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. 2010 Dec 31;36(2):1134–1142. doi: 10.1016/j.energy.2010.11.036

Table 3.

Johansen and Juselius co-integration tests.

Variables Null Optimal lag Test statistics
Trace statistics Maximum eigenvalue
LELECSA and LGDPSA#2 r = 0 1 22.95* 19.89*
r ≤ 1 3.06 3.06



LELECSA, LGDPSA and LPOP#2 r = 0 1 28.98 17.61
r ≤ 1 11.36 7.99
r ≤ 2 3.37 3.37



LELECSA, LGDPSA and LTOURSA#2 r = 0 1 36.54* 23.82*
r ≤ 1 12.72 9.03
r ≤ 2 3.69 3.69



LELECSA, LGDPSA, LPOP and LTOURSA#2 r = 0 1 50.90 28.44
r ≤ 1 22.46 11.44
r ≤ 2 11.01 6.18
r ≤ 3 4.83 4.83

Notes: The optimal lag lengths are chosen using Schwartz Information Criteria.

* denotes the rejection of the null hypothesis at the 5 percent significance value.

# denotes the co-integration method used as follows: #1. No intercept or trend in co-integrating equation (CE) or VAR, #2. Intercept (no trend) in CE, no intercept or trend in VAR, #3. Intercept in CE and VAR, no trends in CE and VAR, #4. Intercept in CE and VAR, linear trend in CE, no trend in VAR, and #5. Intercept and quadratic trend in the CE and intercept and linear trend in VAR.