Competitive ranking and rating methods
ranking.m - Massey, Colley, Centroids
ensemble.m - Ensemble voting methods: ratio of offensive and defensive strength, Markov, Perron
Consensual ranking and rating method
majority_judgement.m - Majority Judgement
Optimization of ranking
ranking.m - Local Kemenization
Analysis of rankings
kcc.m - Kendall’s coefficient of concordance between rankings
ratings2scores.m - Transform ratings of single items to scores between two items
ranking_demo.m - Demonstration of the functions on sample data
* Implements methods published in the references below.
* Includes open source code by Amy N. Langville (pagerank.m) and Aravind Seshadri (perron.m).
Michel Balinski, Rida Laraki (2010). Majority Judgment Measuring, Ranking, and Electing, Cambridge, MA: MIT Press.
Cynthia Dwork, Ravi Kumar, Moni Naor, D. Sivakumar (n.d.). "Rank aggregation revisited", CiteSeerX, http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.113.2507.
John G. Kemeny (1959). "Mathematics without Numbers", Daedalus, 88 (4): 577–591.
Maurice G. Kendall (1970). Rank Correlation Methods, New York, NY: McGraw-Hill, 4th ed, pp. 94–116. [Summary and additional details.]
Amy N. Langville, Carl D. Meyer (2006). Google’s PageRank and Beyond: The Science of Search Engine Rankings, Princeton, NJ: Princeton University Press.
Amy N. Langville, Carl D. Meyer (2012). Who’s #1?: The Science of Rating and Ranking, Princeton, NJ: Princeton University Press.
Aravind Seshadri (2020). Perron root computation (https://www.mathworks.com/matlabcentral/fileexchange/22763-perron-root-computation), MATLAB Central File Exchange. Retrieved July 19, 2020.
Vlad Atanasiu (2021). Non-parametric ranking and rating functions (https://www.mathworks.com/matlabcentral/fileexchange/78384-non-parametric-ranking-and-rating-functions), MATLAB Central File Exchange. Retrieved .
Inspired by: Perron root computation
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