Rodrigo, thanks for your answer. I had thought about that in another
exercise of a restricted sample (9400 obs) in which the instrument made
more sense for the group of older adults (not younger) since the
instrument is related to income of workers abroad and in this subsample
the heads are restricted to be working at home and younger adults are
less likely to have children of working age. In fact, in this exercise
the estimates look better for this group compared to the group of
younger adults (the R2 is higher and the F-stat is about 70, while for
the younger group the R2 is smaller and the F-stat around 400). In
addition, the endogenous variable was significant for the older adults
subsample but it was not for the younger ones.
In the sample employed in the exercise I posted I am allowing for
household heads to be working abroad (but still having the household in
the home country) so that the instrument made sense for them too (they
don?t need to have children since they are the earners themselves).
However, in this case the statistics are contradictory or at least
confusing. So, should I be worried about the F-stat being that large?
How large should the F-stat be for one to worry about it? In most of
my first stage estimations I get F-stats between 40 and 80, but then I
got this one of 5712, or another one of 584. How big is too big?
Many thanks,
Monica
Quoting "Rodrigo Alfaro A." <[email protected]>:
Monica,
It seems that you have some sort of "local instruments". That means
that
for one group your instruments can "explain" well the instrumented
variable (your R2 of 31%) meanwhile for the other group those
explain
badly the endogenous variable (5%). When you collapse them into one
big
group you end up with 8% (*). I think that you could keep the
analysis
at the subsample level, maybe there are other more relevant
instruments
for each group that lost significance in the collapse analysis.
Think a
labor-example, you could have a educational policy that helps
less-skilled worked (primary education) but has no effect in
college-education.
I hope this helps you.
Rodrigo.
(*) That could be explained by the dispersion generated by the
small R2.
For example, we can think on the collapsed R2 as an harmonic
average of
subsample R2's: 1/R2 = w1*(1/R21) + w2*(1/R22), where R21 and R22
are
the R2's of the subsamples, and w1 and w2 are the weigths based on
the
realtive size of the subsamples. Your first group (young) weights
0.46
(=4959/10799, there are 87 lost cases!), then 1/R2 = 0.46*(1/0.31)
+
0.54*(1/0.05), with that R2 = 0.08.
-----Mensaje original-----
De: [email protected]
[mailto:[email protected]] En nombre de
[email protected]
Enviado el: Martes, 01 de Abril de 2008 01:44 a.m.
Para: [email protected]
Asunto: st: F-stat of excl inst too big in robsut estimation with
dummydependent variable (xtivreg2)
Hi,
I need some help understanding why the F-statistic of the excluded
instruments is so big for a subset of my sample.
I am estimating an IV fe model using xtivreg: y x1 x2 t ct (x1=z),
fe
robust fwl(t ct) i(nidhogar) t(year). My full sample is composed
by
1334 households and 9 years (10886 obs. in total). The dependent
variable is a dummy taking the value of 1 if the household owns a
business and zero otherwise. The endogenous variable is an income
variable truncated at zero for all households but taking positive
values for some households in all or some years. In addition I
am
controlling for time-varying household characteristics, time
dummies and
community-time dummies (there are 8 communities- too few to cluster
on).
I use the fwl option to partial out the time and community-time
dummies.
The instrument is a variable similar to the endogenous variable,
that
is, an income type variable but exogenous. I am confident about my
instrument doing a good job in correcting for endogeneity. Also,
in
previous versions I had included additional instruments and tested
for
overidentification, endogeneity and redundancy and this one
performed
quite well.
Looking at the results of the full sample, I believe the estimation
is
just fine. My concern is that when I partition the sample in two
(household heads younger and older than 39 years old) the
F-statistic of
excluded instruments becomes very large for the sample of younger
heads
(5712.73). However, standard errors in both first stage and main
regression and other statistics seem fine. What could be
happening?
What am I missing? Are my results still valid? How can I fix this,
if
there is something to fix?
