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Date: 03/12/11 Time: 16:04
Sample (adjusted): 1984 2009
Included observations: 26 after adjustments
Trend assumption: Linear deterministic trend
Series: LNDGDP LNK1 LNK2 LNK3
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 * 0.781950 60.58260 47.85613 0.0021
At most 1 0.501439 20.98375 29.79707 0.3586
At most 2 0.104815 2.886971 15.49471 0.9718
At most 3 0.000313 0.008128 3.841466 0.9277
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 * 0.781950 39.59885 27.58434 0.0009
At most 1 0.501439 18.09678 21.13162 0.1263
At most 2 0.104815 2.878843 14.26460 0.9545
At most 3 0.000313 0.008128 3.841466 0.9277
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):
LNDGDP LNK1 LNK2 LNK3
9.967149 -9.153588 2.223146 -0.550610
-4.257079 -3.536589 5.562751 1.957121
-2.582958 0.680430 4.035042 -4.256196
-0.826755 0.061842 0.994506 -2.468313
Unrestricted Adjustment Coefficients (alpha):
D(LNDGDP) -0.092542 0.020372 0.027057 -0.002732
D(LNK1) 0.037427 0.058203 -0.005304 -0.002177
D(LNK2) -0.014927 -0.019776 -0.005905 -0.001503
D(LNK3) 0.058121 -0.091232 0.011959 -0.001136
1 Cointegrating Equation(s): Log likelihood 89.99968
Normalized cointegrating coefficients (standard error in parentheses)
LNDGDP LNK1 LNK2 LNK3
1.000000 -0.918376 0.223047 -0.055243
(0.09180) (0.09538) (0.07051)
Adjustment coefficients (standard error in parentheses)
D(LNDGDP) -0.922379
(0.45999)
D(LNK1) 0.373045
(0.37441)
D(LNK2) -0.148776
(0.22838)
D(LNK3) 0.579301
(0.37815)
2 Cointegrating Equation(s): Log likelihood 99.04807
Normalized cointegrating coefficients (standard error in parentheses)
LNDGDP LNK1 LNK2 LNK3
1.000000 0.000000 -0.580145 -0.267619
(0.09587) (0.16524)
0.000000 1.000000 -0.874579 -0.231253
(0.10486) (0.18073)
Adjustment coefficients (standard error in parentheses)
D(LNDGDP) -1.009105 0.775042
(0.49714) (0.45011)
D(LNK1) 0.125269 -0.548437
(0.37535) (0.33985)
D(LNK2) -0.064589 0.206572
(0.24249) (0.21956)
D(LNK3) 0.967682 -0.209367
(0.32860) (0.29752)
3 Cointegrating Equation(s): Log likelihood 100.4875
Normalized cointegrating coefficients (standard error in parentheses)
LNDGDP LNK1 LNK2 LNK3
1.000000 0.000000 0.000000 -1.154997
(0.25158)
0.000000 1.000000 0.000000 -1.568991
(0.37227)
0.000000 0.000000 1.000000 -1.529579
(0.41516)
Adjustment coefficients (standard error in parentheses)
D(LNDGDP) -1.078991 0.793452 0.016766
(0.50547) (0.44626) (0.32768)
D(LNK1) 0.138968 -0.552046 0.385576
(0.38558) (0.34041) (0.24996)
D(LNK2) -0.049336 0.202553 -0.167020
(0.24874) (0.21960) (0.16125)
D(LNK3) 0.936793 -0.201230 -0.330034
(0.33616) (0.29678) (0.21792)
是不是说明这几个变量没有协整关系啊?