Ranking individuals by group comparison New exponentiel model Two methods for calculations  Regularized least square  Maximum likelihood.

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Presentation transcript:

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

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

Maximum Likelihood