The many routes to the ubiquitous Bradley-Terry model
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2023
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| _version_ | 1866908480441417728 |
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| author | Hamilton, Ian Tawn, Nick Firth, David |
| author_facet | Hamilton, Ian Tawn, Nick Firth, David |
| contents | The rating of items based on pairwise comparisons has been a topic of statistical investigation for many decades. Numerous approaches have been proposed. One of the best known is the Bradley-Terry model. This paper seeks to assemble and explain a variety of motivations for its use. Some are based on principles or on maximising an objective function; others are derived from well-known statistical models, or stylised game scenarios. They include both examples well-known in the literature as well as what are believed to be novel presentations. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2312_13619 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | The many routes to the ubiquitous Bradley-Terry model Hamilton, Ian Tawn, Nick Firth, David Statistics Theory Other Statistics The rating of items based on pairwise comparisons has been a topic of statistical investigation for many decades. Numerous approaches have been proposed. One of the best known is the Bradley-Terry model. This paper seeks to assemble and explain a variety of motivations for its use. Some are based on principles or on maximising an objective function; others are derived from well-known statistical models, or stylised game scenarios. They include both examples well-known in the literature as well as what are believed to be novel presentations. |
| title | The many routes to the ubiquitous Bradley-Terry model |
| topic | Statistics Theory Other Statistics |
| url | https://arxiv.org/abs/2312.13619 |