I read an earlier post (by Vince Wiggins answering to Mark
Schaffer) in
which the problem was the F-stat not being reported in a
heteroskedastic-robust estimation with dummy variables. My
intuition is
that in my case the opposite might be happening, but not sure? I
checked
and my dependent variable takes the value of 1 for 23% of the
observations in the sample of young heads.
The sample size for the two age groups is: 3477 observations (591
hhs)
and 7727 (1031 hhs).
Below I?m copying the results of the estimations using the full
sample
and the restricted samples. Please let me know if further
information
is needed.
I very much appreciate your comments and suggestions.
Regards,
Monica
FULL SAMPLE:
. xtivreg2 dabus_sum
dagro lnpland_manz `agesq' `hhcharact' `ctfe' `te' ( potincm_fo
=
`inst80s_fo' ) , fe i(nidhogar) r first ffirst rf fwl(`ctfe'
`te') ;
Warning - singleton groups detected. 38 observation(s) not used.
Warning - collinearities detected
Vars dropped: dcomm1_99 dcomm2_98 dcomm3_99 dcomm4_96 dcomm5_94
dcomm7_98
dcomm8_99 dyr9
FIXED EFFECTS ESTIMATION
------------------------
Number of groups = 1334 Obs
per group: min =
2
avg =
8.2
max =
9
Reduced-form regression: dabus_sum
----------------------------------
FIXED EFFECTS ESTIMATION
------------------------
Number of groups = 1334 Obs
per group: min =
2
avg =
8.2
max =
9
OLS estimation
--------------
Statistics robust to heteroskedasticity
Number of obs =
10886
F( 6, 9546) =
11.03
Prob > F =
0.0000
Total (centered) SS = 280.0052317
Centered R2 =
0.0155
Total (uncentered) SS = 280.0052317
Uncentered R2 =
0.0155
Residual SS = 275.6691323
Root MSE =
.1699
------------------------------------------------------------------------
------
| Robust
dabus_sum | Coef. Std. Err. t
P>|t| [95% Conf.
Interval]
-------------+----------------------------------------------------------
-------------+------
dagro | -.1568444 .0304295 -5.15
0.000 -.2164927
-.0971961
lnpland_manz | -.0091142 .0113462 -0.80 0.422
-.0313552
.0131269
agehead | .024494 .0045082 5.43
0.000 .0156569
.0333311
ageheadsqr | -.0001439 .0000387 -3.72 0.000
-.0002198
-.0000681
kids14less | .003819 .003182 1.20 0.230
-.0024184
.0100565
potincm80s~o | -.0143489 .0072045 -1.99 0.046
-.0284713
-.0002265
------------------------------------------------------------------------
------
Included instruments: dagro lnpland_manz agehead ageheadsqr
kids14less
potincm80s_fo
------------------------------------------------------------------------
------
First-stage regressions
-----------------------
First-stage regression of potincm_fo:
FIXED EFFECTS ESTIMATION
------------------------
Number of groups = 1334 Obs
per group: min =
2
avg =
8.2
max =
9
OLS estimation
--------------
Statistics robust to heteroskedasticity
Number of obs =
10886
F( 6, 9546) =
16.47
Prob > F =
0.0000
Total (centered) SS = 10371.54444
Centered R2 =
0.0902
Total (uncentered) SS = 10371.54444
Uncentered R2 =
0.0902
Residual SS = 9436.014852
Root MSE =
.9942
------------------------------------------------------------------------
------
| Robust
potincm_fo | Coef. Std. Err. t
P>|t| [95% Conf.
