. ivreg2 ln_transfer child_colive_ratio child_agri_ratio child_edu_ratio (child_num_all= ch
> ild_sex_ratio age child_first_gender ) ,r first
First-stage regressions
-----------------------
First-stage regression of child_num_all:
OLS estimation
--------------
Estimates efficient for homoskedasticity only
Statistics robust to heteroskedasticity
Number of obs = 3588
F( 6, 3581) = 249.81
Prob > F = 0.0000
Total (centered) SS = 8018.537347 Centered R2 = 0.3050
Total (uncentered) SS = 48824 Uncentered R2 = 0.8859
Residual SS = 5572.885642 Root MSE = 1.247
------------------------------------------------------------------------------------
| Robust
child_num_all | Coef. Std. Err. t P>|t| [95% Conf. Interval]
-------------------+----------------------------------------------------------------
child_colive_ratio | -.3271085 .0902036 -3.63 0.000 -.5039641 -.1502528
child_agri_ratio | .4136907 .0722795 5.72 0.000 .2719777 .5554037
child_edu_ratio | -.6427363 .0766018 -8.39 0.000 -.7929238 -.4925488
child_sex_ratio | -.5409054 .0911836 -5.93 0.000 -.7196824 -.3621283
age | .0694129 .0026733 25.97 0.000 .0641715 .0746543
child_first_gender | -.0843575 .0497296 -1.70 0.090 -.1818588 .0131437
_cons | -.9277271 .2057896 -4.51 0.000 -1.331204 -.5242505
------------------------------------------------------------------------------------
Included instruments: child_colive_ratio child_agri_ratio child_edu_ratio
child_sex_ratio age child_first_gender
------------------------------------------------------------------------------
F test of excluded instruments:
F( 3, 3581) = 248.64
Prob > F = 0.0000
Angrist-Pischke multivariate F test of excluded instruments:
F( 3, 3581) = 248.64
Prob > F = 0.0000
Summary results for first-stage regressions
-------------------------------------------
(Underid) (Weak id)
Variable | F( 3, 3581) P-val | AP Chi-sq( 3) P-val | AP F( 3, 3581)
child_num_al | 248.64 0.0000 | 747.37 0.0000 | 248.64
NB: first-stage test statistics heteroskedasticity-robust
Stock-Yogo weak ID test critical values for single endogenous regressor:
5% maximal IV relative bias 13.91
10% maximal IV relative bias 9.08
20% maximal IV relative bias 6.46
30% maximal IV relative bias 5.39
10% maximal IV size 22.30
15% maximal IV size 12.83
20% maximal IV size 9.54
25% maximal IV size 7.80
Source: Stock-Yogo (2005). Reproduced by permission.
NB: Critical values are for Cragg-Donald F statistic and i.i.d. errors.
Underidentification test
Ho: matrix of reduced form coefficients has rank=K1-1 (underidentified)
Ha: matrix has rank=K1 (identified)
Kleibergen-Paap rk LM statistic Chi-sq(3)=562.84 P-val=0.0000
Weak identification test
Ho: equation is weakly identified
Cragg-Donald Wald F statistic 329.21
Kleibergen-Paap Wald rk F statistic 248.64
Stock-Yogo weak ID test critical values for K1=1 and L1=3:
5% maximal IV relative bias 13.91
10% maximal IV relative bias 9.08
20% maximal IV relative bias 6.46
30% maximal IV relative bias 5.39
10% maximal IV size 22.30
15% maximal IV size 12.83
20% maximal IV size 9.54
25% maximal IV size 7.80
Source: Stock-Yogo (2005). Reproduced by permission.
NB: Critical values are for Cragg-Donald F statistic and i.i.d. errors.
Weak-instrument-robust inference
Tests of joint significance of endogenous regressors B1 in main equation
Ho: B1=0 and orthogonality conditions are valid
Anderson-Rubin Wald test F(3,3581)= 11.51 P-val=0.0000
Anderson-Rubin Wald test Chi-sq(3)= 34.59 P-val=0.0000
Stock-Wright LM S statistic Chi-sq(3)= 33.55 P-val=0.0000
NB: Underidentification, weak identification and weak-identification-robust
test statistics heteroskedasticity-robust
Number of observations N = 3588
Number of regressors K = 5
Number of endogenous regressors K1 = 1
Number of instruments L = 7
Number of excluded instruments L1 = 3
IV (2SLS) estimation
--------------------
Estimates efficient for homoskedasticity only
Statistics robust to heteroskedasticity
Number of obs = 3588
F( 4, 3583) = 63.22
Prob > F = 0.0000
Total (centered) SS = 7734.680562 Centered R2 = 0.0148
Total (uncentered) SS = 213275.3688 Uncentered R2 = 0.9643
Residual SS = 7620.207519 Root MSE = 1.457
------------------------------------------------------------------------------------
| Robust
ln_transfer | Coef. Std. Err. z P>|z| [95% Conf. Interval]
-------------------+----------------------------------------------------------------
child_num_all | -.2026497 .0375321 -5.40 0.000 -.2762114 -.1290881
child_colive_ratio | -.8632056 .1209964 -7.13 0.000 -1.100354 -.6260571
child_agri_ratio | -.3105175 .0816707 -3.80 0.000 -.4705892 -.1504458
child_edu_ratio | .7301376 .1192201 6.12 0.000 .4964704 .9638047
_cons | 8.535366 .1632104 52.30 0.000 8.215479 8.855253
------------------------------------------------------------------------------------
Underidentification test (Kleibergen-Paap rk LM statistic): 562.844
Chi-sq(3) P-val = 0.0000
------------------------------------------------------------------------------
Weak identification test (Cragg-Donald Wald F statistic): 329.207
(Kleibergen-Paap rk Wald F statistic): 248.638
Stock-Yogo weak ID test critical values: 5% maximal IV relative bias 13.91
10% maximal IV relative bias 9.08
20% maximal IV relative bias 6.46
30% maximal IV relative bias 5.39
10% maximal IV size 22.30
15% maximal IV size 12.83
20% maximal IV size 9.54
25% maximal IV size 7.80
Source: Stock-Yogo (2005). Reproduced by permission.
NB: Critical values are for Cragg-Donald F statistic and i.i.d. errors.
------------------------------------------------------------------------------
Hansen J statistic (overidentification test of all instruments): 2.375
Chi-sq(2) P-val = 0.3050
------------------------------------------------------------------------------
Instrumented: child_num_all
Included instruments: child_colive_ratio child_agri_ratio child_edu_ratio
Excluded instruments: child_sex_ratio age child_first_gender
------------------------------------------------------------------------------
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