Table 6 Unit root test.

From: Does larger scale enhance carbon efficiency? Assessing the impact of corporate size on manufacturing carbon emission efficiency

Variable

Test method

At level

At 1st difference

t-statistic

Prob.

t-statistic

Prob.

\({\bf{ln}}{\bf{MCEE}}\)

LLC

−2.050**

0.020

−7.041***

0.000

IPS

0.028

0.511

−4.415***

0.000

Fisher-ADF

70.445

0.127

124.556***

0.000

Fisher-PP

64.680

0.255

151.030***

0.000

\({\bf{ln}}{\bf{CS}}\)

LLC

−6.167***

0.000

−4.545***

0.000

IPS

0.785

0.784

−2.150**

0.016

Fisher-ADF

57.232

0.504

102.816***

0.000

Fisher-PP

50.173

0.758

85.296**

0.011

\({\bf{ln}}{\bf{E}}{\bf{E}}\)

LLC

3.486

1.000

−11.118***

0.000

IPS

4.997

1.000

−5.051***

0.000

Fisher-ADF

26.774

1.000

135.071***

0.000

Fisher-PP

31.286

0.998

153.251***

0.000

\({\bf{l}}{\bf{nP}}{\bf{S}}\)

LLC

2.785

0.997

−12.721***

0.000

IPS

4.172

1.000

−6.484***

0.000

Fisher-ADF

34.405

0.994

161.772***

0.000

Fisher-PP

30.818

0.999

182.264***

0.000

\({\bf{ln}}{\bf{M}}{\bf{C}}\)

LLC

−4.570***

0.000

−13.025***

0.000

IPS

−2.607***

0.005

−5.964***

0.000

Fisher-ADF

88.916***

0.006

153.430***

0.000

Fisher-PP

77.471**

0.045

171.996***

0.000

\({\bf{l}}{\bf{nE}}{\bf{R}}\)

LLC

−4.726***

0.000

−8.460***

0.000

IPS

−1.588*

0.056

−5.210***

0.000

Fisher-ADF

71.076

0.116

136.283***

0.000

Fisher-PP

62.364

0.324

127.925***

0.000

\({\bf{l}}{\bf{nR}}{\bf{D}}\)

LLC

−3.734***

0.000

−10.701***

0.000

IPS

0.325

0.627

−4.924***

0.000

Fisher-ADF

66.038

0.219

130.201***

0.000

Fisher-PP

63.488

0.289

138.770***

0.000

\({\bf{l}}{\bf{n}}{\bf{OPEN}}\)

LLC

−9.247***

0.000

−10.647***

0.000

IPS

−3.601***

0.000

−5.196***

0.000

Fisher-ADF

104.674***

0.000

138.137***

0.000

Fisher-PP

133.871***

0.000

137.968***

0.000

  1. Note: *, **, and *** indicate that the significance test has been passed at the 10%, 5%, and 1% levels respectively.