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. 2023 Jun 20;9(6):e17417. doi: 10.1016/j.heliyon.2023.e17417

Table 2.

Unit root test and order of integration.

Variables At level/first-difference ADF Test
PP Test
With Intercept With Intercept & Trend With Intercept With Intercept & Trend
LM Level
First difference
−2.32
−7.52**
−4.43**
−4.63**
−1.95
−9.47**
−3.84**
−14.96**
LY Level
First difference
6.18
−1.42
1.07
−4.49**
6.18
−3.52**
1.21
−9.51**
LRP Level
First difference
−0.01
−6.19**
3.17
−6.87**
−0.01
−6.19**
−3.26
−6.89**
LR Level
First difference
−1.93
−5.47**
−2.43
−5.38**
−1.93
−5.84**
−2.49
−5.62**
LX Level
First difference
−1.86
−9.77**
−5.09**
−9.82**
−1.96
−14.87**
−5.04**
−33.76**
LFCG Level
First difference
4.18
−3.62**
−0.77
−5.02**
4.36
−3.47**
−0.83
−5.02**
LI Level
First difference
−2.25
−12.34**
−2.01
−11.86**
−2.21
−15.62**
−6.34**
−15.57**

Notes: ADF = Augmented Dickey-Fuller, and PP = Phillips-Perron. L denotes natural logarithm. The *, **, *** denotes significance at 10%, 5%, and 1% levels, respectively. Critical values for the ADF and PP tests are −2.63, −2.98, and −3.71 (with intercept), −3.23, −3.59, and −4.36 (with intercept and trend), which are taken as one-sided p values of MacKinnon (1996).