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Mô hình Bradley-Terry×Elo Rating×Hồi quy Logistic×
Lĩnh vựcRa quyết địnhRa quyết địnhThống kê nghiên cứu
HọRegression modelRegression modelProcess / pipeline
Năm ra đời195219781958
Người khởi xướngRalph Bradley & Milton TerryArpad EloDavid Roxbee Cox
LoạiProbabilistic paired comparison modelPairwise comparison ranking modelMethod
Công trình gốcBradley, R. A., & Terry, M. E. (1952). Rank analysis of incomplete block designs: I. The method of paired comparisons. Biometrika, 39(3/4), 324–345. DOI ↗Elo, A. E. (1978). The Rating of Chessplayers, Past and Present. Arco Publishing. ISBN: 978-0-668-04721-0Cox, D. R. (1958). The regression analysis of binary sequences. Journal of the Royal Statistical Society, Series B, 20(2), 215–242. DOI ↗
Tên gọi khácBT Model, Bradley-Terry-Luce Model, Paired Comparison Model, İkili Karşılaştırma ModeliElo Rating System, Elo Chess Rating, Elo Skill Rating, Elo Derecelendirme Sistemilogit model, binomial logistic regression, LR
Liên quan323
Tóm tắtThe 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.Logistic regression is a statistical method for modeling the probability of a binary outcome (disease present/absent, success/failure) as a function of continuous and categorical predictors. Developed by David Roxbee Cox (1958), it solves the problem of predicting categorical outcomes by applying a logistic transformation to constrain predictions to the [0,1] probability interval, enabling accurate risk stratification, diagnostic prediction, and causal inference in epidemiology, medicine, and social science.
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ScholarGateSo sánh phương pháp: Bradley-Terry Model · Elo Rating · Logistic Regression. Truy cập ngày 2026-06-19 từ https://scholargate.app/vi/compare