Connectivity report · 2025 week 1
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 1, 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. | 267 |
|---|---|
| games played | 141 |
| connected componentsSeparate islands of the schedule graph. Two teams in different components have no chain of results connecting them at all, at any length. | 126 |
| largest componentShare of the field that is mutually comparable through played games. | 6 teams (2.2%) |
| 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. | 8 |
| 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. | 8.000 |
| 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. | 52 places |
| teams whose interval spans the league90% interval at least 90% as wide as the whole field. | 2 |
| 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. | 245 |
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 8 of them holding at least two teams on right now.
- UNLV at Sam Houston (week 1). Sam Houston against UNLV is the only game linking 3 teams to the other 3. Undo that one result and the graph splits in two.
- Iowa State at Kansas State (week 1). Kansas State against Iowa State is the only game linking 2 teams to the other 2. 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 2 teams to the other 2. 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 2 teams to the other 4. Undo that one result and the graph splits in two.
- Idaho State at UNLV (week 1). UNLV against Idaho State is the only game linking 2 teams to the other 4. Undo that one result and the graph splits in two.
- Tarleton State at Portland State (week 1). Portland State against Tarleton State is the only game linking 2 teams to the other 2. Undo that one result and the graph splits in two.
- North Carolina Central at Southern (week 1). Southern against North Carolina Central is the only game linking 2 teams to the other 2. 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 2 teams to the other 2. Undo that one result and the graph splits in two.
What would have to be true
The field is in 126 separate pieces. 6 teams are mutually comparable through played games; the other 261 are not comparable to them at all yet, and no amount of arithmetic changes that.
Army at Kansas State, week 2: the first game on the schedule that would connect a group of 4 to the group of 4. It is worth more to this poll than its TV slot suggests.
Mississippi Valley State at Tarleton State, week 2: the first game on the schedule that would connect a group of 4 to the group of 4. It is worth more to this poll than its TV slot suggests.
Sam Houston at Hawai'i, week 2: the first game on the schedule that would connect a group of 3 to the group of 6. It is worth more to this poll than its TV slot suggests.
Sam Houston against UNLV is the only game linking 3 teams to the other 3. Undo that one result and the graph splits in two.
| game | week | away’s group | home’s group |
|---|---|---|---|
| Army at Kansas State | 2 | 4 | 4 |
| Mississippi Valley State at Tarleton State | 2 | 4 | 4 |
| Sam Houston at Hawai'i | 2 | 6 | 3 |
| Stanford at BYU | 2 | 3 | 4 |
| UCLA at UNLV | 2 | 2 | 6 |
| Western Kentucky at Toledo | 2 | 6 | 2 |
| Idaho State at New Mexico | 2 | 6 | 2 |
| North Alabama at Southeast Missouri State | 2 | 6 | 2 |
| Southern Utah at San Diego | 2 | 6 | 2 |
| Kansas at Missouri | 2 | 4 | 2 |
| Georgia Southern at USC | 2 | 4 | 2 |
| Iowa at Iowa State | 2 | 2 | 4 |
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 52 | how unlikely1 in this many |
|---|---|---|
| 1 | Central MichiganMid-American | 0.1841 in 2 |
| 2 | RiceAmerican Athletic | 0.1721 in 1 |
| 3 | LSUSEC | 0.1491 in 1 |
| 4 | Georgia TechACC | 0.1441 in 1 |
| 5 | AuburnSEC | 0.1321 in 1 |
| 6 | WyomingMountain West | 0.1181 in 1 |
| 7 | Mississippi StateSEC | 0.0841 in 1 |
| 8 | CaliforniaACC | 0.0801 in 1 |
| 9 | Iowa StateBig 12 | 0.0761 in 1 |
| 10 | NebraskaBig Ten | 0.0691 in 1 |
| 11 | UtahBig 12 | 0.0601 in 1 |
| 12 | TempleAmerican Athletic | 0.0531 in 1 |
| 13 | UNLVMountain West | 0.0461 in 1 |
| 14 | TCUBig 12 | 0.0411 in 1 |
| 15 | South CarolinaSEC | 0.0401 in 1 |
| 16 | TennesseeSEC | 0.0281 in 1 |
| 17 | MiamiACC | 0.0261 in 1 |
| 18 | Washington StatePac-12 | 0.0251 in 1 |
| 19 | Wake ForestACC | 0.0241 in 1 |
| 20 | Kent StateMid-American | 0.0241 in 1 |
| 21 | RutgersBig Ten | 0.0241 in 1 |
| 22 | Northern IllinoisMid-American | 0.0241 in 1 |
| 23 | App StateSun Belt | 0.0221 in 1 |
| 24 | Ohio StateBig Ten | 0.0221 in 1 |
| 25 | KansasBig 12 | 0.0191 in 1 |
Top 25 of 136. The full table, the résumé column, the schedule receipts and the sort controls arrive with the week 5 launch.