Let's Get Physical Power Rankings
Because trash talk is better with stats to back it up.
Week 13
| # | Owner | Record | Power | LSQ | 2SD | Colley | SOS | Luck | Tier |
|---|---|---|---|---|---|---|---|---|---|
| 1 | James Joule 2 | 8-4 | 94.120 | 0.988 | 1.000 | 1.000 | 0.926 | 0.711 | 1 |
| 2 | Stephen Hawking | 8-4 | 93.978 | 1.000 | 0.969 | 0.956 | 0.864 | 0.715 | 1 |
| 3 | Michael Faraday 2 | 7-5 | 92.235 | 0.924 | 0.777 | 0.881 | 0.919 | 0.797 | 2 |
| 4 | Albert Einstein | 7-5 | 92.012 | 0.949 | 0.769 | 0.884 | 0.935 | 0.852 | 2 |
| 5 | Paul Dirac 4 | 7-5 | 91.749 | 0.949 | 0.883 | 0.871 | 0.876 | 0.764 | 2 |
| 6 | Andre-Marie Ampere | 7-5 | 88.222 | 0.882 | 0.755 | 0.860 | 0.878 | 0.593 | 3 |
| 7 | Niels Bohr | 5-7 | 87.602 | 0.755 | 0.591 | 0.651 | 0.917 | 0.983 | 3 |
| 8 | Ernst Ising | 4-8 | 83.070 | 0.819 | 0.413 | 0.579 | 0.957 | 0.861 | 4 |
| 9 | Marie Curie | 3-9 | 80.346 | 0.672 | 0.337 | 0.490 | 1.000 | 1.000 | 5 |
| 10 | Carl Gauss | 4-8 | 77.934 | 0.687 | 0.487 | 0.572 | 0.952 | 0.580 | 5 |
Metrics
| Power | Final weighted combination of the other metrics |
| LSQ | Iterative Least Square minimization, comparing predictive ranking difference to score outcome |
| 2SD | Two step dominance matrix, recency weighting |
| Colley | Colley matrix ranking, only factors outcome |
| SOS | Relative strength of schedule, based on LSQ rankings |
| Luck | Luck ranking boost, factors opponents score and aggregrate wins |
| Tier | Clustering by finding minima in Gaussian Kernel Density Estimation |