Johensen协整检验结果如下:
Date: 07/21/08 Time: 17:01
Sample (adjusted): 1988 2006
Included observations: 19 after adjustments
Trend assumption: Linear deterministic trend
Series: VG VS VO VD
Lags interval (in first differences): 1 to 2
Unrestricted Cointegration Rank Test (Trace)
Hypothesized Trace 0.05
No. of CE(s) Eigenvalue Statistic Critical Value Prob.**
None * 0.988915 112.2186 47.85613 0.0000
At most 1 0.521762 26.67703 29.79707 0.1098
At most 2 0.377865 12.66176 15.49471 0.1278
At most 3 0.174537 3.644400 3.841466 0.0563
Trace test indicates 1 cointegrating eqn(s) at the 0.05 level
* denotes rejection of the hypothesis at the 0.05 level
**MacKinnon-Haug-Michelis (1999) p-values
Unrestricted Cointegration Rank Test (Maximum Eigenvalue)
Hypothesized Max-Eigen 0.05
No. of CE(s) Eigenvalue Statistic Critical Value Prob.**
None * 0.988915 85.54161 27.58434 0.0000
At most 1 0.521762 14.01527 21.13162 0.3638
At most 2 0.377865 9.017361 14.26460 0.2847
At most 3 0.174537 3.644400 3.841466 0.0563
Max-eigenvalue test indicates 1 cointegrating eqn(s) at the 0.05 level
* denotes rejection of the hypothesis at the 0.05 level
**MacKinnon-Haug-Michelis (1999) p-values
Unrestricted Cointegrating Coefficients (normalized by b'*S11*b=I):
VG VS VO VD
-16.73022 -4.224645 -8.768425 4.106523
-0.996476 8.641573 11.12774 -0.383862
-3.827471 10.59676 -4.955695 -6.063728
-5.548082 0.229217 5.964940 -3.568511
Unrestricted Adjustment Coefficients (alpha):
D(VG) 0.178806 0.004352 0.024482 0.012064
D(VS) -0.014110 -0.031977 0.009283 0.011052
D(VO) -0.011146 -0.000972 0.035721 -0.015025
D(VD) -0.011678 0.059559 0.033221 0.016874
1 Cointegrating Equation(s): Log likelihood 116.4943
Normalized cointegrating coefficients (standard error in parentheses)
VG VS VO VD
1.000000 0.252516 0.524107 -0.245455
(0.03010) (0.03097) (0.01695)
Adjustment coefficients (standard error in parentheses)
D(VG) -2.991462
(0.29586)
D(VS) 0.236056
(0.29979)
D(VO) 0.186474
(0.38124)
D(VD) 0.195383
(0.59419)
2 Cointegrating Equation(s): Log likelihood 123.5019
Normalized cointegrating coefficients (standard error in parentheses)
VG VS VO VD
1.000000 0.000000 0.193314 -0.227611
(0.12750) (0.05068)
0.000000 1.000000 1.309990 -0.070667
(0.49249) (0.19575)
Adjustment coefficients (standard error in parentheses)
D(VG) -2.995799 -0.717784
(0.29539) (0.16953)
D(VS) 0.267921 -0.216725
(0.24141) (0.13855)
D(VO) 0.187442 0.038690
(0.38188) (0.21917)
D(VD) 0.136034 0.564022
(0.49356) (0.28327)
3 Cointegrating Equation(s): Log likelihood 128.0106
Normalized cointegrating coefficients (standard error in parentheses)
VG VS VO VD
1.000000 0.000000 0.000000 -0.293689
(0.07802)
0.000000 1.000000 0.000000 -0.518447
(0.17074)
0.000000 0.000000 1.000000 0.341820
(0.17841)
Adjustment coefficients (standard error in parentheses)
D(VG) -3.089502 -0.458357 -1.640742
(0.26856) (0.22357) (0.23447)
D(VS) 0.232390 -0.118354 -0.278119
(0.24185) (0.20133) (0.21115)
D(VO) 0.050722 0.417215 -0.090102
(0.33397) (0.27802) (0.29158)
D(VD) 0.008880 0.916061 0.600526
(0.46911) (0.39052) (0.40956)