Interval]
-------------+----------------------------------------------------------
-------------+------
dagro | .031293 .0752245 0.42
0.677 -.1161631
.1787491
lnpland_manz | -.0771407 .0256491 -3.01 0.003
-.1274185
-.026863
agehead | -.0498908 .0247468 -2.02 0.044
-.0983999
-.0013818
ageheadsqr | .0011953 .000256 4.67 0.000
.0006935
.0016972
kids14less | -.0290633 .0182759 -1.59 0.112
-.0648879
.0067613
potincm80s~o | .6552578 .1159389 5.65 0.000
.4279929
.8825227
------------------------------------------------------------------------
------
Included instruments: dagro lnpland_manz agehead ageheadsqr
kids14less
potincm80s_fo
------------------------------------------------------------------------
------
Partial R-squared of excluded instruments: 0.0839
Test of excluded instruments:
F( 1, 9546) = 31.94
Prob > F = 0.0000
Summary results for first-stage regressions
-------------------------------------------
Variable | Shea Partial R2 | Partial R2 | F( 1,
9546)
P-value
potincm_fo | 0.0839 | 0.0839 |
31.94
0.0000
NB: first-stage F-stat heteroskedasticity-robust
Underidentification tests
Ho: matrix of reduced form coefficients has rank=K-1
(underidentified)
Ha: matrix has rank=K (identified)
Chi-sq(1) P-value
Anderson canon. corr. -N*ln(1-CCEV) LR stat. 837.05
0.0000
Cragg-Donald N*CDEV statistic
874.82 0.0000
Robust chi-square statistic
31.96 0.0000
Weak identification tests
Ho: equation is weakly identified
Cragg-Donald (N-L)*CDEV/L1 F-statistic 874.27
Robust F-statistic
31.94
See main output for Cragg-Donald weak id test critical values
NB: Anderson and Cragg-Donald under- and weak identification stats
not
robust
Robust identification stats heteroskedasticity-robust
Weak-instrument-robust inference
Tests of joint significance of endogenous regressors B1 in main
equation
Ho: B1=0 and overidentifying restrictions are valid
Anderson-Rubin test F(1,9546)=3.97
P-val=0.0464
Anderson-Rubin test Chi-sq(1)=3.97
P-val=0.0463
Stock-Wright S statistic Chi-sq(1)=2.98 P-val=0.0845
NB: Test statistics heteroskedasticity-robust
Number of observations N = 10886
Number of regressors K = 6
Number of instruments L = 6
Number of excluded instruments L1 = 1
IV (2SLS) estimation
--------------------
Statistics robust to heteroskedasticity
Number of obs =
10886
F( 6, 9546) =
11.10
Prob > F =
0.0000
Total (centered) SS = 280.0052317
Centered R2 =
0.0008
Total (uncentered) SS = 280.0052317
Uncentered R2 =
0.0008
Residual SS = 279.7700696
Root MSE =
.1711
------------------------------------------------------------------------
------
| Robust
dabus_sum | Coef. Std. Err. z
P>|z| [95% Conf.
Interval]
-------------+----------------------------------------------------------
-------------+------
potincm_fo | -.0218981 .0100669 -2.18 0.030
-.0416289
-.0021673
dagro | -.1561592 .0302779 -5.16
0.000 -.2155027
-.0968156
lnpland_manz | -.0108034 .010944 -0.99 0.324
-.0322532
.0106464
agehead | .0234015 .0046015 5.09
0.000 .0143827
.0324203
ageheadsqr | -.0001177 .0000403 -2.92 0.003
-.0001967
-.0000388
kids14less | .0031826 .0032288 0.99 0.324
-.0031456
.0095109
------------------------------------------------------------------------
------
Anderson canon. corr. LR statistic (underidentification test):
837.049
Chi-sq(1) P-val =
0.0000
Test statistic(s) not robust
------------------------------------------------------------------------
------
Cragg-Donald F statistic (weak identification test):
874.270
Stock-Yogo weak ID test critical values: 10% maximal IV size
16.38
15%
maximal IV size
8.96
20%
maximal IV size
6.66
25%
maximal IV size
5.53
Test statistic(s) not robust
Source: Stock-Yogo (2005). Reproduced by permission.
