Johansen协整检验结果如下,请教高手:(因为字数限制,把后面的4、5、6、7、8的cointegrating eqn(s) 删除了)
1、根据下面结果如何判断这些变量是否具有协整关系呢?
2、协整方程是8个吗?如何写呢?应该根据哪部分来写呢?
非常感谢!!
Date: 05/30/10 Time: 15:19
Sample (adjusted): 1980 2008
Included observations: 29 after adjustments
Trend assumption: Linear deterministic trend
Series: CHY CHZH EMD ESHCH EXF GDP JMXF SHPJG TP
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 * 0.996039 542.8032 197.3709 0.0001
At most 1 * 0.988574 382.3975 159.5297 0.0000
At most 2 * 0.957406 252.7138 125.6154 0.0000
At most 3 * 0.884308 161.1889 95.75366 0.0000
At most 4 * 0.685070 98.64101 69.81889 0.0001
At most 5 * 0.621482 65.13424 47.85613 0.0006
At most 6 * 0.490867 36.96095 29.79707 0.0063
At most 7 * 0.449755 17.38464 15.49471 0.0257
At most 8 0.002077 0.060299 3.841466 0.8060
Trace test indicates 8 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 * 0.996039 160.4057 58.43354 0.0000
At most 1 * 0.988574 129.6838 52.36261 0.0000
At most 2 * 0.957406 91.52489 46.23142 0.0000
At most 3 * 0.884308 62.54786 40.07757 0.0000
At most 4 0.685070 33.50677 33.87687 0.0553
At most 5 * 0.621482 28.17329 27.58434 0.0420
At most 6 0.490867 19.57631 21.13162 0.0813
At most 7 * 0.449755 17.32434 14.26460 0.0159
At most 8 0.002077 0.060299 3.841466 0.8060
Max-eigenvalue test indicates 4 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):
CHY CHZH EMD ESHCH EXF GDP JMXF SHPJG TP
-81.44515 -45.84981 37.08549 -4.170585 14.97169 -55.76013 40.72360 -15.77168 -93.03392
17.05445 64.76917 -52.17529 -35.37405 40.76823 -32.48203 109.2047 74.39640 -364.4536
-13.13587 156.2037 6.857427 -81.87887 107.2713 -129.8009 61.72408 42.29160 -199.8055
58.00886 48.12516 -19.33387 71.13651 -70.02815 6.522301 2.138966 28.26276 -56.88320
15.53357 -9.148763 -24.92876 -48.91660 35.17468 55.61459 -7.245766 21.65992 -127.5569
-34.42107 45.50385 58.02294 1.421427 -3.586955 -104.8147 26.36570 -28.65859 14.06935
-113.7895 49.19699 -2.107838 -55.08202 49.46364 1.598959 23.99616 44.67210 -490.0953
47.25797 44.23876 4.690025 22.25351 -15.13164 -82.43964 44.60129 7.568633 137.1420
266.5792 17.47965 18.69751 169.2214 -150.0728 -121.5381 -18.83021 -90.82461 1278.492
Unrestricted Adjustment Coefficients (alpha):
D(CHY) 0.003783 -0.011063 0.002772 -0.000698 -0.003221 0.000243 0.007109 -0.000181 -0.000257
D(CHZH) 0.003963 -0.000370 -0.004683 0.004966 0.004908 -0.001691 0.003309 0.002519 -7.32E-05
D(EMD) -0.000282 -0.003684 -0.007585 -0.001703 -0.005158 -0.016371 0.009989 -0.005707 -0.000767
D(ESHCH) -0.004646 0.004235 -0.015975 -0.016977 0.000555 0.006535 0.001487 -0.001340 -2.47E-05
D(EXF) -0.002974 -0.004371 -0.014470 -0.007815 -0.004258 0.007274 0.004436 -0.002803 -1.62E-05
D(GDP) 0.010575 -0.000196 -0.002543 -0.005018 -0.004493 -0.001930 -0.004759 -0.001162 -0.000250
D(JMXF) 0.003375 -0.008647 -0.001597 -0.000603 -0.009515 -0.007930 -0.004696 0.003418 3.22E-05
D(SHPJG) -0.013716 -0.003283 -0.002590 -0.001824 0.001235 0.001372 -0.000303 -0.008753 -0.000537
D(TP) -0.000163 0.000515 -0.000257 0.000267 -0.000300 0.000125 -8.89E-06 0.000153 -1.75E-06
1 Cointegrating Equation(s): Log likelihood 883.4655
Normalized cointegrating coefficients (standard error in parentheses)
CHY CHZH EMD ESHCH EXF GDP JMXF SHPJG TP
1.000000 0.562953 -0.455343 0.051207 -0.183825 0.684634 -0.500013 0.193648 1.142289
