方法对比
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| Unfolding Model× | Bradley-Terry 模型× | |
|---|---|---|
| 领域≠ | 统计学 | 决策 |
| 方法族≠ | Latent structure | Regression model |
| 起源年份≠ | 2005 | 1952 |
| 提出者≠ | Clyde Coombs; Borg & Groenen | Ralph Bradley & Milton Terry |
| 类型≠ | Preference scaling via ideal-point representation | Probabilistic paired comparison model |
| 开创性文献≠ | Borg, I., & Groenen, P. J. F. (2005). Modern Multidimensional Scaling: Theory and Applications (2nd ed.). Springer. ISBN: 978-0-387-25150-9 | 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 ↗ |
| 别名 | Ideal Point Model, Preferential Choice Scaling, Coombs Unfolding, Katlanma Modeli | BT Model, Bradley-Terry-Luce Model, Paired Comparison Model, İkili Karşılaştırma Modeli |
| 相关≠ | 2 | 3 |
| 摘要≠ | The Unfolding Model is a geometric approach to preference analysis that represents both individuals and choice objects (stimuli) as points in a shared low-dimensional space. Originating with Clyde Coombs's foundational 1950 work on preferential choice and rigorously systematized by Borg and Groenen (2005), the model assumes each person prefers the stimulus closest to their personal ideal point, thereby 'unfolding' rank-order preference data into a joint spatial map. | 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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