大家好,从以下的结果看,可以得出什么结果?可以得出协整关系式吗
Date: 04/12/11 Time: 13:07
Sample (adjusted): 1987 2009
Included observations: 23 after adjustments
Trend assumption: Linear deterministic trend
Series: CPI RE I M2
Lags interval (in first differences): 1 to 1
Unrestricted Cointegration Rank Test (Trace)
Hypothesized Trace 0.05
No. of CE(s) Eigenvalue Statistic Critical Value Prob.**
None * 0.799145 62.42885 47.85613 0.0012
At most 1 0.415367 25.50987 29.79707 0.1440
At most 2 0.370144 13.16412 15.49471 0.1089
At most 3 0.104245 2.532035 3.841466 0.1116
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 * 0.799145 36.91898 27.58434 0.0024
At most 1 0.415367 12.34575 21.13162 0.5139
At most 2 0.370144 10.63208 14.26460 0.1736
At most 3 0.104245 2.532035 3.841466 0.1116
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):
CPI RE I M2
-0.274630 0.026899 0.019455 0.196461
-0.089050 0.027325 0.118960 0.107461
-0.377756 0.396188 -0.052610 -0.109250
-0.000432 -0.080253 0.073807 -0.065346
Unrestricted Adjustment Coefficients (alpha):
D(CPI) 4.182617 0.387021 -0.197429 0.572450
D(RE) 4.937396 -2.064344 -2.080652 1.740437
D(I) 1.859338 -4.837655 -0.401796 -1.315159
D(M2) -1.074683 -1.473882 1.927770 0.315667
1 Cointegrating Equation(s): Log likelihood -269.8682
Normalized cointegrating coefficients (standard error in parentheses)
CPI RE I M2
1.000000 -0.097947 -0.070841 -0.715365
(0.10136) (0.06667) (0.11215)
Adjustment coefficients (standard error in parentheses)
D(CPI) -1.148673
(0.18847)
D(RE) -1.355958
(0.50349)
D(I) -0.510631
(0.57391)
D(M2) 0.295140
(0.27069)
2 Cointegrating Equation(s): Log likelihood -263.6953
Normalized cointegrating coefficients (standard error in parentheses)
CPI RE I M2
1.000000 0.000000 0.522281 -0.484974
(0.20099) (0.25895)
0.000000 1.000000 6.055568 2.352204
(1.90328) (2.45211)
Adjustment coefficients (standard error in parentheses)
D(CPI) -1.183137 0.123084
(0.19627) (0.02607)
D(RE) -1.172129 0.076403
(0.50918) (0.06763)
D(I) -0.079838 -0.082175
(0.49925) (0.06631)
D(M2) 0.426390 -0.069182
(0.26520) (0.03522)
3 Cointegrating Equation(s): Log likelihood -258.3793
Normalized cointegrating coefficients (standard error in parentheses)
CPI RE I M2
1.000000 0.000000 0.000000 -0.768618
(0.08886)
0.000000 1.000000 0.000000 -0.936497
(0.17858)
0.000000 0.000000 1.000000 0.543087
(0.38983)
Adjustment coefficients (standard error in parentheses)
D(CPI) -1.108558 0.044865 0.137800
(0.32242) (0.26992) (0.08919)
D(RE) -0.386151 -0.747926 -0.040055
(0.80347) (0.67266) (0.22226)
D(I) 0.071943 -0.241362 -0.518178
(0.82088) (0.68723) (0.22708)
D(M2) -0.301836 0.694576 -0.297661
(0.37592) (0.31472) (0.10399)