FEI, the multiple-order adjustments are weighted according to both the strength of the opponent and the relative significance of the result; efficiency against a team's best competition faced is given more relevance weight. AOE and ADE represent a team's value over/under average. Positive AOE and negative ADE are the most valuable.
| Rank | Team | Record | AOE | AOE Rank | ADE | ADE Rank | OE | OE Rank | DE | DE Rank |
| 1 | Florida | 7-1 | 0.411 | 7 | -0.460 | 1 | 0.507 | 13 | -0.587 | 3 |
| 2 | Penn State | 8-0 | 0.511 | 3 | -0.405 | 5 | 0.539 | 12 | -0.531 | 6 |
| 3 | Texas | 8-1 | 0.586 | 1 | -0.308 | 16 | 0.963 | 1 | -0.125 | 42 |
| 4 | North Carolina | 5-2 | 0.185 | 32 | -0.441 | 3 | -0.048 | 61 | -0.359 | 14 |
| 5 | USC | 7-1 | 0.424 | 6 | -0.376 | 9 | 0.566 | 9 | -0.640 | 1 |
| 6 | Alabama | 9-0 | 0.373 | 8 | -0.389 | 7 | 0.229 | 29 | -0.630 | 2 |
| 7 | Texas Tech | 7-0 | 0.370 | 9 | -0.361 | 11 | 0.940 | 2 | -0.046 | 56 |
| 8 | Georgia Tech | 5-2 | 0.303 | 15 | -0.217 | 27 | 0.023 | 48 | -0.329 | 20 |
| 9 | Oklahoma | 7-1 | 0.540 | 2 | -0.229 | 24 | 0.892 | 4 | -0.097 | 48 |
| 10 | Florida State | 4-2 | 0.147 | 37 | -0.187 | 35 | -0.039 | 60 | -0.173 | 37 |
| 11 | Virginia Tech | 4-3 | -0.011 | 66 | -0.302 | 18 | -0.218 | 82 | -0.111 | 46 |
| 12 | Oklahoma State | 7-1 | 0.306 | 14 | -0.212 | 28 | 0.676 | 8 | -0.058 | 54 |
| Rank | Team | Record | AOE | AOE Rank | ADE | ADE Rank | OE | OE Rank | DE | DE Rank |
| 13 | Ohio State | 6-2 | 0.057 | 53 | -0.405 | 4 | -0.177 | 73 | -0.414 | 9 |
| 14 | Mississippi | 4-4 | 0.293 | 17 | -0.223 | 26 | -0.010 | 51 | -0.121 | 44 |
| 15 | Missouri | 6-2 | 0.438 | 5 | -0.062 | 60 | 0.755 | 6 | 0.136 | 83 |
| 16 | Georgia | 6-2 | 0.330 | 11 | -0.162 | 41 | 0.117 | 40 | -0.095 | 49 |
| 17 | Miami | 5-3 | 0.070 | 50 | -0.004 | 66 | -0.198 | 77 | -0.071 | 52 |
| 18 | Wake Forest | 5-3 | -0.248 | 96 | -0.441 | 2 | -0.367 | 107 | -0.224 | 33 |
| 19 | Vanderbilt | 5-3 | -0.020 | 69 | -0.400 | 6 | -0.211 | 81 | -0.317 | 22 |
| 20 | Ball State | 7-0 | 0.285 | 19 | -0.250 | 21 | 0.769 | 5 | -0.254 | 27 |
| 21 | Pittsburgh | 6-2 | 0.307 | 13 | -0.250 | 21 | 0.769 | 5 | -0.254 | 27 |
| 22 | Iowa | 4-4 | 0.009 | 61 | -0.385 | 8 | -0.037 | 59 | -0.465 | 7 |
| 23 | Northwestern | 6-2 | 0.273 | 21 | -0.169 | 39 | -0.029 | 56 | -0.237 | 30 |
| 24 | Michigan State | 8-2 | 0.158 | 35 | -0.144 | 44 | -0.069 | 64 | -0.157 | 39 |
| 25 | Connecticut | 5-3 | 0.084 | 48 | -0.335 | 14 | -0.026 | 54 | -0.304 | 23 |
The Week 10 FEI Ratings for all 120 FBS teams can be found here [4]. Expanded FEI Ratings data can be found here [5].
Florida takes over the top spot in the Week 10 FEI Ratings after stomping Georgia in Jacksonville. The Gators are the seventh team to hold the FEI No. 1 spot this season, a position that has changed hands five times in the last six weeks. Six weeks ago [6], we were eagerly anticipating the first game of five regular season match-ups between the four SEC "powerhouses" -- Florida, Georgia, LSU, and Alabama -- all ranked in the FEI top 8 through week four of the season. Four of those five games are now in the books, none of them were particularly close, and the Gators currently stand atop their mini-tournament standings at 2-0, blowing out both the Bulldogs and Tigers. Alabama will have their opportunity to match the Gators' feat this Saturday in Baton Rouge, and will likely face Florida for the SEC title in December.
No. 3 Texas lost the game of the year in Lubbock Saturday night, and has mercifully closed its own mini-tournament, going 3-1 in four straight weeks against the FEI No. 7 (Texas Tech), No. 9 (Oklahoma), No. 12 (Oklahoma State), and No. 15 (Missouri) teams. Among the top five teams in the Big 12, eight total regular season games will ultimately be played this year. Of the five in the books, only one was decided by more than a single possession, Texas' 56-31 obliteration of Missouri on October 18.
