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Hello,

I have one question regarding DIC. I have a dataset that contains two
outcome variables, that are correlated, X and Y, so I thought of models
that use both of them as stochastic nodes. I am interested in fitting two
different models M1 and M2, but M2 does not work with Y but needs a
transformation of it, let's call it Z.

I want to compare the fit of the two models, and I thought of using DIC.
Since only X is common to both models, I restricted my comparison to the
part of DIC that was contributed by X only.

The posterior distribution of the parameter I want to estimate
*potentially* depends indirectly on both stochastic nodes (X,Y in M1, X,Z
in M2), so I am wondering:
a) how meaningful is to calculated DIC for X only.
b) how useful is in terms of measuring the fit of the models, given my
estimated of interest may depend on the other variable as well.

I would appreciate your comments on that.


Nicholas

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