Connectivity report · 2025 week 2
Nobody knows anything yet. Here is exactly how much.
The poll opens in Week 5. That date was published before the season and does not move. This is week 2, and what follows is a description of what is not yet knowable.
Every other poll is publishing a top 25 this week. It is built from reputation, because there is nothing else to build it from yet. This page is the alternative: a measurement of how little the schedule has told the model, published in the open, with the date the real poll opens fixed in advance.
The schedule graph
Diagnostics
| teams in the fitEvery team with at least one game against an FBS or FCS opponent. | 279 |
|---|---|
| games played | 272 |
| connected componentsSeparate islands of the schedule graph. Two teams in different components have no chain of results connecting them at all, at any length. | 10 |
| largest componentShare of the field that is mutually comparable through played games. | 113 teams (40.5%) |
| bridge gamesSingle games whose removal would split the graph in two, each holding at least two teams on. Every rating on the far side rests on that one result. | 217 |
| fitted λ₂ (results core)Chosen by cross-validation every week. λ is a ratio of variances, a statement about how much the model does not know, containing no team-specific information whatsoever. It is large when the data is thin and falls as the season accumulates. Regularization stays a statement about variance and never becomes a reputation prior. | 2.000 |
| median 90% rank-interval widthOut of 136 ranked teams, from 1,000 replays of this exact schedule. This is the number that says whether the season has settled. | 114 places |
| teams whose interval spans the league90% interval at least 90% as wide as the whole field. | 24 |
| teams no closer than three hops to the top tenThey have not played a top-ten team and share no opponent with one. Their position relative to the top of the poll is an extrapolation. | 229 |
These are the measures for the weeks before the poll opens, published whether or not they are flattering. The one worth understanding is the penalty the model puts on itself: chosen fresh every week by testing, identical for every team, and carrying nothing about any particular one. Pulling an unknown team toward the middle is a statement about the model’s own ignorance, which is why it can produce a number in week 2 without being told which conferences are supposed to be good.
Bridge games
A bridge is a game whose removal would split the graph in two. Every rating on the far side of one rests on that single result, rather than on a body of evidence, on one Saturday afternoon. There are 217 of them holding at least two teams on right now, and these are the 12 carrying the most weight.
- Stanford at Hawai'i (week 1). Hawai'i against Stanford is the only game linking 56 teams to the other 57. Undo that one result and the graph splits in two.
- Stanford at BYU (week 2). BYU against Stanford is the only game linking 56 teams to the other 57. Undo that one result and the graph splits in two.
- Portland State at BYU (week 1). BYU against Portland State is the only game linking 55 teams to the other 58. Undo that one result and the graph splits in two.
- Sam Houston at Hawai'i (week 2). Hawai'i against Sam Houston is the only game linking 48 teams to the other 65. Undo that one result and the graph splits in two.
- Sam Houston at Western Kentucky (week 1). Western Kentucky against Sam Houston is the only game linking 34 teams to the other 79. Undo that one result and the graph splits in two.
- North Alabama at Western Kentucky (week 1). Western Kentucky against North Alabama is the only game linking 25 teams to the other 88. Undo that one result and the graph splits in two.
- North Alabama at Southeast Missouri State (week 2). Southeast Missouri State against North Alabama is the only game linking 24 teams to the other 89. Undo that one result and the graph splits in two.
- Incarnate Word at Nicholls (week 1). Nicholls against Incarnate Word is the only game linking 24 teams to the other 27. Undo that one result and the graph splits in two.
- Southeast Missouri State at Arkansas State (week 1). Arkansas State against Southeast Missouri State is the only game linking 23 teams to the other 90. Undo that one result and the graph splits in two.
- Eastern Washington at Incarnate Word (week 1). Incarnate Word against Eastern Washington is the only game linking 23 teams to the other 28. Undo that one result and the graph splits in two.
- Arkansas State at Arkansas (week 2). Arkansas against Arkansas State is the only game linking 22 teams to the other 91. Undo that one result and the graph splits in two.
- Fresno State at Kansas (week 1). Kansas against Fresno State is the only game linking 22 teams to the other 26. Undo that one result and the graph splits in two.
