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  • IV reg with non-linear endogenous variable

    Dear All,
    I am going to estimate the following model: Y=a+bX+cX_sqr+dW+error

    where X is an endogenous variable and X_sqr is its squared term (X^2) and W is a set of control variables. I have two instuments Z1 and Z2.

    Can I estimate the model with this command
    Code:
    ivreg2 Y W (X X_sqr=Z1 Z2)
    or I need to include also Z1 and Z2 squared
    Code:
    ivreg2 Y W (X X_sqr=Z1 Z2 Z1_sqr Z2_sqr)
    ?
    Thanks for any suggestions or helpful reference.
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