Ranking individuals by group comparison
New exponentiel model Two methods for calculations
Regularized least square Maximum likelihood
Ranking individuals by group comparison
Bradley-Terry model k individuals, m competitions I+ and I- opposing teams p vector of individual strengths
Ranking individuals by group comparison
Estimated by minimizing log likelihood Iterative approach May only find local minimum, not global
Ranking individuals by group comparison
Definitions: v vector of individual strengths T is theoretical team performance
Y is actual team performance
Ranking individuals by group comparison
Ranking individuals by group comparison
New exponential model can be derived
The old model
Ranking individuals by group comparison
New exponential model can be derived
The old model
Regularized least square
Regularized least square
Regularized least square
Regularized least square
Maximum Likelihood
Maximum Likelihood
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