Table 5 Tests of panel regression model conditions—the indicators of the R&D potential→Human Development Index.

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

Independent variables

F-test country (sig)

F-test year (sig)

Robust Hausman (sig)

Breusch-Pagan (sig)

Model

Cluster 1 (dependent variable: HDI)

 R_FTE_Business_enterprise

15.45 (<0.001)

1.52 (0.137)

0.02 (0.888)

5.04 (0.025)

Random white

 R_FTE_Government

25.7 (<0.001)

2.27 (0.017)

3.61 (0.058)

5.12 (0.024)

Random white

 R_FTE_Higher_education

19.87 (<0.001)

1.68 (0.091)

0.22 (0.639)

4.45 (0.035)

Random white

 R_FTE_Private_non_profit

22.93 (<0.001)

1.69 (0.09)

2.11 (0.146)

1.85 (0.174)

Random

 GERD_Business_enterprise

7.97 (<0.001)

2.2 (0.021)

1.73 (0.188)

5.51 (0.019)

Random white

 GERD_Government

22.21 (<0.001)

2.13 (0.026)

0.88 (0.349)

5.22 (0.022)

Random white

 GERD_Higher_education

19.36 (<0.001)

1.77 (0.071)

2.58 (0.108)

5.02 (0.025)

Random white

 GERD_Private_non_profit

21.78 (<0.001)

1.6 (0.116)

0.74 (0.391)

1.17 (0.279)

Random

Cluster 2 (dependent variable: HDI)

 R_FTE_Business_enterprise

39.97 (<0.001)

0.91 (0.53)

0 (0.988)

0.54 (0.464)

Random

 R_FTE_Government

47.4 (<0.001)

2.43 (0.011)

11.54 (<0.001)

0.01 (0.929)

Within

 R_FTE_Higher_education

46.96 (<0.001)

1.32 (0.227)

0.21 (0.644)

2.78 (0.096)

Random

 R_FTE_Private_non_profit

60.99 (<0.001)

0.47 (0.9)

0.17 (0.681)

1.8 (0.18)

Random

 GERD_Business_enterprise

40.09 (<0.001)

1.41 (0.184)

4.74 (0.03)

2.88 (0.09)

Within

 GERD_Government

61.07 (<0.001)

1.18 (0.311)

0 (0.993)

0.2 (0.658)

Random

 GERD_Higher_education

26.82 (<0.001)

2.17 (0.023)

1.97 (0.16)

0.03 (0.857)

Random

 GERD_Private_non_profit

71.72 (<0.001)

0.56 (0.844)

0.44 (0.507)

2.88 (0.09)

Random