Methoden vergleichen

	TrueSkill: Bayesian Skill Rating für kompetitive Ranglisten	Bradley-Terry-Modell	Elo Rating
Fachgebiet	Entscheidungsfindung	Entscheidungsfindung	Entscheidungsfindung
Familie	Regression model	Regression model	Regression model
Entstehungsjahr	2007	1952	1978
Urheber	Ralf Herbrich, Tom Minka & Thore Graepel	Ralph Bradley & Milton Terry	Arpad Elo
Typ	Probabilistic ranking model	Probabilistic paired comparison model	Pairwise comparison ranking model
Wegweisende Quelle	Herbrich, R., Minka, T., & Graepel, T. (2007). TrueSkill: A Bayesian skill rating system. Advances in Neural Information Processing Systems, 19, 569–576.	Bradley, R. A., & Terry, M. E. (1952). Rank analysis of incomplete block designs: I. The method of paired comparisons. Biometrika, 39(3/4), 324–345.	Elo, A. E. (1978). The Rating of Chessplayers, Past and Present. Arco Publishing. ISBN: 978-0-668-04721-0
Aliasnamen	Bayesian Skill Rating, TrueSkill Ranking System, Gaussian Skill Model, Beceri Derecelendirme Modeli	BT Model, Bradley-Terry-Luce Model, Paired Comparison Model, İkili Karşılaştırma Modeli	Elo Rating System, Elo Chess Rating, Elo Skill Rating, Elo Derecelendirme Sistemi
Verwandt	3	3	2
Zusammenfassung	TrueSkill is a Bayesian skill rating system developed by Herbrich, Minka, and Graepel at Microsoft Research and introduced at NeurIPS 2006. It represents each player's skill as a Gaussian distribution parameterized by a mean (estimated skill) and a variance (uncertainty). After each match outcome, the system updates these distributions via approximate message passing, yielding a principled ranking that handles team games, draws, and partial observations in online settings.	The Bradley-Terry model is a probabilistic model for paired comparisons that assigns a latent strength parameter to each item and predicts the probability that one item beats another in a head-to-head contest. Introduced by Ralph A. Bradley and Milton E. Terry in 1952, it provides a principled statistical framework for ranking items from pairwise preference data, including incomplete comparison designs where not every pair is directly observed.	The Elo Rating System is a pairwise comparison-based ranking method developed by Hungarian-American physicist and chess master Arpad Elo and formally published in 1978. Originally designed to assess the relative skill levels of chess players, it assigns each competitor a numerical rating that rises or falls after each encounter based on the expected versus actual outcome. The system assumes that player performance follows a logistic distribution, enabling probabilistic predictions of match results and continuous rating refinement over time.