3 papers
stat.ME2024
Tractable Ridge Regression for Paired Comparisons
Cristiano Varin, David Firth
Paired comparison models, such as Bradley-Terry and Thurstone-Mosteller, are commonly used to estimate relative strengths of pairwise compared items in tournament-style data. We di…
stat.ME2023
Analysis of composition on the original scale of measurement
David Firth, Fiona Sammut
In current applied research the most-used route to an analysis of composition is through log-ratios -- that is, contrasts among log-transformed measurements. Here we argue instead…
math.ST2023
The many routes to the ubiquitous Bradley-Terry model
Ian Hamilton, Nick Tawn, David Firth
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 t…