Bootstrap will correct the standard error.
Latent estimations (heckman, etc) are meant to predict unobserved
values such as inverse-Mills ratio.
It should not matter how E(y|x,z) is calcualted, as long as the
conditions (i.e. exclusions, non-weak instruments) are met.
>
> These possibilities are starting to make my head hurt. :) To back
> up, I've never heard of anyone computing the predicted values from
> intreg and then using them as an independent variable in subsequent
> analyses. That may just reflect my ignorance, but it seems like at a
> minimum your standard errors would be too optimistic.
>
> For that matter, there are concerns about using intreg for dependent
> variables - if the assumptions of the method are not met (e.g.
> normality) the estimates may be wrong. And, as the manual points
> out, for something like income, you may want to use the logged values
> of the interval endpoints. See the manual for an example. So, you
> have to be careful that your use of intreg is legit in the first place.
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