Table 3 Tests of panel regression model conditions—Earnings→indicators of R&D potential.

From: Transforming power of research and development on inequality and well-being: a European Union perspective within the circular economy framework

Dependent variables

F-test country (sig)

F-test year (sig)

Robust Hausman (sig)

Breusch-Pagan (sig)

Model

Cluster 1 (independent variable: Earnings)

 R_FTE_Business_enterprise

170.91 (<0.001)

0.62 (0.797)

8.55 (0.003)

0.01 (0.915)

Within

 R_FTE_Government

116.58 (<0.001)

0.07 (1)

0.13 (0.723)

18.43 (<0.001)

Random white

 R_FTE_Higher_education

253.66 (<0.001)

0.4 (0.946)

5.13 (0.024)

0.14 (0.704)

Within

 R_FTE_Private_non_profit

86.61 (<0.001)

0.21 (0.995)

3.12 (0.077)

7.71 (0.005)

Random white

 GERD_Business_enterprise

136.75 (<0.001)

0.18 (0.998)

0.91 (0.34)

1.59 (0.208)

Random

 GERD_Government

169.79 (<0.001)

0.12 (1)

1.51 (0.219)

64.82 (<0.001)

Random white

 GERD_Higher_education

314.25 (<0.001)

0.07 (1)

0.14 (0.704)

1 (0.318)

Random

 GERD_Private_non_profit

82.65 (<0.001)

0.1 (1)

0.36 (0.548)

12.76 (<0.001)

Random white

Cluster 2 (independent variable: Earnings)

 R_FTE_Business_enterprise

118.25 (<0.001)

0.06 (1)

0.3 (0.586)

16.76 (<0.001)

Random white

 R_FTE_Government

95.81 (<0.001)

1.56 (0.127)

40.19 (<0.001)

2.18 (0.14)

Within

 R_FTE_Higher_education

107.78 (<0.001)

0.07 (1)

0.06 (0.801)

6.25 (0.012)

Random

 R_FTE_Private_non_profit

4.82 (<0.001)

0.94 (0.507)

1.89 (0.17)

4.98 (0.026)

Random white

 GERD_Business_enterprise

360.45 (<0.001)

0.03 (1)

0.01 (0.914)

17.82 (<0.001)

Random white

 GERD_Government

30.95 (<0.001)

0.94 (0.501)

8.7 (0.003)

16.55 (<0.001)

Within Arellano

 GERD_Higher_education

354.64 (<0.001)

0.06 (1)

0.2 (0.654)

10.58 (0.001)

Random white

 GERD_Private_non_profit

13.14 (<0.001)

0.45 (0.917)

5.34 (0.021)

21.16 (<0.001)

Within Arellano