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The Bradley-Terry model is regression type model that estimates the relative abilities of 'players' & predicts the probability player $i$ will beat player $j$ in a competition based on the outcomes of observed matches.
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How to calculate ratings/rankings from Paired comparison / Pairwise comparison of large data...
Hopefully this isn't too late, but your data is still valuable using the Bradley-Terry model. This paper is a nice reference MM Algorithms for generalized Bradley-Terry models. Equation 4 is the one y …