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2006 BCS Computer Rankings
In American college football, the 2006 BCS computer rankings are a part of the Bowl Championship Series (BCS) formula that determines who plays in the BCS National Championship Game as well as several other bowl games. Each computer system was developed using different methods which attempts to rank the teams' performance. For 2006, the highest and lowest rankings for a team are dropped and the remaining four rankings are summed. A team ranked #1 by a computer system is given 25 points, #2 is given 24 points and so forth. The summed values are then divided by 100 (the maximum value a team can earn if they received four first place votes that were summed). The values are then ranked by percentage. This percentage ranking is then averaged with the Coaches Poll and Harris Poll average rankings, each receiving equal weight, and the results become the 2006 NCAA Division I-A football rankings#BCS rankings, BCS Rankings. BCS computer rankings average For 2006, the rankings were released beg ...
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College Football
College football is gridiron football that is played by teams of amateur Student athlete, student-athletes at universities and colleges. It was through collegiate competition that gridiron football American football in the United States, first gained popularity in the United States. Like gridiron football generally, college football is most popular in the United States and Canada. While no single governing body exists for college football in the United States, most schools, especially those at the highest levels of play, are members of the National Collegiate Athletic Association, NCAA. In Canada, collegiate football competition is governed by U Sports for universities. The Canadian Collegiate Athletic Association (for colleges) governs soccer and other sports but not gridiron football. Other countries, such as Organización Nacional Estudiantil de Fútbol Americano, Mexico, American football in Japan, Japan and Korea American Football Association, South Korea, also host colle ...
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Bayesian Probability
Bayesian probability ( or ) is an interpretation of the concept of probability, in which, instead of frequency or propensity of some phenomenon, probability is interpreted as reasonable expectation representing a state of knowledge or as quantification of a personal belief. The Bayesian interpretation of probability can be seen as an extension of propositional logic that enables reasoning with hypotheses; that is, with propositions whose truth or falsity is unknown. In the Bayesian view, a probability is assigned to a hypothesis, whereas under frequentist inference, a hypothesis is typically tested without being assigned a probability. Bayesian probability belongs to the category of evidential probabilities; to evaluate the probability of a hypothesis, the Bayesian probabilist specifies a prior probability. This, in turn, is then updated to a posterior probability in the light of new, relevant data (evidence). The Bayesian interpretation provides a standard set of procedur ...
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National Association Of Intercollegiate Athletics
The National Association of Intercollegiate Athletics (NAIA) established in 1940, is a college athletics association for higher education, colleges and universities in North America. Most colleges and universities in the NAIA offer athletic scholarships to their student athletes. Around $1.3 billion in athletic scholarship financial aid is awarded to student athletes annually. For the 2024–25 season, it had List of NAIA institutions, 237 member institutions, of which two are in British Columbia, one in the U.S. Virgin Islands, and the rest in the conterminous United States, continental United States, with over 83,000 student-athletes participating. The NAIA, whose headquarters is in Kansas City, Missouri, sponsors 28 national championships. CBS Sports Network, formerly called CSTV, serves as the national media outlet for the NAIA. In 2014, ESPNU began carrying the NAIA football national championship, NAIA Football National Championship. History In 1937, James Naismith and local ...
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NCAA Division III
NCAA Division III (D-III) is the lowest division of the National Collegiate Athletic Association (NCAA) in the United States. D-III consists of athletic programs at colleges and universities that do not offer athletic scholarships to student-athletes. The NCAA's first split was into two divisions, the University and College Divisions, in 1956. The College Division was formed for smaller schools that did not have the resources of the major athletic programs across the country. The College Division split again in 1973 when the NCAA went to its current naming convention: Division I, Division II, and Division III. D-I and D-II schools are allowed to offer athletic scholarships, while D-III schools are not. D-III is the NCAA's largest division with around 450 member institutions, which are 80% private and 20% public. The median undergraduate enrollment of D-III schools is about 2,750, although the range is from 418 to over 38,000. Approximately 40% of all NCAA student-athletes ...
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NCAA Division II
NCAA Division II (D-II) is the intermediate-level division of competition in the National Collegiate Athletic Association (NCAA). It offers an alternative to both the larger and better-funded Division I and to the scholarship-free environment offered in Division III. Before 1973, the NCAA's smaller schools were grouped together in the College Division. In 1973, the College Division split in two when the NCAA began using numeric designations for its competitions. The College Division members who wanted to offer athletic scholarships or compete against those who did became Division II, while those who chose not to offer athletic scholarships became Division III. Nationally, ESPN2 and ESPN+ televises the championship game in football, CBS and Paramount+ televises the men's basketball championship, and ESPN+ televises both the women's basketball and women's volleyball championships. The official slogan of NCAA Division II, implemented in 2015, is "Make It Yours." The N ...
