Misalkan kita akan melihat hubungan simultan antara:
Income = a0+a1Earns+a2Wealth+a3Ed+a4Size+e1
Wealth = b0+b1Income+b2Saving+e2
Varaibel endogen= income dan welath
Variabel eksogen = earns, ed, size, dan saving
M=income dan welath =2
K=earn, educ, size, saving, a0 dan b0 (intersept) = 6
Persamaan 1 : (K-k) > (m-1) = (6-3) > (2-1) overindentified
Persamaan 2 : (K-k) = (m-1) = (6-1) > (2-1) overindentified
Sehingga metode yang digunakan adalah metode 2sls
Lakukan regersi persamaan I dengan Quick > estimate equation:
Pada equation specification: income c earn wealth ed size
Pada instrument list masukkan semua variabel eksogen: earns ed size saving
Berikut hasilnya:
Dependent Variable: INCOME
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||||
Method: Two-Stage Least Squares
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Date: 03/13/15 Time: 08:07
|
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Sample: 1 100
|
||||
Included observations: 100
|
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Instrument specification: EARNS ED SIZE SAVING
|
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Constant added to instrument list
|
||||
Variable |
Coefficient
|
Std. Error
|
t-Statistic
|
Prob.
|
C |
3.894706
|
1.575148
|
2.472597
|
0.0152
|
EARNS |
0.884186
|
0.343653
|
2.572905
|
0.0116
|
WEALTH |
0.039356
|
0.153197
|
0.256897
|
0.7978
|
ED |
-0.000796
|
0.110176
|
-0.007229
|
0.9942
|
SIZE |
-0.330206
|
0.287204
|
-1.149727
|
0.2531
|
R-squared
|
0.812227
|
Mean dependent var
|
9.941240
|
|
Adjusted R-squared
|
0.804321
|
S.D. dependent var
|
5.583998
|
|
S.E. of regression
|
2.470115
|
Sum squared resid
|
579.6395
|
|
F-statistic
|
100.6640
|
Durbin-Watson stat
|
2.021751
|
|
Prob(F-statistic)
|
0.000000
|
Second-Stage SSR
|
630.1294
|
|
J-statistic
|
9.29E-40
|
Instrument rank
|
5
|
|
Terlihat bahwa wealth tidak berpengaruh signifikan terhadap income
Lakukan regersi persamaan II dengan Quick > estimate equation:
Pada equation specification: wealth c income saving
Pada instrument list masukkan semua variabel eksogen: earns ed size saving
Berikut hasilnya:
Dependent Variable: WEALTH
|
||||
Method: Two-Stage Least Squares
|
||||
Date: 03/13/15 Time: 08:11
|
||||
Sample: 1 100
|
||||
Included observations: 100
|
||||
Instrument specification: EARNS ED SIZE SAVING
|
||||
Constant added to instrument list
|
||||
Variable |
Coefficient
|
Std. Error
|
t-Statistic
|
Prob.
|
C |
-9.623045
|
2.878678
|
-3.342870
|
0.0012
|
INCOME |
2.315114
|
0.280015
|
8.267834
|
0.0000
|
SAVING |
-0.427895
|
0.320115
|
-1.336690
|
0.1845
|
R-squared
|
0.455431
|
Mean dependent var
|
12.63536
|
|
Adjusted R-squared
|
0.444203
|
S.D. dependent var
|
16.81237
|
|
S.E. of regression
|
12.53393
|
Sum squared resid
|
15238.64
|
|
F-statistic
|
37.18449
|
Durbin-Watson stat
|
2.165039
|
|
Prob(F-statistic)
|
0.000000
|
Second-Stage SSR
|
16299.61
|
|
J-statistic
|
1.179442
|
Instrument rank
|
5
|
|
Prob(J-statistic)
|
0.554482
|
|||
Terlihat bahwa income mempengaruhi wealth
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