Ranking Methods for Competition Results
Colley method
comperank: Ranking and Rating Methods for Competition Results
Internal function to compute iterative ratings
Elo method
Compute Perron-Frobenius vector
Iterative rating method
Keener method
Markov method
Massey method
Offense-Defense method
Definition of Rating and Ranking
Rank vector after rounding
Stochastic matrix modifiers
Compute ranking and rating based on competition results. Methods of different nature are implemented: with fixed Head-to-Head structure, with variable Head-to-Head structure and with iterative nature. All algorithms are taken from the book 'Who’s #1?: The science of rating and ranking' by Amy N. Langville and Carl D. Meyer (2012, ISBN:978-0-691-15422-0).
Useful links