Johansen tests for co-integration for all variables
| Rank | Parms | LL | Eigenvalue | Statistic | Value |
|---|---|---|---|---|---|
| 0 | 78 | −1,084.03 | 324.5915 | 94.15 | |
| 1 | 89 | −1,007.76 | 0.66364 | 172.0509 | 68.52 |
| 2 | 98 | −976.189 | 0.36301 | 108.9113 | 47.21 |
| 3 | 105 | −955.218 | 0.25888 | 66.9678 | 29.68 |
| 4 | 110 | −935.105 | 0.24973 | 26.7431 | 15.41 |
| 5 | 113 | −927.487 | 0.10313 | 11.5056 | 3.76 |
| 6 | 114 | −921.734 | 0.0789 |
| Rank | Parms | LL | Eigenvalue | Statistic | Value |
|---|---|---|---|---|---|
| 0 | 78 | −1,084.03 | 324.5915 | 94.15 | |
| 1 | 89 | −1,007.76 | 0.66364 | 172.0509 | 68.52 |
| 2 | 98 | −976.189 | 0.36301 | 108.9113 | 47.21 |
| 3 | 105 | −955.218 | 0.25888 | 66.9678 | 29.68 |
| 4 | 110 | −935.105 | 0.24973 | 26.7431 | 15.41 |
| 5 | 113 | −927.487 | 0.10313 | 11.5056 | 3.76 |
| 6 | 114 | −921.734 | 0.0789 |
Notes:
Sample: 2016 week 5 – 2018 week 40 (with the lags 3); *, ** and *** significant at 10%, 5% and 1% levels, respectively; because of ENTVN being non-stationary in significance level 1%, we employ further process for this variable by taking the first difference of ENTVN, which is considered as one typical way to deal with stochastic trends (unit root); this test is used for ENT, NB, D.ENTVN, SU, PERNUM, PERCAP variables; the Johansen test is used with Maximum Likelihood estimator of the parameters of a co-integrating VECM with function as follows . Denoted y is (K x 1) vector of I(1) variables,α and β are (K x r) parameter matrices with rank r < K, Γ1…Γp−1 are (K x K) matrices of parameters and ϵt is a (K x 1) vector of normally distributed errors that is serially uncorrelated (Anderson, 1951) and (Johansen 1998)
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