Elote
12 posts
Bradley-Terry: Maximum Likelihood Ratings on an Elo Scale
Bradley-Terry fits every comparison at once instead of nudging after each game. Adding it to elote, and the four design choices that made it usable next to Elo.
Rating Systems Compared: Choosing the Right Algorithm
A head-to-head comparison of Elo, Glicko, TrueSkill, DWZ, Colley Matrix and other rating systems. Know when to use each algorithm.
Ensemble Rating Systems: Combining the Best of All Worlds
Combine multiple rating algorithms like Elo, Glicko, and TrueSkill to get better predictions. Learn how Elote's ensemble approach works.
The Colley Matrix: A Linear Algebra Approach to Ratings
The Colley Matrix uses linear algebra to solve for optimal ratings simultaneously. Originally designed for college football rankings.
The DWZ Rating System: German Engineering for Chess Ratings
The Deutsche Wertungszahl (DWZ) chess rating system combines German precision with practical considerations. See how it works with Elote.
TrueSkill: Microsoft's Rating System for Xbox Live
How Microsoft's TrueSkill rating system uses Bayesian inference for Xbox Live matchmaking, and how to implement it with Elote.
The ECF Rating System: The British Approach to Chess Ratings
Explore the English Chess Federation (ECF) rating system, its unique performance-based approach, and its distinct history from Elo.
Glicko-2: Adding Volatility to the Rating Equation
Explore Glicko-2, an enhancement over Glicko-1, by incorporating player volatility for more precise and accurate ratings.
The Glicko Rating System: When Confidence Matters
Explore the Glicko rating system, an Elo enhancement adding Rating Deviation (RD) to measure confidence. Learn its mechanics and implementation with Elote.
Elo Rating System: The Grandfather of Competitive Rankings
Deep dive into the Elo rating system: history, the math behind it (K-factor, expected score), and practical implementation with the Elote Python library.