------------------------------------------------------------------------
------
Hansen J statistic (overidentification test of all instruments):
0.000
(equation exactly
identified)
------------------------------------------------------------------------
------
Instrumented: potincm_fo
Included instruments: dagro lnpland_manz agehead ageheadsqr
kids14less
Excluded instruments: potincm80s_fo Partialled-out (FWL): dcomm1_91
dcomm1_92 dcomm1_93 dcomm1_94 dcomm1_95
dcomm1_96 dcomm1_97 dcomm1_98
dcomm2_91 dcomm2_92
dcomm2_93 dcomm2_94 dcomm2_95
dcomm2_96 dcomm2_97
dcomm2_99 dcomm3_91 dcomm3_92
dcomm3_93 dcomm3_94
dcomm3_95 dcomm3_96 dcomm3_97
dcomm3_98 dcomm4_91
dcomm4_92 dcomm4_93 dcomm4_94
dcomm4_95 dcomm4_97
dcomm4_98 dcomm4_99 dcomm5_91
dcomm5_92 dcomm5_93
dcomm5_95 dcomm5_96 dcomm5_97
dcomm5_98 dcomm5_99
dcomm7_91 dcomm7_92 dcomm7_93
dcomm7_94 dcomm7_95
dcomm7_96 dcomm7_97 dcomm7_99
dcomm8_91 dcomm8_92
dcomm8_93 dcomm8_94 dcomm8_95
dcomm8_96 dcomm8_97
dcomm8_98 dyr2 dyr3 dyr4 dyr5
dyr6 dyr7 dyr8
nb: variable counts and
small-sample adjustments
do not include partialled-out
variables.
Dropped collinear: dcomm1_99 dcomm2_98 dcomm3_99 dcomm4_96
dcomm5_94
dcomm7_98 dcomm8_99 dyr9
------------------------------------------------------------------------
------
YOUNGER HEADS SAMPLE:
. xtivreg2 dabus_sum
dagro lnpland_manz `agesq' `hhcharact' `ctfe' `te' ( potincm_fo
=
`inst80s_fo' ) if dagehead2539 ==1 , fe i(nidhogar) r first
ffirst
rf fwl(`ctfe' `te') ;
Warning - singleton groups detected. 69 observation(s) not used.
Warning - collinearities detected
Vars dropped: dcomm1_99 dcomm2_99 dcomm3_99 dcomm4_99 dcomm5_97
dcomm7_98
dcomm8_99 dyr9
FIXED EFFECTS ESTIMATION
------------------------
Number of groups = 749 Obs
per group: min =
2
avg =
6.6
max =
9
Reduced-form regression: dabus_sum
----------------------------------
FIXED EFFECTS ESTIMATION
------------------------
Number of groups = 749 Obs
per group: min =
2
avg =
6.6
max =
9
OLS estimation
--------------
Statistics robust to heteroskedasticity
Number of obs =
4959
F( 6, 4204) =
7.23
Prob > F =
0.0000
Total (centered) SS = 119.6871152
Centered R2 =
0.0322
Total (uncentered) SS = 119.6871152
Uncentered R2 =
0.0322
Residual SS = 115.8295136
Root MSE =
.166
------------------------------------------------------------------------
------
| Robust
dabus_sum | Coef. Std. Err. t
P>|t| [95% Conf.
Interval]
-------------+----------------------------------------------------------
-------------+------
dagro | -.1429524 .0403911 -3.54
0.000 -.2221404
-.0637645
lnpland_manz | -.0025269 .0153996 -0.16 0.870
-.0327183
.0276645
agehead | .0358974 .0136655 2.63
0.009 .0091058
.0626891
ageheadsqr | -.0003511 .0002082 -1.69 0.092
-.0007592
.000057
kids14less | .0056506 .0051194 1.10 0.270
-.0043861
.0156873
potincm80s~o | -.0641757 .0172277 -3.73 0.000
-.0979511
-.0304002
------------------------------------------------------------------------
------
Included instruments: dagro lnpland_manz agehead ageheadsqr
kids14less
potincm80s_fo
------------------------------------------------------------------------
------
First-stage regressions
-----------------------
First-stage regression of potincm_fo:
FIXED EFFECTS ESTIMATION
------------------------
Number of groups = 749 Obs
per group: min =
2
avg =
6.6
max =
9
OLS estimation
--------------
Statistics robust to heteroskedasticity
Number of obs =
4959
F( 6, 4204) =
1000.42
Prob > F =
0.0000
Total (centered) SS = 1882.108159
Centered R2 =
0.3080
Total (uncentered) SS = 1882.108159
Uncentered R2 =
0.3080
Residual SS = 1302.35443
Root MSE =
.5566
------------------------------------------------------------------------
------
| Robust
potincm_fo | Coef. Std. Err. t
P>|t| [95% Conf.