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NCAA Division I
NCAA Division I (D-I) is the highest division of intercollegiate athletics sanctioned by the National Collegiate Athletic Association (NCAA) in the United States, which accepts players globally. D-I schools include the major collegiate athletic powers, with large budgets, more elaborate facilities and more athletic scholarships than Division II and Division III as well as many smaller schools committed to the highest level of intercollegiate competition. This level was previously called the University Division of the NCAA, in contrast to the lower-level College Division; these terms were replaced with numeric divisions in 1973. The University Division was renamed Division I, while the College Division was split in two; the College Division members that offered scholarships or wanted to compete against those who did became Division II, while those who did not want to offer scholarships became Division III. For college football only, D-I schools are further divided into the ...
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Bradley–Terry Model
The Bradley–Terry model is a probability model for the outcome of pairwise comparisons between items, teams, or objects. Given a pair of items and drawn from some population, it estimates the probability that the pairwise comparison turns out true, as where is a positive real-valued score assigned to individual . The comparison can be read as " is preferred to ", " ranks higher than ", or " beats ", depending on the application. For example, might represent the skill of a team in a sports tournament and \Pr(i>j) the probability that wins a game against . Or might represent the quality or desirability of a commercial product and \Pr(i>j) the probability that a consumer will prefer product over product . The Bradley–Terry model can be used in the forward direction to predict outcomes, as described, but is more commonly used in reverse to infer the scores given an observed set of outcomes. In this type of application represents some measure of the strength or qualit ...
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Peter Wolfe (sports Rankings)
The Bowl Championship Series (BCS) was a college football post-season selection system that created four or five bowl game match-ups involving eight or ten of the top ranked teams in the NCAA Division I Football Bowl Subdivision (FBS) of American college football, including an opportunity for the top two teams to compete in a national championship game. The system was in place from the 1998 season to the 2013 season and was replaced in 2014 by the College Football Playoff (CFP). The BCS relied on a combination of polls and computer selection methods to determine relative team rankings, and to narrow the field to two teams to play in the BCS National Championship Game, held after the other college bowl games (the game rotated among four existing bowl games from the 1998 to 2005 season, and was a separate game from the 2006 to 2013 seasons). The American Football Coaches Association (AFCA) was contractually bound to vote the winner of this game as the BCS National Champion and th ...
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Elo Rating System
The Elo rating system is a method for calculating the relative skill levels of players in zero-sum games such as chess or esports. It is named after its creator Arpad Elo, a Hungarian-American chess master and physics professor. The Elo system was invented as an improved Chess rating system, chess-rating system over the previously used Harkness rating system, Harkness system, but is also used as a rating system in association football, association football (soccer), American football, baseball, basketball, pool (cue sports), pool, various board games and esports, and, more recently, Large language model, large language models. The difference in the ratings between two players serves as a predictor of the outcome of a match. Two players with equal ratings who play against each other are expected to score an equal number of wins. A player whose rating is 100 points greater than their opponent's is expected to score 64%; if the difference is 200 points, then the expected score for th ...
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USA Today
''USA Today'' (often stylized in all caps) is an American daily middle-market newspaper and news broadcasting company. Founded by Al Neuharth in 1980 and launched on September 14, 1982, the newspaper operates from Gannett's corporate headquarters in New York City. Its newspaper is printed at 37 sites across the United States and at five additional sites internationally. The paper's dynamic design influenced the style of local, regional, and national newspapers worldwide through its use of concise reports, colorized images, informational graphics, and inclusion of popular culture stories, among other distinct features. As of 2023, ''USA Today'' has the fifth largest print circulation in the United States, with 132,640 print subscribers. It has two million digital subscribers, the fourth-largest online circulation of any U.S. newspaper. ''USA Today'' is distributed in all 50 states, Washington, D.C., and Puerto Rico, and an international edition is distributed in Asia, ...
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Jeff Sagarin
Jeff Sagarin (born 1948) is an American sports statistician known for his development of a method for ranking and rating sports teams in a variety of sports. His Sagarin Ratings have been a regular feature in the ''USA Today'' sports section from 1985 to 2023, have been used by the NCAA Tournament Selection Committee to help determine the participants in the NCAA Men's Division I Basketball Championship tournament since 1984, and were part of the college football Bowl Championship Series throughout its history from 1998 to 2014. Background Sagarin attended New Rochelle High School, earned a Bachelor of Science in mathematics from the Massachusetts Institute of Technology in 1970 and an M.B.A. from Indiana University School of Business in 1983. He grew up outside New York City in Westchester County in New Rochelle, New York. In 1977 he moved to Bloomington, Indiana. In 1986 he created the computer game '' Hoops'' with Wayne L. Winston. Method Sagarin, like the developers of many ...
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Kenneth Massey
Kenneth Massey is an American sports statistician known for his development of a methodology for ranking and rating sports teams in a variety of sports. His ratings have been a part of the Bowl Championship Series since the 1999 season. He is an assistant professor of mathematics at Carson–Newman University in Tennessee. Methods Massey, unlike the developers of other sports rating systems, gives quite a lot of information on how his system works, but omits enough details to prevent someone from copying the calculations in their entirety. The Massey ratings are designed to measure past performance, not necessarily to predict future outcomes. The first challenge for any computer rating system is to account for the variability in performance. A team will not always play up to its full potential. Other random factors (officiating, bounce of the ball) may also affect the outcome of a game. The model must somehow eliminate the "noise" which obscures the true strength of a team. T ...
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