The Red Raiders' thrilling win over the Longhorns launched them into the BCS title game conversation, but it was Texas Tech's first game against an FEI top 40 opponent this season. The Big 12 South driver's seat is theirs, but after a brutal month, Texas is probably happy to hand over the keys. Riding shotgun might be the best BCS position in early November.
A few weeks ago [7], I calculated the likelihood that each of the ten then-undefeated teams would run the table through the remainder of the year. Let's revisit that table, including the six remaining undefeated teams plus the seven one-loss teams waiting at the BCS doorstep. The likelihood is a function of the Projected Win Expectation of each team in each match-up, based on the current FEI ratings for each team. Teams listed with an asterisk may possibly also play a conference championship game at season's end. Those possible games are not factored in the table.
| Likelihood of Winning All Remaining Regular Season Games | |||||
| FEI Rank | Team | W-L | Likelihood Pct. | Games Remaining | BCS Rank |
| 3 | Texas* | 8-1 | 95.0% | Baylor, Kansas, Texas A&M | 4 |
| 26 | Boise State | 7-0 | 78.4% | Utah State, Idaho, Nevada, Fresno State | 10 |
| 6 | Alabama* | 9-0 | 73.5% | LSU, Mississippi State, Auburn | 1 |
| 5 | USC | 7-1 | 72.7% | California, Stanford, Notre Dame, UCLA | 7 |
| 2 | Penn State | 8-0 | 69.5% | Iowa, Indiana, Michigan State | 3 |
| 1 | Florida* | 7-1 | 55.5% | Vanderbilt, South Carolina, Citadel, Florida State | 5 |
| 34 | TCU | 8-1 | 37.9% | Utah, Air Force | 12 |
| 7 | Texas Tech* | 7-0 | 37.0% | Oklahoma State, Oklahoma, Baylor | 2 |
| 20 | Ball State* | 7-0 | 36.5% | Northern Illinois, Miami (OH), Central Michigan, Western Michigan | 17 |
| 37 | Utah | 8-0 | 34.1% | TCU, San Diego State, BYU | 8 |
| 9 | Oklahoma* | 7-1 | 26.8% | Texas A&M, Texas Tech, Oklahoma State | 6 |
| 62 | BYU | 7-1 | 12.3% | San Diego State, Air Force, Utah | 15 |
| 12 | Oklahoma State* | 7-1 | 11.7% | Texas Tech, Colorado, Oklahoma | 9 |
The five teams in the best position three weeks ago to remain undefeated have done exactly that. Texas Tech has improved its position, but is far from a sure thing the rest of the way, and Texas can probably count on some of the dominoes they need to fall. Penn State and USC are good bets to hang around while others struggle as well.
The six remaining undefeated teams don't play one another, so it is mathematically possible for all of them to run the table, however unlikely. The 13 teams listed above do play five more regular season games against one another, plus a probable sixth in the SEC championship. In short, even without dropping a game to someone outside the BCS top 15 (the group has already suffered two such defeats this year), the 13 teams listed above will have at least a combined 13 losses before bowl season.
As my colleague Russell Levine discussed in his column this week [9], projecting, dreading, and/or eagerly anticipating BCS chaos is the pastime of choice this time of year. Like Russell, I'm always surprised that the speculation usually focuses more on poll position than remaining schedule. An undefeated Penn State team could indeed be shut out of a title game opportunity if Texas Tech and Alabama also win out, but FEI projects only a 18.9 percent likelihood of that situation occurring. If undefeated Red Raiders and Crimson Tide teams meet Missouri and Florida in their respective conference championship games, the likelihood that all three current BCS conference undefeated teams remain unblemished prior to bowl season plummets to about 5 percent.
If only two BCS-conference teams remain undefeated and play for the championship, will chaos have been averted? In 2005, USC and Texas fit the bill and played an epic thriller for the national title, the only game played between the postseason FEI No. 1 and No. 2 teams since 2003. I am confident that there will be arguments this year, and we may indeed be careening toward an unprecedented debate over the merits of teams, conferences, and even conference divisions. I am less confident, but still hopeful, that the teams that do ultimately appear in the BCS championship game can at least match if not exceed the drama in Lubbock on Saturday night.
Links:
[1] http://bcftoys.blogspot.com/2006/10/efficiency-in-college-football.html
[2] http://footballoutsiders.com/fei-ratings/fei-week-6-ratings
[3] http://www.footballoutsiders.com/fei-ratings/fei-week-8-ratings
[4] http://bcftoys.blogspot.com/2008/11/week-10-fei-ratings.html
[5] http://spreadsheets.google.com/pub?key=pkpk-Zkv_WsI4WkzBnfBKaw&gid=1
[6] http://footballoutsiders.com/fei-ratings/fei-week-4-ratings
[7] http://footballoutsiders.com/fei-ratings/fei-week-7-ratings
[8] http://ad.doubleclick.net/jump/footballoutsiders.fsv/ros;sect=ros;fantasy=yes;game=no;tile=3;sz=300x250;ord=' random_number '?
[9] http://footballoutsiders.com/confessions/confessions-football-junkie-relax