. clear
. set more off
. ivreg2 TP2_1yr (TP1_ffr TP1_1yr = TP1_Z1 TP1_Z2), first r
First-stage regressions
-----------------------
First-stage regression of TP1_ffr:
Statistics robust to heteroskedasticity
Number of obs = 252
------------------------------------------------------------------------------
| Robust
TP1_ffr | Coef. Std. Err. t P>|t| [95% Conf. Interval]
-------------+----------------------------------------------------------------
TP1_Z1 | .7962826 .1318799 6.04 0.000 .5365402 1.056025
TP1_Z2 | -.1342777 .1771942 -0.76 0.449 -.4832682 .2147129
_cons | -.005534 .0099253 -0.56 0.578 -.0250823 .0140143
------------------------------------------------------------------------------
F test of excluded instruments:
F( 2, 249) = 18.91
Prob > F = 0.0000
Sanderson-Windmeijer multivariate F test of excluded instruments:
F( 1, 249) = 4.59
Prob > F = 0.0331
First-stage regression of TP1_1yr:
Statistics robust to heteroskedasticity
Number of obs = 252
------------------------------------------------------------------------------
| Robust
TP1_1yr | Coef. Std. Err. t P>|t| [95% Conf. Interval]
-------------+----------------------------------------------------------------
TP1_Z1 | .9018246 .1677006 5.38 0.000 .5715321 1.232117
TP1_Z2 | .3468759 .233419 1.49 0.139 -.1128515 .8066033
_cons | -.0000307 .0124529 -0.00 0.998 -.0245572 .0244957
------------------------------------------------------------------------------
F test of excluded instruments:
F( 2, 249) = 14.73
Prob > F = 0.0000
Sanderson-Windmeijer multivariate F test of excluded instruments:
F( 1, 249) = 5.08
Prob > F = 0.0251
Number of observations N = 252
Number of regressors K = 3
Number of endogenous regressors K1 = 2
Number of instruments L = 3
Number of excluded instruments L1 = 2
IV (2SLS) estimation
--------------------
Estimates efficient for homoskedasticity only
Statistics robust to heteroskedasticity
Number of obs = 252
F( 2, 249) = 40.26
Prob > F = 0.0000
Total (centered) SS = 13.41311138 Centered R2 = 0.8397
Total (uncentered) SS = 13.41515702 Uncentered R2 = 0.8397
Residual SS = 2.150519923 Root MSE = .09238
------------------------------------------------------------------------------
| Robust
TP2_1yr | Coef. Std. Err. z P>|z| [95% Conf. Interval]
-------------+----------------------------------------------------------------
TP1_ffr | -.3367879 .2433523 -1.38 0.166 -.8137496 .1401738
TP1_1yr | 1.115372 .2068698 5.39 0.000 .7099143 1.520829
_cons | .0008662 .0060499 0.14 0.886 -.0109914 .0127239
------------------------------------------------------------------------------
Underidentification test (Kleibergen-Paap rk LM statistic): 4.752
Chi-sq(1) P-val = 0.0293
------------------------------------------------------------------------------
Weak identification test (Cragg-Donald Wald F statistic): 2.919
(Kleibergen-Paap rk Wald F statistic): 2.240
Stock-Yogo weak ID test critical values: 10% maximal IV size 7.03
15% maximal IV size 4.58
20% maximal IV size 3.95
25% maximal IV size 3.63
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): 0.000
(equation exactly identified)
------------------------------------------------------------------------------
Instrumented: TP1_ffr TP1_1yr
Excluded instruments: TP1_Z1 TP1_Z2
------------------------------------------------------------------------------
.
.
. reg TP2_ffr TP2_Z1 TP2_Z2,r
Linear regression Number of obs = 252
F(2, 249) = 22.56
Prob > F = 0.0000
R-squared = 0.1197
Root MSE = .16582
------------------------------------------------------------------------------
| Robust
TP2_ffr | Coef. Std. Err. t P>|t| [95% Conf. Interval]
-------------+----------------------------------------------------------------
TP2_Z1 | .8784697 .1364587 6.44 0.000 .6097093 1.14723
TP2_Z2 | -.1641303 .2762036 -0.59 0.553 -.7081235 .3798629
_cons | -.0055563 .0104465 -0.53 0.595 -.0261311 .0150184
------------------------------------------------------------------------------
. outreg2 using "Table2_", bdec(3) excel append addstat(Adjusted R-squared, e(r2_a), Robust F-statistic, e(F)) label
Table2_.xml
dir : seeout
.
. reg TP2_1yr TP2_Z1 TP2_Z2,r
Linear regression Number of obs = 252
F(2, 249) = 7.69
Prob > F = 0.0006
R-squared = 0.0640
Root MSE = .22455
------------------------------------------------------------------------------
| Robust
TP2_1yr | Coef. Std. Err. t P>|t| [95% Conf. Interval]
-------------+----------------------------------------------------------------
TP2_Z1 | .7558262 .2029979 3.72 0.000 .3560143 1.155638
TP2_Z2 | .6949785 .3650366 1.90 0.058 -.0239746 1.413932
_cons | .0026948 .0141435 0.19 0.849 -.0251613 .0305509
------------------------------------------------------------------------------
. outreg2 using "Table2_", bdec(3) excel append addstat(Adjusted R-squared, e(r2_a), Robust F-statistic, e(F)) label
Table2_.xml
dir : seeout
.
