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Friday, September 10, 2010

Full bayesian way to do regression to the mean

By Tangotiger, 06:09 PM

I’ll look on Monday…

Hi Tom,

I came across an excellent series of posts (a year old, but new to me) on the fully Bayesian way to do regression to the mean. The example they use is batting average, and they provide some code to replicate what they’ve done in R. The last three posts in particular I thought were fantastic.

http://lingpipe-blog.com/2009/09/09/what-is-bayesian-statistical-inference/
http://lingpipe-blog.com/2009/09/11/batting-averages-bayesian-vs-mle-estimate/
http://lingpipe-blog.com/2009/09/15/moment-matching-empirical-bayes-beta-priors-batting-average/
http://lingpipe-blog.com/2009/09/23/bayesian-estimators-for-the-beta-binomial-model-of-batting-ability/
http://lingpipe-blog.com/2009/11/04/hierarchicalbayesian-batting-ability-with-multiple-comparisons/

Some of this relates to the recent posts by Vic Ferrari about the beta distribution formulation of the Marcels, as well as past work by people like Jim Albert and Brad Null.

- Eli

(12) Comments • 2010/09/12 • Sabermetrics • Statistical_Theory

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September 10, 2010
Full bayesian way to do regression to the mean