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. 2023 Mar 31;18(3):e0281101. doi: 10.1371/journal.pone.0281101

Table 3. Performance of Johansen Cointegration test, TTR/DTR/ITR-to-GDP.

1991 to 2020
H0 H1 Statistic 5% critical value Prob**
I.TTR-GDP
Trace test
 None* 18.0636 20.2618 0.0976
 At most 1* 3.61459 9.16454 0.4725
 γ = 0 γ≧1
Max-eigenvalue test
 None* 14.44902 15.8921 0.0831
 At most 1* 3.61459 9.16454 0.4725
 γ = 0 γ≧1
II.DTR-GDP
Trace test
 None* 24.5416 20.2618 0.0121
 At most 1* 7.6901 9.1645 0.0945
 γ = 0 γ≧1
Max-eigenvalue test
 None* 16.8515 15.8921 0.0353
 At most 1* 7.6901 9.1645 0.0945
 γ = 0 γ≧1
III.ITR-GDP
Trace test
 None* 24.5416 20.2618 0.0121
 At most 1* 7.6901 9.1645 0.0945
 γ = 0 γ≧1
Max-eigenvalue test
 None* 16.8515 15.8921 0.0353
 At most 1* 7.6901 9.1645 0.0945
 γ = 0 γ≧1

Notes: γ denotes number of cointegrating equations; Trace test indicates 1 cointegrating eqn(s) at the 0.05 significance level. Max-eigenvalue test indicates 1 cointegrating eqn(s) at the 0.05 significance level.