(0.03631) (0.01716) (0.02235) (0.02417) (0.04075) (0.02599) (0.02167) (0.12293)
Adjustment coefficients (standard error in parentheses)
D(CHY) -0.308136
(0.32265)
D(CHZH) -0.322804
(0.21867)
D(EMD) 0.022992
(0.63846)
D(ESHCH) 0.378383
(0.50377)
D(EXF) 0.242230
(0.41901)
D(GDP) -0.861305
(0.23546)
D(JMXF) -0.274859
(0.37593)
D(SHPJG) 1.117097
(0.35236)
D(TP) 0.013288
(0.01522)
2 Cointegrating Equation(s): Log likelihood 948.3074
Normalized cointegrating coefficients (standard error in parentheses)
CHY CHZH EMD ESHCH EXF GDP JMXF SHPJG TP
1.000000 0.000000 -0.002174 0.421086 -0.631827 1.135236 -1.701385 -0.531814 5.060069
(0.03147) (0.03518) (0.03448) (0.05658) (0.03471) (0.03191) (0.19520)
0.000000 1.000000 -0.804985 -0.657032 0.795806 -0.800425 2.134053 1.288672 -6.959334
(0.04336) (0.04848) (0.04751) (0.07797) (0.04783) (0.04397) (0.26900)
Adjustment coefficients (standard error in parentheses)
D(CHY) -0.496815 -0.890028
(0.24817) (0.23666)
D(CHZH) -0.329111 -0.205676
(0.22329) (0.21294)
D(EMD) -0.039838 -0.225672
(0.64830) (0.61825)
D(ESHCH) 0.450611 0.487319
(0.50795) (0.48441)
D(EXF) 0.167681 -0.146757
(0.41942) (0.39999)
D(GDP) -0.864647 -0.497567
(0.24054) (0.22939)
D(JMXF) -0.422336 -0.714817
(0.34461) (0.32864)
D(SHPJG) 1.061106 0.416234
(0.35420) (0.33778)
D(TP) 0.022068 0.040825
(0.01182) (0.01127)
3 Cointegrating Equation(s): Log likelihood 994.0698
Normalized cointegrating coefficients (standard error in parentheses)
CHY CHZH EMD ESHCH EXF GDP JMXF SHPJG TP
1.000000 0.000000 0.000000 0.421517 -0.632242 1.135402 -1.706206 -0.534536 5.075712
(0.03007) (0.03147) (0.03116) (0.03426) (0.00777) (0.07180)
0.000000 1.000000 0.000000 -0.497436 0.641962 -0.738849 0.349017 0.280762 -1.168123
(0.02697) (0.02823) (0.02796) (0.03074) (0.00697) (0.06442)
0.000000 0.000000 1.000000 0.198259 -0.191114 0.076493 -2.217478 -1.252085 7.194186
(0.06116) (0.06402) (0.06339) (0.06970) (0.01581) (0.14606)
Adjustment coefficients (standard error in parentheses)
D(CHY) -0.533234 -0.456955 0.736552
(0.24513) (0.50982) (0.18733)
D(CHZH) -0.267600 -0.937128 0.134171
(0.20605) (0.42853) (0.15746)
D(EMD) 0.059799 -1.410487 0.129735
(0.63881) (1.32859) (0.48819)
D(ESHCH) 0.660462 -2.008101 -0.502815
(0.40475) (0.84179) (0.30931)
D(EXF) 0.357763 -2.407093 0.018543
(0.31264) (0.65022) (0.23892)
D(GDP) -0.831237 -0.894852 0.384973
(0.23822) (0.49545) (0.18205)
D(JMXF) -0.401362 -0.964222 0.565386
(0.34743) (0.72258) (0.26551)
D(SHPJG) 1.095128 0.011668 -0.355130
(0.35488) (0.73807) (0.27120)
D(TP) 0.025443 0.000691 -0.034673
(0.01082) (0.02251) (0.00827)
4 Cointegrating Equation(s): Log likelihood 1025.344
Normalized cointegrating coefficients (standard error in parentheses)
5 Cointegrating Equation(s): Log likelihood 1042.097
Normalized cointegrating coefficients (standard error in parentheses)
6 Cointegrating Equation(s): Log likelihood 1056.184
Normalized cointegrating coefficients (standard error in parentheses)
7 Cointegrating Equation(s): Log likelihood 1065.972
Normalized cointegrating coefficients (standard error in parentheses)
8 Cointegrating Equation(s): Log likelihood 1074.634
Normalized cointegrating coefficients (standard error in parentheses)


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