There is a substantial literature on 'statistics in sports' and pairwise comparisons are of obvious interest. Here is a starting point:
http://www.amstat.org/sections/sis/ You might browse the newsletters posted there. You might enjoy: Bridging Different Eras in Sports by Scott M. Berry, Patrick D. Larkey, C. Shane Reese; Journal of the American Statistical Association, Vol. 94, 1999 or Baseball's All-Time Best Hitters: How Statistics Can Level the Playing Field by Michael J. Schell http://press.princeton.edu/titles/6550.html On Tue, 26 Dec 2006, Jeff Newmiller wrote: > I am looking for hints on how to estimate ratings for competitors > in an ongoing pairwise competition using R... my particular area of > interest being the game of Go, but the idea of identifying ratings > (on a continuous scale) rather than relative rankings seems easily > generalized to other competitions so I thought someone might be > studying something related already. > > I presume the rating of a competitor would be best modeled as a random > variate on the rating scale, and an encounter between two > competitors would be represented by a binary result. Logistic regression > seems promising, but I am at a loss how to represent the model since > the pairings are arbitrary and not necessarily repeated often. > > I have read about some approaches to estimating ratings for Go, > but they seem to involve optimization using assumed distributions > rather than model fitting which characterizes analysis in R. > > Does any of this sound familiar? Suggestions for reading, anyone? > > -- > --------------------------------------------------------------------------- > Jeff Newmiller The ..... ..... Go Live... > DCN:<[EMAIL PROTECTED]> Basics: ##.#. ##.#. Live Go... > Live: OO#.. Dead: OO#.. Playing > Research Engineer (Solar/Batteries O.O#. #.O#. with > /Software/Embedded Controllers) .OO#. .OO#. rocks...1k > > ______________________________________________ > R-help@stat.math.ethz.ch mailing list > https://stat.ethz.ch/mailman/listinfo/r-help > PLEASE do read the posting guide http://www.R-project.org/posting-guide.html > and provide commented, minimal, self-contained, reproducible code. > Charles C. Berry (858) 534-2098 Dept of Family/Preventive Medicine E mailto:[EMAIL PROTECTED] UC San Diego http://biostat.ucsd.edu/~cberry/ La Jolla, San Diego 92093-0717 ______________________________________________ R-help@stat.math.ethz.ch mailing list https://stat.ethz.ch/mailman/listinfo/r-help PLEASE do read the posting guide http://www.R-project.org/posting-guide.html and provide commented, minimal, self-contained, reproducible code.