5个变量DOLLAR OIL I CPI DQS M2做协整结果如下,显示三个协整关系,是哪三个呀,不胜感谢!
Unrestricted Cointegration Rank Test (Trace)
Hypothesized Trace 0.05
No. of CE(s) Eigenvalue Statistic Critical Value Prob.**
None * 0.237171 290.3561 95.75366 0.0000
At most 1 * 0.197277 171.7803 69.81889 0.0000
At most 2 * 0.115454 75.53185 47.85613 0.0000
At most 3 0.026025 21.79785 29.79707 0.3099
At most 4 0.015754 10.24807 15.49471 0.2621
At most 5 0.007490 3.293000 3.841466 0.0696
Trace test indicates 3 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 * 0.237171 118.5758 40.07757 0.0000
At most 1 * 0.197277 96.24846 33.87687 0.0000
At most 2 * 0.115454 53.73400 27.58434 0.0000
At most 3 0.026025 11.54978 21.13162 0.5924
At most 4 0.015754 6.955068 14.26460 0.4945
At most 5 0.007490 3.293000 3.841466 0.0696
Max-eigenvalue test indicates 3 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):
DOLLAR OIL I CPI DQS M2
0.040968 -0.019781 -0.027858 -0.024483 0.000225 0.000943
0.027004 0.004588 -0.436955 0.014399 -0.000103 -0.000591
-0.004573 -0.097469 0.273548 -0.044018 -0.000212 0.002321
0.068521 0.017381 0.023735 0.033320 -0.000359 2.78E-05
-0.020860 -0.004513 -0.021879 0.065002 8.11E-05 -0.001741
0.041127 -0.010871 0.057345 -0.007096 0.000421 -0.000611
Unrestricted Adjustment Coefficients (alpha):
D(DOLLAR) -0.268010 -0.142858 -0.168669 -0.143205 0.113596 0.047717
D(OIL) 0.330965 -0.207115 0.680671 -0.214979 -0.125273 0.038437
D(I) -0.009776 0.082947 -0.028407 -0.050905 0.000360 -0.020616
D(CPI) -0.035472 -0.047604 -0.005011 -0.005160 -0.007963 -0.005481
D(DQS) 3.946179 -16.74814 46.76934 9.990062 21.27367 -12.24827
D(M2) 6.287488 -2.959067 -2.104537 -0.103540 0.084508 -0.078717
1 Cointegrating Equation(s): Log likelihood -6804.375
Normalized cointegrating coefficients (standard error in parentheses)
DOLLAR OIL I CPI DQS M2
1.000000 -0.482834 -0.679988 -0.597628 0.005485 0.023011
(0.21440) (1.07766) (0.19029) (0.00137) (0.00666)
Adjustment coefficients (standard error in parentheses)
D(DOLLAR) -0.010980
(0.00312)
D(OIL) 0.013559
(0.00543)
D(I) -0.000400
(0.00088)
D(CPI) -0.001453
(0.00031)
D(DQS) 0.161666
(0.53382)
D(M2) 0.257584
(0.02874)
2 Cointegrating Equation(s): Log likelihood -6756.251
Normalized cointegrating coefficients (standard error in parentheses)
DOLLAR OIL I CPI DQS M2
1.000000 0.000000 -12.14637 0.238890 -0.001404 -0.010188
(1.17573) (0.20203) (0.00176) (0.00586)
0.000000 1.000000 -23.74812 1.732518 -0.014267 -0.068758
(2.76427) (0.47500) (0.00413) (0.01378)
Adjustment coefficients (standard error in parentheses)
D(DOLLAR) -0.014838 0.004646
(0.00372) (0.00154)
D(OIL) 0.007966 -0.007497
(0.00648) (0.00268)
D(I) 0.001839 0.000574
(0.00104) (0.00043)
D(CPI) -0.002739 0.000483
(0.00036) (0.00015)
D(DQS) -0.290609 -0.154892
(0.63813) (0.26408)
D(M2) 0.177676 -0.137945
(0.03370) (0.01395)
3 Cointegrating Equation(s): Log likelihood -6729.384
Normalized cointegrating coefficients (standard error in parentheses)
