按照AIC和SC最小的原则,协整检验做出来的结果如下,现在的疑问是 :
1)检验出来有两种协整关系,如何取舍?若不取舍的话,怎么解释?
2)协整方程是不是 LXV=-13.47031*LREER +1.763152*LYF +78.82192
(13.7564) (3.67771) (84.4118)
括号中的是标准误差。 那么,这个标准误差是不是过大了?导致协整方程的无解释力?
Date: 03/19/10 Time: 10:51
Sample (adjusted): 1985Q3 2008Q4
Included observations: 94 after adjustments
Trend assumption: No deterministic trend (restricted constant)
Series: LXV LREER LYF
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 * 0.356477 65.16476 35.19275 0.0000
At most 1 * 0.166798 23.72979 20.26184 0.0160
At most 2 0.067573 6.576689 9.164546 0.1507
Trace test indicates 2 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 * 0.356477 41.43498 22.29962 0.0000
At most 1 * 0.166798 17.15310 15.89210 0.0316
At most 2 0.067573 6.576689 9.164546 0.1507
Max-eigenvalue test indicates 2 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):
LXV LREER LYF C
-0.073367 -0.988270 0.129356 5.782891
-1.298613 6.186605 2.185843 -32.92122
-2.046727 2.228342 4.798587 -27.21566
Unrestricted Adjustment Coefficients (alpha):
D(LXV) 0.035133 0.001354 0.005072
D(LREER) -0.006168 -0.021584 0.003448
D(LYF) 0.013708 -0.002544 -0.016653
1 Cointegrating Equation(s): Log likelihood 408.9467
Normalized cointegrating coefficients (standard error in parentheses)
LXV LREER LYF C
1.000000 13.47031 -1.763152 -78.82192
(13.7564) (3.67771) (84.4118)
Adjustment coefficients (standard error in parentheses)
D(LXV) -0.002578
(0.00040)
D(LREER) 0.000453
(0.00043)
D(LYF) -0.001006
(0.00052)
2 Cointegrating Equation(s): Log likelihood 417.5233
Normalized cointegrating coefficients (standard error in parentheses)
LXV LREER LYF C
1.000000 0.000000 -1.704098 -1.865810
(0.83988) (6.63434)
0.000000 1.000000 -0.004384 -5.713018
(0.17114) (1.35182)
Adjustment coefficients (standard error in parentheses)
D(LXV) -0.004335 -0.026347
(0.00702) (0.03379)
D(LREER) 0.028481 -0.127435
(0.00695) (0.03349)
D(LYF) 0.002298 -0.029285
(0.00917) (0.04418)