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| Plackett-Luce-modellen× | Bradley-Terry-modellen× | |
|---|---|---|
| Ämnesområde | Beslutsfattande | Beslutsfattande |
| Familj | Regression model | Regression model |
| Ursprungsår≠ | 1975 | 1952 |
| Upphovsperson≠ | Robin Plackett; R. Duncan Luce | Ralph Bradley & Milton Terry |
| Typ≠ | Probabilistic ranking model | Probabilistic paired comparison model |
| Ursprungskälla≠ | Plackett, R. L. (1975). The analysis of permutations. Journal of the Royal Statistical Society: Series C, 24(2), 193–202. DOI ↗ | 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. DOI ↗ |
| Alias | Luce's Choice Axiom Model, Rank-Ordered Logit Model, Exploded Logit Model, Sıralama Tercih Modeli | BT Model, Bradley-Terry-Luce Model, Paired Comparison Model, İkili Karşılaştırma Modeli |
| Närliggande | 3 | 3 |
| Sammanfattning≠ | The Plackett-Luce model is a probabilistic framework for analysing and predicting rank-ordered data. Introduced by Robin Plackett (1975) — building on R. Duncan Luce's earlier axiom of choice (1959) — it models the probability of any complete ranking of items as a sequential selection process, where each item's chance of being chosen at each position is proportional to its latent worth parameter. It is widely used in preference learning, recommender systems, and choice modelling. | 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. |
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