Interval]
-------------+----------------------------------------------------------
-------------+------
dagro | .0813442 .070368 1.16
0.248 -.0566143
.2193027
lnpland_manz | -.0382054 .0165208 -2.31 0.021
-.070595
-.0058159
agehead | .1004971 .040134 2.50
0.012 .0218132
.1791809
ageheadsqr | -.0009395 .0006719 -1.40 0.162
-.0022568
.0003778
kids14less | -.0212255 .0166119 -1.28 0.201
-.0537936
.0113425
potincm80s~o | .9976588 .0131996 75.58 0.000
.9717807
1.023537
------------------------------------------------------------------------
------
Included instruments: dagro lnpland_manz agehead ageheadsqr
kids14less
potincm80s_fo
------------------------------------------------------------------------
------
Partial R-squared of excluded instruments: 0.3043
Test of excluded instruments:
F( 1, 4204) = 5712.73
Prob > F = 0.0000
Summary results for first-stage regressions
-------------------------------------------
Variable | Shea Partial R2 | Partial R2 | F( 1,
4204)
P-value
potincm_fo | 0.3043 | 0.3043 |
5712.73
0.0000
NB: first-stage F-stat heteroskedasticity-robust
Underidentification tests
Ho: matrix of reduced form coefficients has rank=K-1
(underidentified)
Ha: matrix has rank=K (identified)
Chi-sq(1) P-value
Anderson canon. corr. -N*ln(1-CCEV) LR stat. 1527.72
0.0000
Cragg-Donald N*CDEV statistic
1841.71 0.0000
Robust chi-square statistic
5720.89 0.0000
Weak identification tests
Ho: equation is weakly identified
Cragg-Donald (N-L)*CDEV/L1 F-statistic 1839.09
Robust F-statistic
5712.73
See main output for Cragg-Donald weak id test critical values
NB: Anderson and Cragg-Donald under- and weak identification stats
not
robust
Robust identification stats heteroskedasticity-robust
Weak-instrument-robust inference
Tests of joint significance of endogenous regressors B1 in main
equation
Ho: B1=0 and overidentifying restrictions are valid
Anderson-Rubin test F(1,4204)=13.88
P-val=0.0002
Anderson-Rubin test Chi-sq(1)=13.90
P-val=0.0002
Stock-Wright S statistic Chi-sq(1)=5.61 P-val=0.0178
NB: Test statistics heteroskedasticity-robust
Number of observations N = 4959
Number of regressors K = 6
Number of instruments L = 6
Number of excluded instruments L1 = 1
IV (2SLS) estimation
--------------------
Statistics robust to heteroskedasticity
Number of obs =
4959
F( 6, 4204) =
6.80
Prob > F =
0.0000
Total (centered) SS = 119.6871152
Centered R2 =
0.0067
Total (uncentered) SS = 119.6871152
Uncentered R2 =
0.0067
Residual SS = 118.8838886
Root MSE =
.168
------------------------------------------------------------------------
------
| Robust
dabus_sum | Coef. Std. Err. z
P>|z| [95% Conf.