DOLLAR OIL I CPI DQS M2
1.000000 0.000000 0.000000 -0.490698 0.007916 0.015463
(0.18660) (0.00164) (0.00523)
0.000000 1.000000 0.000000 0.306056 0.003956 -0.018606
(0.12489) (0.00110) (0.00350)
0.000000 0.000000 1.000000 -0.060066 0.000767 0.002112
(0.02267) (0.00020) (0.00064)
Adjustment coefficients (standard error in parentheses)
D(DOLLAR) -0.014066 0.021086 0.023750
(0.00371) (0.00750) (0.03891)
D(OIL) 0.004853 -0.073841 0.267476
(0.00631) (0.01274) (0.06609)
D(I) 0.001969 0.003343 -0.043742
(0.00104) (0.00210) (0.01088)
D(CPI) -0.002716 0.000972 0.020418
(0.00036) (0.00072) (0.00374)
D(DQS) -0.504471 -4.713441 20.00190
(0.63119) (1.27520) (6.61249)
D(M2) 0.187299 0.067181 0.542133
(0.03347) (0.06763) (0.35069)
4 Cointegrating Equation(s): Log likelihood -6723.609
Normalized cointegrating coefficients (standard error in parentheses)
DOLLAR OIL I CPI DQS M2
1.000000 0.000000 0.000000 0.000000 0.000221 0.009560
(0.00160) (0.00327)
0.000000 1.000000 0.000000 0.000000 0.008755 -0.014925
(0.00178) (0.00365)
0.000000 0.000000 1.000000 0.000000 -0.000175 0.001389
(0.00022) (0.00046)
0.000000 0.000000 0.000000 1.000000 -0.015682 -0.012030
(0.00356) (0.00729)
Adjustment coefficients (standard error in parentheses)
D(DOLLAR) -0.023879 0.018597 0.020351 0.007158
(0.00634) (0.00759) (0.03879) (0.00466)
D(OIL) -0.009877 -0.077578 0.262374 -0.048210
(0.01077) (0.01289) (0.06594) (0.00792)
D(I) -0.001519 0.002458 -0.044951 0.000988
(0.00177) (0.00211) (0.01081) (0.00130)
D(CPI) -0.003069 0.000882 0.020296 0.000232
(0.00061) (0.00073) (0.00374) (0.00045)
D(DQS) 0.180055 -4.539804 20.23901 -2.063607
(1.08027) (1.29357) (6.61479) (0.79464)
D(M2) 0.180205 0.065382 0.539675 -0.107360
(0.05733) (0.06865) (0.35105) (0.04217)
5 Cointegrating Equation(s): Log likelihood -6720.131
Normalized cointegrating coefficients (standard error in parentheses)
DOLLAR OIL I CPI DQS M2
1.000000 0.000000 0.000000 0.000000 0.000000 0.009715
(0.00148)
0.000000 1.000000 0.000000 0.000000 0.000000 -0.008813
(0.00189)
0.000000 0.000000 1.000000 0.000000 0.000000 0.001267
(0.00019)
0.000000 0.000000 0.000000 1.000000 0.000000 -0.022976
(0.00312)
0.000000 0.000000 0.000000 0.000000 1.000000 -0.698003
(0.26266)
Adjustment coefficients (standard error in parentheses)
D(DOLLAR) -0.026248 0.018084 0.017865 0.014542 5.09E-05
(0.00651) (0.00757) (0.03872) (0.00673) (3.7E-05)
D(OIL) -0.007264 -0.077012 0.265114 -0.056353 1.87E-05
(0.01108) (0.01289) (0.06592) (0.01146) (6.3E-05)
D(I) -0.001526 0.002456 -0.044959 0.001011 1.36E-05
(0.00182) (0.00212) (0.01082) (0.00188) (1.0E-05)
D(CPI) -0.002903 0.000918 0.020470 -0.000286 -7.79E-07
(0.00063) (0.00073) (0.00374) (0.00065) (3.6E-06)
D(DQS) -0.263715 -4.635813 19.77358 -0.680771 -0.009155
(1.10919) (1.29070) (6.59941) (1.14679) (0.00627)
D(M2) 0.178442 0.065000 0.537826 -0.101867 0.002209
(0.05905) (0.06872) (0.35136) (0.06106) (0.00033)


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