Growth and Technological Leadership in US Industries: A Spatial Econometric Analysis at the State Level, 1963-1997



Table 6: Unconditional Convergence with Spatial Regimes, 1963—1997.

Sectors

Models a

Variables

Total

____________________Mining____________________

Construction

OLS

_____GM-HET_____

OLS

_______GM-HET_______

OLS

_______ML-HET_______

Low

High

Low

High

Low

High

Constant

4 97***

7.58***

2.45

4 37***

7.68***

5.02***

6.00***

9 Q3***

5.12

Log GDP 1963

-0.43***

-0 64***

-0.19

-0.38***

-0 64***

_Q 4Q***

-0.53***

-0.83***

-0.46

Lagged GDP growth

0.25**

Spatial ARb

0.54***

0.49

Convergence ratec

1.67

2.92

0.6

1.37

2.92

1.46

2.16

5.06

1.76

R2 adjusted

0.14

0.23

0.26

AIC

-62.82

31.91

-46.86

-46.6

LIK

33.4

-13.95

25.43

28.3

JBd

5.06

1.88

5

BP

0.05

0.14

0.91

Chow-Waldf

1.91

0.71

3.02

I

Q 42***

Q 24***

0.09

LM-error

16.6***

5.58***

0.81

Robust LM-error

0.64

8.08***

0.11

LM-Iag

16.28***

1.75

1.27

Robust LM-Iag

0.32

4.26***

0.57

LM-SARMA_______

16.92***

c) 34***

1.38

,' Significance at the 1, 5 and 10% level is signaled by ***, ** and *, respectively.

b Spatial Autoregressive parameter of the spatial error model.

c In percentage points per year. The convergence rate equals 100 × (ln(T+l))/-T, where b is the estimated coefficient for the GDP per capita level in 1963, and T the
length of the 1963—1997 time period.

dJarque Bera test for normality of the errors.

e Breusch-Pagan test with random coefficients as the alternative hypothesis.

f Chow-Wald test for stability of coefficients across regimes.

27



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