Interval]
-------------+----------------------------------------------------------
-------------+------
potincm_fo | -.0643263 .0173661 -3.70 0.000
-.0983631
-.0302894
dagro | -.1377199 .0407396 -3.38
0.001 -.217568
-.0578717
lnpland_manz | -.0049845 .0154831 -0.32 0.748
-.0353308
.0253617
agehead | .0423621 .0139741 3.03
0.002 .0149734
.0697507
ageheadsqr | -.0004116 .0002127 -1.94 0.053
-.0008284
5.30e-06
kids14less | .0042853 .0051692 0.83 0.407
-.0058461
.0144167
------------------------------------------------------------------------
------
Anderson canon. corr. LR statistic (underidentification test):
1527.719
Chi-sq(1) P-val =
0.0000
Test statistic(s) not robust
------------------------------------------------------------------------
------
Cragg-Donald F statistic (weak identification test):
1839.088
Stock-Yogo weak ID test critical values: 10% maximal IV size
16.38
15%
maximal IV size
8.96
20%
maximal IV size
6.66
25%
maximal IV size
5.53
Test statistic(s) not robust
Source: Stock-Yogo (2005). Reproduced by permission.
------------------------------------------------------------------------
------
Hansen J statistic (overidentification test of all instruments):
0.000
(equation exactly
identified)
------------------------------------------------------------------------
------
Instrumented: potincm_fo
Included instruments: dagro lnpland_manz agehead ageheadsqr
kids14less
Excluded instruments: potincm80s_fo Partialled-out (FWL): dcomm1_91
dcomm1_92 dcomm1_93 dcomm1_94 dcomm1_95
dcomm1_96 dcomm1_97 dcomm1_98
dcomm2_91 dcomm2_92
dcomm2_93 dcomm2_94 dcomm2_95
dcomm2_96 dcomm2_97
dcomm2_98 dcomm3_91 dcomm3_92
dcomm3_93 dcomm3_94
dcomm3_95 dcomm3_96 dcomm3_97
dcomm3_98 dcomm4_91
dcomm4_92 dcomm4_93 dcomm4_94
dcomm4_95 dcomm4_96
dcomm4_97 dcomm4_98 dcomm5_91
dcomm5_92 dcomm5_93
dcomm5_94 dcomm5_95 dcomm5_96
dcomm5_98 dcomm5_99
dcomm7_91 dcomm7_92 dcomm7_93
dcomm7_94 dcomm7_95
dcomm7_96 dcomm7_97 dcomm7_99
dcomm8_91 dcomm8_92
dcomm8_93 dcomm8_94 dcomm8_95
dcomm8_96 dcomm8_97
dcomm8_98 dyr2 dyr3 dyr4 dyr5
dyr6 dyr7 dyr8
nb: variable counts and
small-sample adjustments
do not include partialled-out
variables.
Dropped collinear: dcomm1_99 dcomm2_99 dcomm3_99 dcomm4_99
dcomm5_97
dcomm7_98 dcomm8_99 dyr9
------------------------------------------------------------------------
------
OLDER HEADS SAMPLE :
. xtivreg2 dabus_sum
dagro lnpland_manz `agesq' `hhcharact' `ctfe' `te' ( potincm_fo
=
`inst80s_fo' ) if dagehead4065 ==1 , fe i(nidhogar) r first
ffirst rf
fwl(`ctfe' `te') ;
Warning - singleton groups detected. 56 observation(s) not used.
Warning - collinearities detected
Vars dropped: dcomm1_99 dcomm2_95 dcomm3_96 dcomm4_97 dcomm5_98
dcomm7_99
dcomm8_99 dyr9
FIXED EFFECTS ESTIMATION
------------------------
Number of groups = 830 Obs
per group: min =
2
avg =
7.0
max =
9
Reduced-form regression: dabus_sum
----------------------------------
FIXED EFFECTS ESTIMATION
------------------------
Number of groups = 830 Obs
per group: min =
2
avg =
7.0
max =
9
OLS estimation
--------------
Statistics robust to heteroskedasticity
Number of obs =
5840
F( 6, 5004) =
9.95
Prob > F =
0.0000
Total (centered) SS = 130.6892353
Centered R2 =
0.0200
Total (uncentered) SS = 130.6892353
Uncentered R2 =
0.0200
Residual SS = 128.0706507
Root MSE =
.16
------------------------------------------------------------------------
------
| Robust
dabus_sum | Coef. Std. Err. t
P>|t| [95% Conf.
