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  • System GMM

    Can someone help me check if my results and my code are valid:

    . xtabond2 stunting l.stunting ihsodapc l.ihsodapc l2.ihsodapc lngdppc ghe trade inf popgr unemp debt, ///
    > gmm(l.stunting l(0/2).ihsodapc ghe l.debt, collapse) iv(l(0/2).(lngdppc) l(0/2).(popgr) inf unemp l(0/2).(trade)
    > , eq(level)) ///
    > twostep small robust orthogonal
    Favoring space over speed. To switch, type or click on mata: mata set matafavor speed, perm.
    Warning: Two-step estimated covariance matrix of moments is singular.
    Using a generalized inverse to calculate optimal weighting matrix for two-step estimation.
    Difference-in-Sargan/Hansen statistics may be negative.
    DFm
    11

    Dynamic panel-data estimation, two-step system GMM

    Group variable: country_code Number of obs = 1656
    Time variable : year Number of groups = 92
    Number of instruments = 92 Obs per group: min = 18
    F(11, 91) = 18473.67 avg = 18.00
    Prob > F = 0.000 max = 18

    Corrected
    stunting Coef. Std. Err. t P>t [95% Conf. Interval]

    stunting
    L1. .9703522 .0090228 107.54 0.000 .9524295 .9882749

    ihsodapc
    -. -.1362257 .0346116 -3.94 0.000 -.2049774 -.067474
    L1. -.1126607 .0263474 -4.28 0.000 -.1649966 -.0603248
    L2. -.1267187 .032502 -3.90 0.000 -.1912799 -.0621575

    lngdppc -.4256417 .1184228 -3.59 0.001 -.660874 -.1904095
    ghe .109082 .0516651 2.11 0.037 .0064555 .2117084
    trade .004624 .0026081 1.77 0.080 -.0005567 .0098046
    inf -.0043612 .002057 -2.12 0.037 -.0084471 -.0002752
    popgr .0806829 .0484529 1.67 0.099 -.0155629 .1769286
    unemp .0167633 .0104299 1.61 0.111 -.0039544 .037481
    debt .0118125 .0026691 4.43 0.000 .0065107 .0171142
    _cons 3.623946 1.173597 3.09 0.003 1.292741 5.955152

    Instruments for orthogonal deviations equation
    GMM-type (missing=0, separate instruments for each period unless collapsed)
    L(1/19).(L.stunting ihsodapc L.ihsodapc L2.ihsodapc ghe L.debt) collapsed
    Instruments for levels equation
    Standard
    lngdppc L.lngdppc L2.lngdppc popgr L.popgr L2.popgr inf unemp trade
    L.trade L2.trade
    _cons
    GMM-type (missing=0, separate instruments for each period unless collapsed)
    D.(L.stunting ihsodapc L.ihsodapc L2.ihsodapc ghe L.debt) collapsed

    Arellano-Bond test for AR(1) in first differences: z = 1.74 Pr > z = 0.082
    Arellano-Bond test for AR(2) in first differences: z = 0.89 Pr > z = 0.373

    Sargan test of overid. restrictions: chi2(80) =1917.65 Prob > chi2 = 0.000
    (Not robust, but not weakened by many instruments.)
    Hansen test of overid. restrictions: chi2(80) = 87.48 Prob > chi2 = 0.266
    (Robust, but weakened by many instruments.)

    Difference-in-Hansen tests of exogeneity of instrument subsets:
    GMM instruments for levels
    Hansen test excluding group: chi2(74) = 83.03 Prob > chi2 = 0.221
    Difference (null H = exogenous): chi2(6) = 4.44 Prob > chi2 = 0.617
    gmm(L.stunting ihsodapc L.ihsodapc L2.ihsodapc ghe L.debt, collapse lag(1 .))
    Hansen test excluding group: chi2(0) = 0.00 Prob > chi2 = .
    Difference (null H = exogenous): chi2(80) = 87.48 Prob > chi2 = 0.266
    iv(lngdppc L.lngdppc L2.lngdppc popgr L.popgr L2.popgr inf unemp trade L.trade L2.trade, eq(level))
    Hansen test excluding group: chi2(69) = 82.43 Prob > chi2 = 0.129
    Difference (null H = exogenous): chi2(11) = 5.04 Prob > chi2 = 0.929


    Where my dependent variable is stunting, my main independent variable is ODA per capita (ihsodapc which is the IHS-transformed odapc) and my other variables are government health expenditure (ghe), trade, inflation (inf), population growth rate (popgr), unemployment (unemp), and debt.

    Basically our study aims to check the effect of aid on stunting rates among developing countries and we would greatly appreciate any piece of advice to further strengthen and enhance the study's data analysis by either adding more steps to further validate the results of the study or other techniques (usage of graphs, estimating the short-run or long-run effects of aid, and the like) for our study.
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