On Tue, 13 Aug 2013, Walter Anderson wrote:

I have a set of survey data where I have answers to identify preference of three categories using three questions

1) a or b?
2) b or c?
3) a or c?

and want to obtain weights for each of the preferences

something like X(a) + Y(b) + Z(c) = 100%

You could use a Bradley-Terry model for paired comparisons. This estimates a so-called "worth parameter" for each alternative/object (a, b, c) and these are typically scaled to sum to 1.

A wide collection of Bradley-Terry models including regressors is provided in "BradleyTerry2", see http://www.jstatsoft.org/v48/i09/.

Basic Bradley-Terry models as well as other extended models for preferences are provided in "prefmod", see http://www.jstatsoft.org/v48/i10/.

Regression trees based on Bradley-Terry models are available in "psychotree", see example("bttree", package = "psychotree") and the references on the corresponding manual page.

Finally, the "eba" package implements further extensions of the Bradley-Terry model.

hth,
Z

I am at a loss how how to calculate this from the data. Any help would be appreciated!

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