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

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Presentation on theme: "Ranking individuals by group comparison New exponentiel model Two methods for calculations  Regularized least square  Maximum likelihood."— Presentation transcript:

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

2 Ranking individuals by group comparison Bradley-Terry model  k individuals, m competitions  I+ and I- opposing teams  p vector of individual strengths

3 Ranking individuals by group comparison Estimated by minimizing log likelihood  Iterative approach  May only find local minimum, not global

4 Ranking individuals by group comparison Definitions:  v vector of individual strengths  T is theoretical team performance  Y is actual team performance

5 Ranking individuals by group comparison

6 New exponential model can be derived The old model

7 Ranking individuals by group comparison New exponential model can be derived The old model

8 Regularized least square

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12 Maximum Likelihood

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