. xtabond2 lncases lnincome lngdp lnpcdi law , gmmstyle(lncases lnincome lngdp lnpcdi law ) two
> step
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Warning: Number of instruments may be large relative to number of observations.
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.
Dynamic panel-data estimation, two-step system GMM
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Group variable: area Number of obs = 310
Time variable : year Number of groups = 31
Number of instruments = 208 Obs per group: min = 10
Wald chi2(4) = 6867.13 avg = 10.00
Prob > chi2 = 0.000 max = 10
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lncases | Coef. Std. Err. z P>|z| [95% Conf. Interval]
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lnincome | .3715157 .0602629 6.16 0.000 .2534026 .4896287
lngdp | .8788493 .048182 18.24 0.000 .7844144 .9732842
lnpcdi | .5956925 .0914476 6.51 0.000 .4164585 .7749266
law | -.2291436 .0183269 -12.50 0.000 -.2650637 -.1932234
_cons | -4.476327 .3986447 -11.23 0.000 -5.257656 -3.694998
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Warning: Uncorrected two-step standard errors are unreliable.
Instruments for first differences equation
GMM-type (missing=0, separate instruments for each period unless collapsed)
L(1/9).(lncases lnincome lngdp lnpcdi law)
Instruments for levels equation
Standard
_cons
GMM-type (missing=0, separate instruments for each period unless collapsed)
D.(lncases lnincome lngdp lnpcdi law)
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Arellano-Bond test for AR(1) in first differences: z = -0.47 Pr > z = 0.636
Arellano-Bond test for AR(2) in first differences: z = -3.84 Pr > z = 0.000
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Sargan test of overid. restrictions: chi2(203) =1727.53 Prob > chi2 = 0.000
(Not robust, but not weakened by many instruments.)
Hansen test of overid. restrictions: chi2(203) = 30.24 Prob > chi2 = 1.000
(Robust, but weakened by many instruments.)
Difference-in-Hansen tests of exogeneity of instrument subsets:
GMM instruments for levels
Hansen test excluding group: chi2(168) = 30.50 Prob > chi2 = 1.000
Difference (null H = exogenous): chi2(35) = -0.26 Prob > chi2 = 1.000