Rating competitors
Spencer Graves wrote:
Have you considered Bradley-Terry models? RSiteSearch("bradley",
"functions") just returned 31 hits for me.
Hope this helps. Spencer Graves
Thanks to everyone who responded... this was very helpful. I have a bit of reading and investigation to do. I think the Bradley-Terry model is going to be sufficient for my purposes, if I can figure out how to model handicaps. The eba library mentioned by Kubovy seems more complex than what I need now, but it does look interesting and if I can obtain a copy of the Tversky paper I will read it. The SIS link mentioned by Berry didn't seem to have much, but the article on Bridging Different Eras in Sports is quite interesting.
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?
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