Interval]
-------------+----------------------------------------------------------
-------------+------
dagro | -.1704666 .0498948 -3.42
0.001 -.2682824
-.0726509
lnpland_manz | -.0023589 .0059152 -0.40 0.690
-.0139553
.0092375
agehead | .0638039 .0102197 6.24
0.000 .0437689
.0838389
ageheadsqr | -.0005301 .0000889 -5.97 0.000
-.0007043
-.0003559
kids14less | .0099594 .0049148 2.03 0.043
.0003242
.0195947
potincm80s~o | .0093771 .0038328 2.45 0.014
.0018631
.0168911
------------------------------------------------------------------------
------
Included instruments: dagro lnpland_manz agehead ageheadsqr
kids14less
potincm80s_fo
------------------------------------------------------------------------
------
First-stage regressions
-----------------------
First-stage regression of potincm_fo:
FIXED EFFECTS ESTIMATION
------------------------
Number of groups = 830 Obs
per group: min =
2
avg =
7.0
max =
9
OLS estimation
--------------
Statistics robust to heteroskedasticity
Number of obs =
5840
F( 6, 5004) =
7.64
Prob > F =
0.0000
Total (centered) SS = 8142.451572
Centered R2 =
0.0463
Total (uncentered) SS = 8142.451572
Uncentered R2 =
0.0463
Residual SS = 7765.373403
Root MSE =
1.246
------------------------------------------------------------------------
------
| Robust
potincm_fo | Coef. Std. Err. t
P>|t| [95% Conf.
Interval]
-------------+----------------------------------------------------------
-------------+------
dagro | .0590806 .1640592 0.36
0.719 -.2625472
.3807085
lnpland_manz | -.1176091 .0390987 -3.01 0.003
-.1942598
-.0409584
agehead | .0332028 .0682443 0.49
0.627 -.1005861
.1669916
ageheadsqr | .0003195 .0006371 0.50 0.616
-.0009294
.0015684
kids14less | -.0352024 .031388 -1.12 0.262
-.0967366
.0263317
potincm80s~o | .5135334 .1413639 3.63 0.000
.2363982
.7906685
------------------------------------------------------------------------
------
Included instruments: dagro lnpland_manz agehead ageheadsqr
kids14less
potincm80s_fo
------------------------------------------------------------------------
------
Partial R-squared of excluded instruments: 0.0446
Test of excluded instruments:
F( 1, 5004) = 13.20
Prob > F = 0.0003
Summary results for first-stage regressions
-------------------------------------------
Variable | Shea Partial R2 | Partial R2 | F( 1,
5004)
P-value
potincm_fo | 0.0446 | 0.0446 |
13.20
0.0003
NB: first-stage F-stat heteroskedasticity-robust
Underidentification tests
Ho: matrix of reduced form coefficients has rank=K-1
(underidentified)
Ha: matrix has rank=K (identified)
Chi-sq(1) P-value
Anderson canon. corr. -N*ln(1-CCEV) LR stat. 228.47
0.0000
Cragg-Donald N*CDEV statistic
233.76 0.0000
Robust chi-square statistic
13.21 0.0003
Weak identification tests
Ho: equation is weakly identified
Cragg-Donald (N-L)*CDEV/L1 F-statistic 233.48
Robust F-statistic
13.20
See main output for Cragg-Donald weak id test critical values
NB: Anderson and Cragg-Donald under- and weak identification stats
not
robust
Robust identification stats heteroskedasticity-robust
Weak-instrument-robust inference
Tests of joint significance of endogenous regressors B1 in main
equation
Ho: B1=0 and overidentifying restrictions are valid
Anderson-Rubin test F(1,5004)=5.99
P-val=0.0145
Anderson-Rubin test Chi-sq(1)=5.99
P-val=0.0144
Stock-Wright S statistic Chi-sq(1)=6.48 P-val=0.0109
NB: Test statistics heteroskedasticity-robust
Number of observations N = 5840
Number of regressors K = 6
Number of instruments L = 6
Number of excluded instruments L1 = 1
IV (2SLS) estimation
--------------------
Statistics robust to heteroskedasticity
Number of obs =
5840
F( 6, 5004) =
9.91
Prob > F =
0.0000
Total (centered) SS = 130.6892353
Centered R2 =
0.0038
Total (uncentered) SS = 130.6892353
Uncentered R2 =
0.0038
Residual SS = 130.1981904
Root MSE =
.1612
------------------------------------------------------------------------
------
| Robust
dabus_sum | Coef. Std. Err. z
P>|z| [95% Conf.
