On Thu, 22 Oct 2009, Ben Bolker wrote:




Allan.Y wrote:

Hi everyone,

I am wondering if there exists a stepwise regression function for the
Bayesian regression model.  I tried googling, but I couldn't find
anything.  I know "step" function exists for regular stepwise regression,
but nothing for Bayes.


Why?  That seems so ... un-Bayesian ...

If 'fools rush in where angels fear to tread', then Bayesians 'jump' in where frequentists fear to 'step'...

Seriously, there are Bayesian regression approaches that priorize the model size (sometimes only implicitly by assigning a prior for the inclusion of each candidate regressors). Then they 'jump' between models of different sizes.

On CRAN, Package qtlbim (which is specialized to a particular genetics problem) implements one such, I think.

Package bqtl does not implement the jumping approach, but does explore a model space with differing numbers of regressors for the same (qtl) problem.

Perhaps the closest to a general purpose 'stepwise flavored' Bayesian regression is implemented in Package BMA, which IIRC borrows step() for some of its work.

But CRAN now has more packages than my cortex has neurons, so there are
probably more packages that do something like this. Try

        RSiteSearch("jump regression", restric='functions')

and start reading.

HTH,

Chuck





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Charles C. Berry                            (858) 534-2098
                                            Dept of Family/Preventive Medicine
E mailto:cbe...@tajo.ucsd.edu               UC San Diego
http://famprevmed.ucsd.edu/faculty/cberry/  La Jolla, San Diego 92093-0901

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