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Analytics module · Published date 2026-09-17
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The closing reference forecast's skill advantage over a specific state-only model, scaled by remaining reference entropy at each checkpoint.
confirmednull (a finding)not testabledescriptivepending
How to read these measurements
At each checkpoint, compare closing reference and state-only model skill against the naive forecast, then divide their difference by reference entropy with a 0.15-bit floor. The observation window is not published.
The closing reference is a forecaster, not a live price. Checkpoints can contain different populations; inspect each observation count, especially late in the game. Endpoint differences alone do not establish a time trend or causal explanation. Model misspecification and information the reference prices remain confounded.
Published measurements
MLB10 published rows
| Inning | MFP | Closing reference skill | State-only model skill | Reference entropy (bits) | Observations | Entropy floor applied |
|---|---|---|---|---|---|---|
| 1 | 0.051 | 0.0333 | -0.0154 | 0.9553 | 3,589 | No |
| 2 | 0.1794 | 0.0805 | -0.0805 | 0.8971 | 2,803 | No |
| 3 | 0.1434 | 0.074 | -0.0406 | 0.7993 | 3,097 | No |
| 4 | 0.181 | 0.0386 | -0.0951 | 0.7386 | 3,034 | No |
| 5 | 0.1249 | 0.1172 | 0.035 | 0.6583 | 3,139 | No |
| 6 | 0.1404 | 0.1506 | 0.0648 | 0.6106 | 3,579 | No |
| 7 | 0.1571 | 0.2463 | 0.1612 | 0.5414 | 3,447 | No |
| 8 | 0.0831 | 0.3969 | 0.3574 | 0.4757 | 2,833 | No |
| 9 | 0.0159 | 0.5547 | 0.5474 | 0.4589 | 1,110 | No |
| 10 | 0.411 | 0.2858 | -0.0631 | 0.8488 | 46 | No |
International soccer19 published rows
| Minute | MFP | Closing reference skill | State-only model skill | Reference entropy (bits) | Observations | Entropy floor applied |
|---|---|---|---|---|---|---|
| 0 | 0.6779 | 0.4883 | -0.0643 | 0.8152 | 150 | No |
| 5 | 0.7385 | 0.4673 | -0.1496 | 0.8354 | 213 | No |
| 10 | 0.7797 | 0.4788 | -0.1725 | 0.8352 | 203 | No |
| 15 | 0.8156 | 0.4403 | -0.2155 | 0.8041 | 208 | No |
| 20 | 0.7158 | 0.3952 | -0.1972 | 0.8275 | 192 | No |
| 25 | 0.7108 | 0.3094 | -0.2715 | 0.8171 | 195 | No |
| 30 | 0.8009 | 0.2872 | -0.344 | 0.7881 | 192 | No |
| 35 | 0.732 | 0.262 | -0.2964 | 0.7629 | 173 | No |
| 40 | 0.8534 | 0.2329 | -0.4017 | 0.7437 | 189 | No |
| 45 | 0.8149 | 0.308 | -0.2975 | 0.743 | 402 | No |
| 50 | 0.9193 | -0.0211 | -0.6176 | 0.6488 | 189 | No |
| 55 | 0.7635 | -0.0626 | -0.5354 | 0.6193 | 192 | No |
| 60 | 0.796 | -0.0523 | -0.549 | 0.624 | 189 | No |
| 65 | 0.8462 | -0.1651 | -0.7257 | 0.6625 | 154 | No |
| 70 | 0.9234 | -0.358 | -0.9763 | 0.6696 | 152 | No |
| 75 | 1.0634 | -0.1693 | -0.9452 | 0.7297 | 132 | No |
| 80 | 1.3107 | -0.2629 | -1.1626 | 0.6865 | 127 | No |
| 85 | 1.7802 | -0.5103 | -1.5469 | 0.5823 | 98 | No |
| 90 | 1.4861 | -0.2424 | -0.8324 | 0.397 | 33 | No |