Interval]
-------------+----------------------------------------------------------
-------------+------
potincm_fo | .0182599 .0079422 2.30 0.021
.0026936
.0338263
dagro | -.1715454 .0502306 -3.42
0.001 -.2699957
-.0730952
lnpland_manz | -.0002114 .0060272 -0.04 0.972
-.0120245
.0116017
agehead | .0631976 .0102148 6.19
0.000 .043177
.0832183
ageheadsqr | -.000536 .0000894 -6.00 0.000
-.0007111
-.0003608
kids14less | .0106022 .0049372 2.15 0.032
.0009254
.020279
------------------------------------------------------------------------
------
Anderson canon. corr. LR statistic (underidentification test):
228.468
Chi-sq(1) P-val =
0.0000
Test statistic(s) not robust
------------------------------------------------------------------------
------
Cragg-Donald F statistic (weak identification test):
233.478
Stock-Yogo weak ID test critical values: 10% maximal IV size
16.38
15%
maximal IV size
8.96
20%
maximal IV size
6.66
25%
maximal IV size
5.53
Test statistic(s) not robust
Source: Stock-Yogo (2005). Reproduced by permission.
------------------------------------------------------------------------
------
Hansen J statistic (overidentification test of all instruments):
0.000
(equation exactly
identified)
------------------------------------------------------------------------
------
Instrumented: potincm_fo
Included instruments: dagro lnpland_manz agehead ageheadsqr
kids14less
Excluded instruments: potincm80s_fo Partialled-out (FWL): dcomm1_91
dcomm1_92 dcomm1_93 dcomm1_94 dcomm1_95
dcomm1_96 dcomm1_97 dcomm1_98
dcomm2_91 dcomm2_92
dcomm2_93 dcomm2_94 dcomm2_96
dcomm2_97 dcomm2_98
dcomm2_99 dcomm3_91 dcomm3_92
dcomm3_93 dcomm3_94
dcomm3_95 dcomm3_97 dcomm3_98
dcomm3_99 dcomm4_91
dcomm4_92 dcomm4_93 dcomm4_94
dcomm4_95 dcomm4_96
dcomm4_98 dcomm4_99 dcomm5_91
dcomm5_92 dcomm5_93
dcomm5_94 dcomm5_95 dcomm5_96
dcomm5_97 dcomm5_99
dcomm7_91 dcomm7_92 dcomm7_93
dcomm7_94 dcomm7_95
dcomm7_96 dcomm7_97 dcomm7_98
dcomm8_91 dcomm8_92
dcomm8_93 dcomm8_94 dcomm8_95
dcomm8_96 dcomm8_97
dcomm8_98 dyr2 dyr3 dyr4 dyr5
dyr6 dyr7 dyr8
nb: variable counts and
small-sample adjustments
do not include partialled-out
variables.
Dropped collinear: dcomm1_99 dcomm2_95 dcomm3_96 dcomm4_97
dcomm5_98
dcomm7_99 dcomm8_99 dyr9
------------------------------------------------------------------------
------
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