Hi all,
I'm estimating a two-stage model where a coefficient from the first stage is used as a regressor in the second.
The first stage estimates region-specific coefficients (either by running separate regressions for each region or by using region interactions).
The second stage pools observations from all regions and uses the region-level coefficients from the first stage as a regressor (in addition to other individual-level variables).
Samples used for the two stages do not overlap - is it still possible to bootstrap standard errors or otherwise correct them to account for sampling error in the first stage?
There is also the issue of clustering since an aggregate-level variable is used in an individual-level regression.
Would be very grateful for any pointers or ideas.
I'm estimating a two-stage model where a coefficient from the first stage is used as a regressor in the second.
The first stage estimates region-specific coefficients (either by running separate regressions for each region or by using region interactions).
The second stage pools observations from all regions and uses the region-level coefficients from the first stage as a regressor (in addition to other individual-level variables).
Samples used for the two stages do not overlap - is it still possible to bootstrap standard errors or otherwise correct them to account for sampling error in the first stage?
There is also the issue of clustering since an aggregate-level variable is used in an individual-level regression.
Would be very grateful for any pointers or ideas.
Comment