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  • First-differencing an industry-time dummy

    Hi everyone,

    I am using Arrelano-Bond/ Anderson-Hsiao GMM/IV 2SLS models to estimate the impact on US anti-dumping measures on China's exports of product i.

    Within my model I have lagged the dependent variable as an explanatory variable along with a vector of other controls Xit (macro-level and industry-level).

    Yiht = a + Yiht-1 + Xit + eiht.

    My problem is that the certain industry-level controls are inadequate and poorly disclosed, hence I am using industry-time fixed effects as an alternative approach.

    Yiht = a + Yiht-1 + Xit + Sit + eiht - where Sit is the industry-time dummy.

    However, since I am using a dynamic panel approach, I understand that first-differencing a dummy removes it. So my question is:

    1 - Because my industry-time dummy is time-variant, does it remain?
    2 - If so, I'd really appreciate the command code for Arrelano-Bond GMM and Andersan-Hsiao IV/2 SLS estimators in this setting.

    I have taken a look through Roodman's Xtabond2, which is very insightful, however there was no information about first-differencing an time interaction dummy.

    Thank you in advance!

    Best
    Ray
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