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正在写毕业论文,进行GMM估计,由于没有系统学习过GMM所以有很多疑问回归的因变量是经济增长(lnGDP),自变量是国有经济固定投资比重(ginv)以及他的平方项(ginv2)、总投资的增长(lnInvest),控制变量为dTrade(进出口总额的一阶差分),dTech(专利数量一阶差分),dConsume(消费总额一阶差分),加入了区域程度的两个虚拟变量t10*ginv、t20*ginv
这些回归后得到的GMM的AR(2)和sargan不过关,请指教
进行GMM估计得到结果如下:
1 未加入虚拟变量时
xtabond2 lnGDP ginv ginv2 lninv dcon dTrade dPATENT ,gmm( lnGDP ginv ginv2 lninv dcon dTrade ,lag(2 2)) iv( t10ginv t20g
> inv)
Favoring space over speed. To switch, type or click on mata: mata set matafavor speed, perm.
Warning: Number of instruments may be large relative to number of observations.
Dynamic panel-data estimation, one-step system GMM
------------------------------------------------------------------------------
Group variable: prov Number of obs = 649
Time variable : year Number of groups = 31
Number of instruments = 239 Obs per group: min = 20
Wald chi2(6) = 5.84e+06 avg = 20.94
Prob > chi2 = 0.000 max = 21
------------------------------------------------------------------------------
lnGDP | Coef. Std. Err. z P>|z| [95% Conf. Interval]
-------------+----------------------------------------------------------------
ginv | 1.447699 .1308415 11.06 0.000 1.191254 1.704144
ginv2 | -2.992862 .1240254 -24.13 0.000 -3.235947 -2.749776
lninv | .570674 .0064089 89.04 0.000 .5581128 .5832351
dcon | .000406 .000012 33.87 0.000 .0003825 .0004294
dTrade | 2.32e-08 1.81e-09 12.82 0.000 1.97e-08 2.68e-08
dPATENT | 3.56e-06 5.73e-07 6.21 0.000 2.44e-06 4.68e-06
_cons | 3.832363 .0685514 55.90 0.000 3.698004 3.966721
------------------------------------------------------------------------------
Instruments for first differences equation
Standard
D.(t10ginv t20ginv)
GMM-type (missing=0, separate instruments for each period unless collapsed)
L2.(lnGDP ginv ginv2 lninv dcon dTrade)
Instruments for levels equation
Standard
t10ginv t20ginv
_cons
GMM-type (missing=0, separate instruments for each period unless collapsed)
DL.(lnGDP ginv ginv2 lninv dcon dTrade)
------------------------------------------------------------------------------
Arellano-Bond test for AR(1) in first differences: z = -8.93 Pr > z = 0.000
Arellano-Bond test for AR(2) in first differences: z = 1.70 Pr > z = 0.089
------------------------------------------------------------------------------
Sargan test of overid. restrictions: chi2(232) =5639.16 Prob > chi2 = 0.000
(Not robust, but not weakened by many instruments.)
Difference-in-Sargan tests of exogeneity of instrument subsets:
GMM instruments for levels
Sargan test excluding group: chi2(114) =1247.70 Prob > chi2 = 0.000
Difference (null H = exogenous): chi2(118) =4391.46 Prob > chi2 = 0.000
iv(t10ginv t20ginv)
Sargan test excluding group: chi2(230) =5562.93 Prob > chi2 = 0.000
Difference (null H = exogenous): chi2(2) = 76.23 Prob > chi2 = 0.000
2 加入虚拟变量时
xtabond2 lnGDP l.lnGDP ginv ginv2 lninv dcon dTrade dPATENT t10ginv t20ginv ,gmm(lnGDP ginv ginv2,lag(2 2)) iv( t10ginv
> t20ginv)
Favoring space over speed. To switch, type or click on mata: mata set matafavor speed, perm.
Warning: Number of instruments may be large relative to number of observations.
Dynamic panel-data estimation, one-step system GMM
------------------------------------------------------------------------------
Group variable: prov Number of obs = 649
Time variable : year Number of groups = 31
Number of instruments = 123 Obs per group: min = 20
Wald chi2(9) = 3.33e+07 avg = 20.94
Prob > chi2 = 0.000 max = 21
------------------------------------------------------------------------------
lnGDP | Coef. Std. Err. z P>|z| [95% Conf. Interval]
-------------+----------------------------------------------------------------
lnGDP |
L1. | .8753864 .0071002 123.29 0.000 .8614702 .8893026
|
ginv | -.1160903 .0735522 -1.58 0.114 -.2602499 .0280693
ginv2 | -.2709507 .0684881 -3.96 0.000 -.4051849 -.1367166
lninv | .0540894 .0050338 10.75 0.000 .0442233 .0639555
dcon | .0000158 7.50e-06 2.10 0.036 1.05e-06 .0000305
dTrade | 1.20e-08 1.06e-09 11.30 0.000 9.93e-09 1.41e-08
dPATENT | -3.08e-07 3.39e-07 -0.91 0.364 -9.73e-07 3.57e-07
t10ginv | .0665013 .0116319 5.72 0.000 .0437032 .0892994
t20ginv | -.0056776 .009064 -0.63 0.531 -.0234428 .0120876
_cons | .826554 .0438474 18.85 0.000 .7406148 .9124933
------------------------------------------------------------------------------
Instruments for first differences equation
Standard
D.(t10ginv t20ginv)
GMM-type (missing=0, separate instruments for each period unless collapsed)
L2.(lnGDP ginv ginv2)
Instruments for levels equation
Standard
t10ginv t20ginv
_cons
GMM-type (missing=0, separate instruments for each period unless collapsed)
DL.(lnGDP ginv ginv2)
------------------------------------------------------------------------------
Arellano-Bond test for AR(1) in first differences: z = -7.47 Pr > z = 0.000
Arellano-Bond test for AR(2) in first differences: z = -3.25 Pr > z = 0.001
------------------------------------------------------------------------------
Sargan test of overid. restrictions: chi2(113) = 621.46 Prob > chi2 = 0.000
(Not robust, but not weakened by many instruments.)
Difference-in-Sargan tests of exogeneity of instrument subsets:
GMM instruments for levels
Sargan test excluding group: chi2(53) = 200.98 Prob > chi2 = 0.000
Difference (null H = exogenous): chi2(60) = 420.48 Prob > chi2 = 0.000
iv(t10ginv t20ginv)
Sargan test excluding group: chi2(111) = 619.31 Prob > chi2 = 0.000
Difference (null H = exogenous): chi2(2) = 2.15 Prob > chi2 = 0.341
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