What would have to be true
The field is in 10 separate pieces. 113 teams are mutually comparable through played games; the other 166 are not comparable to them at all yet, and no amount of arithmetic changes that.
Eastern Michigan at Kentucky, week 3: the first game on the schedule that would connect a group of 51 to the group of 113. It is worth more to this poll than its TV slot suggests.
Wisconsin at Alabama, week 3: the first game on the schedule that would connect a group of 48 to the group of 113. It is worth more to this poll than its TV slot suggests.
Georgia at Tennessee, week 3: the first game on the schedule that would connect a group of 48 to the group of 51. It is worth more to this poll than its TV slot suggests.
Hawai'i against Stanford is the only game linking 56 teams to the other 57. Undo that one result and the graph splits in two.
| game | week | away’s group | home’s group |
|---|---|---|---|
| Eastern Michigan at Kentucky | 3 | 51 | 113 |
| Wisconsin at Alabama | 3 | 48 | 113 |
| Georgia at Tennessee | 3 | 48 | 51 |
| Houston Christian at Nebraska | 3 | 113 | 35 |
| William & Mary at Virginia | 3 | 51 | 35 |
| Lafayette at Georgetown | 3 | 35 | 48 |
| Alcorn State at Mississippi State | 3 | 113 | 13 |
| Texas State at Arizona State | 3 | 51 | 13 |
| App State at Southern Miss | 3 | 35 | 13 |
| Central Michigan at Michigan | 3 | 9 | 113 |
| UTEP at Texas | 3 | 51 | 9 |
| Ohio at Ohio State | 3 | 48 | 9 |
Every one of these is worth more to this poll than its television slot suggests. They are the games that turn two separate islands of results into one comparable field, and no ranking that exists today will tell you which they are.
The provisional table
The estimator runs from week 1. The headline poll does not. What is behind this click is real output from the real model on the real schedule, and it is not the poll. It is labelled provisional on every row, on purpose, because the difference between computing something and being willing to publish it as a ranking is the entire point of this page.
Show the provisional table: 136 teams, ranked by schedule oddsPROVISIONAL. THE POLL OPENS IN WEEK 5. SEE docs/constraints.md.
| # | teamunderline: 90% rank interval · league median width 113.5 | how unlikely1 in this many |
|---|---|---|
| 1 | CaliforniaACC | 0.9621 in 9 |
| 2 | South FloridaAmerican Athletic | 0.6871 in 5 |
| 3 | IllinoisBig Ten | 0.6771 in 5 |
| 4 | TempleAmerican Athletic | 0.6731 in 5 |
| 5 | UNLVMountain West | 0.6681 in 5 |
| 6 | Texas StateSun Belt | 0.6651 in 5 |
| 7 | MemphisAmerican Athletic | 0.6311 in 4 |
| 8 | UtahBig 12 | 0.6211 in 4 |
| 9 | App StateSun Belt | 0.6041 in 4 |
| 10 | HoustonBig 12 | 0.5961 in 4 |
| 11 | TulaneAmerican Athletic | 0.5721 in 4 |
| 12 | Ole MissSEC | 0.5581 in 4 |
| 13 | Iowa StateBig 12 | 0.5261 in 3 |
| 14 | VanderbiltSEC | 0.5131 in 3 |
| 15 | WyomingMountain West | 0.5041 in 3 |
| 16 | Mississippi StateSEC | 0.4811 in 3 |
| 17 | AuburnSEC | 0.4581 in 3 |
| 18 | Georgia TechACC | 0.4481 in 3 |
| 19 | LSUSEC | 0.4191 in 3 |
| 20 | North TexasAmerican Athletic | 0.3891 in 2 |
| 21 | Fresno StateMountain West | 0.3531 in 2 |
| 22 | South CarolinaSEC | 0.3521 in 2 |
| 23 | Florida StateACC | 0.3061 in 2 |
| 24 | NebraskaBig Ten | 0.3001 in 2 |
| 25 | TCUBig 12 | 0.2901 in 2 |
Top 25 of 136. The full table, the résumé column, the schedule receipts and the sort controls arrive with the week 5 launch.