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  • Instrumental variable regression negative hausman sigmaless and sigmamore

    Hi,

    I am trying to run an instrumental regression, but using the hausman test returns negative chi values even when using options sigmamore and sigmaless.

    Normal Hausman :
    chi2(8) = (b-B)'[(V_b-V_B)^(-1)](b-B)
    = -64.17

    Sigmamore :
    chi2(8) = (b-B)'[(V_b-V_B)^(-1)](b-B)
    = -1.70

    Sigmaless :
    chi2(8) = (b-B)'[(V_b-V_B)^(-1)](b-B)
    = -0.71



    I have run xtoverid after a random-effects instrumental variable regression (xtivreg, re)
    . xtoverid

    Test of overidentifying restrictions:
    Cross-section time-series model: xtivreg g2sls
    Sargan-Hansen statistic 0.000 (equation exactly identified)


    Does this mean I should use a fixed-effects model?
    Or because I am using Instrumental Variables, is this a test of the validity of the instrument?
    This is the part that confuses me, as a lot of the past examples I have looked at on this site are not using instrumental variables.


    Thanks
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