. ivreg2 TP1_1yr (TP2_ffr TP2_1yr = TP2_Z1 TP2_Z2), first r
First-stage regressions
-----------------------
First-stage regression of TP2_ffr:
Statistics robust to heteroskedasticity
Number of obs = 252
------------------------------------------------------------------------------
| Robust
TP2_ffr | Coef. Std. Err. t P>|t| [95% Conf. Interval]
-------------+----------------------------------------------------------------
TP2_Z1 | .8784697 .1364587 6.44 0.000 .6097093 1.14723
TP2_Z2 | -.1641303 .2762036 -0.59 0.553 -.7081235 .3798629
_cons | -.0055563 .0104465 -0.53 0.595 -.0261311 .0150184
------------------------------------------------------------------------------
F test of excluded instruments:
F( 2, 249) = 22.56
Prob > F = 0.0000
Sanderson-Windmeijer multivariate F test of excluded instruments:
F( 1, 249) = 7.05
Prob > F = 0.0084
First-stage regression of TP2_1yr:
Statistics robust to heteroskedasticity
Number of obs = 252
------------------------------------------------------------------------------
| Robust
TP2_1yr | Coef. Std. Err. t P>|t| [95% Conf. Interval]
-------------+----------------------------------------------------------------
TP2_Z1 | .7558262 .2029979 3.72 0.000 .3560143 1.155638
TP2_Z2 | .6949785 .3650366 1.90 0.058 -.0239746 1.413932
_cons | .0026948 .0141435 0.19 0.849 -.0251613 .0305509
------------------------------------------------------------------------------
F test of excluded instruments:
F( 2, 249) = 7.69
Prob > F = 0.0006
Sanderson-Windmeijer multivariate F test of excluded instruments:
F( 1, 249) = 5.21
Prob > F = 0.0232
Summary results for first-stage regressions
-------------------------------------------
(Underid) (Weak id)
Variable | F( 2, 249) P-val | SW Chi-sq( 1) P-val | SW F( 1, 249)
TP2_ffr | 22.56 0.0000 | 7.14 0.0076 | 7.05
TP2_1yr | 7.69 0.0006 | 5.28 0.0216 | 5.21
NB: first-stage test statistics heteroskedasticity-robust
Stock-Yogo weak ID F test critical values for single endogenous regressor:
10% maximal IV size 19.93
15% maximal IV size 11.59
20% maximal IV size 8.75
25% maximal IV size 7.25
Source: Stock-Yogo (2005). Reproduced by permission.
NB: Critical values are for i.i.d. errors only.
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(1)=5.27 P-val=0.0216
Weak identification test
Ho: equation is weakly identified
Cragg-Donald Wald F statistic 2.86
Kleibergen-Paap Wald rk F statistic 2.60
Stock-Yogo weak ID test critical values for K1=2 and L1=2:
10% maximal IV size 7.03
15% maximal IV size 4.58
20% maximal IV size 3.95
25% maximal IV size 3.63
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(2,249)= 14.20 P-val=0.0000
Anderson-Rubin Wald test Chi-sq(2)= 28.74 P-val=0.0000
Stock-Wright LM S statistic Chi-sq(2)= 9.99 P-val=0.0068
NB: Underidentification, weak identification and weak-identification-robust
test statistics heteroskedasticity-robust
Number of observations N = 252
Number of regressors K = 3
Number of endogenous regressors K1 = 2
Number of instruments L = 3
Number of excluded instruments L1 = 2
IV (2SLS) estimation
--------------------
Estimates efficient for homoskedasticity only
Statistics robust to heteroskedasticity
Number of obs = 252
F( 2, 249) = 65.88
Prob > F = 0.0000
Total (centered) SS = 10.83088406 Centered R2 = 0.8335
Total (uncentered) SS = 10.83088754 Uncentered R2 = 0.8335
Residual SS = 1.803836259 Root MSE = .08461
------------------------------------------------------------------------------
| Robust
TP1_1yr | Coef. Std. Err. z P>|z| [95% Conf. Interval]
-------------+----------------------------------------------------------------
TP2_ffr | .2952909 .1564981 1.89 0.059 -.0114398 .6020215
TP2_1yr | .8635308 .1731632 4.99 0.000 .5241372 1.202924
_cons | -.0007226 .0055465 -0.13 0.896 -.0115935 .0101483
------------------------------------------------------------------------------
Underidentification test (Kleibergen-Paap rk LM statistic): 5.275
Chi-sq(1) P-val = 0.0216
------------------------------------------------------------------------------
Weak identification test (Cragg-Donald Wald F statistic): 2.860
(Kleibergen-Paap rk Wald F statistic): 2.604
Stock-Yogo weak ID test critical values: 10% maximal IV size 7.03
15% maximal IV size 4.58
20% maximal IV size 3.95
25% maximal IV size 3.63
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): 0.000
(equation exactly identified)
------------------------------------------------------------------------------
Instrumented: TP2_ffr TP2_1yr
Excluded instruments: TP2_Z1 TP2_Z2
------------------------------------------------------------------------------




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