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  2. Colley Matrix - Wikipedia

    en.wikipedia.org/wiki/Colley_Matrix

    The ranking system was widely criticized after ranking Notre Dame ahead of Alabama following the 2012 BCS National Championship Game, in which Alabama defeated Notre Dame 42–14. [37] [42] [43] The Colley Matrix is most well known for ranking Central Florida ahead of Alabama in 2017 despite Alabama's victory in the 2017 College Football Playoff.

  3. William Lowell Putnam Mathematical Competition - Wikipedia

    en.wikipedia.org/wiki/William_Lowell_Putnam...

    The problems cover a range of advanced material in undergraduate mathematics, including concepts from group theory, set theory, graph theory, lattice theory, and number theory. [ 5 ] Each of the twelve questions is worth 10 points, and the most frequent scores above zero are 10 points for a complete solution, 9 points for a nearly complete ...

  4. United States of America Computing Olympiad - Wikipedia

    en.wikipedia.org/wiki/United_States_of_America...

    Participants compete in four increasingly difficult divisions (Bronze, Silver, Gold and Platinum), each of which is provided a distinct set of 3 solvable competitive programming problems during each contest. Coding & submitting computer programs can be done in one of four languages: C, C++, Java, and Python. Competitors begin in the Bronze ...

  5. Elo rating system - Wikipedia

    en.wikipedia.org/wiki/Elo_rating_system

    An Elo-based ranking of National Hockey League players has been developed. [61] The hockey-Elo metric evaluates a player's overall two-way play: scoring AND defense in both even strength and power-play/penalty-kill situations. Rugbyleagueratings.com uses the Elo rating system to rank international and club rugby league teams.

  6. Potentially all pairwise rankings of all possible alternatives

    en.wikipedia.org/wiki/Potentially_all_pairwise...

    Finally, the order in which the decision-maker ranks the undominated pairs affects the number of rankings required. For example, if the decision-maker had ranked pair (iii) before pairs (i) and (ii) then it is easy to show that all three would have had to be explicitly ranked, as well as pair (v) (i.e. four explicitly ranked pairs in total ...

  7. Kendall tau distance - Wikipedia

    en.wikipedia.org/wiki/Kendall_tau_distance

    The Kendall tau distance between two rankings is the number of pairs that are in different order in the two rankings. For example, the Kendall tau distance between 0 3 1 6 2 5 4 and 1 0 3 6 4 2 5 is four because the pairs 0-1, 3-1, 2-4, 5-4 are in different order in the two rankings, but all other pairs are in the same order. [1]

  8. Bradley–Terry model - Wikipedia

    en.wikipedia.org/wiki/Bradley–Terry_model

    The model is named after Ralph A. Bradley and Milton E. Terry, [3] who presented it in 1952, [4] although it had already been studied by Ernst Zermelo in the 1920s. [1] [5] [6] Applications of the model include the ranking of competitors in sports, chess, and other competitions, [7] the ranking of products in paired comparison surveys of consumer choice, analysis of dominance hierarchies ...

  9. Norrington Table - Wikipedia

    en.wikipedia.org/wiki/Norrington_Table

    The rankings of each college in the Norrington Table are calculated by awarding 5 points for a student who receives a First Class degree, 3 points for a 2:1, 2 for a 2:2 and 1 for a Third; the total is then divided by the maximum possible score (i.e. the number of finalists in that college multiplied by 5), and the result for each college is expressed as a percentage, rounded to 2 decimal places.