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The Official Journal of the Pan-Pacific Association of Input-Output Studies (PAPAIOS)

Table 2 Coefficients of the estimated parameters of the functions of active firms in the subsectors of Turkey manufacturing industries in 2006

From: Scale effect in Turkish manufacturing industry: stochastic metafrontier analysis

Parameters

Log-l

γ

σ 2

β 22

β 12

β 11

β 2

β 1

β 0

Capital × capital

Labor force × capital

Labor force × labor force

Capital

Labor force

Food products subsector

 Small firms

−4.80

0.99* (0.0000004)

4.91***

(0.11)

   

0.31***

(0.05)

2.89*

(0.04)

−0.19

(0.48)

 Medium and large firms

−12.50

0.99*

(0.0014)

0.31**

(0.14)

   

0.46*

(0.08)

0.52*

(0.15)

6.93*

(0.75)

 Pooled firms

−24.25

0.99*

(0.000007)

5.73***

(4.19)

   

0.41***

(0.24)

0.66

(0.68)

6.83*

(0.25)

 Metafrontier

      

0.36

0.59

8.07

Wood and paper subsector

 Small firms

−2.09

0.99*

(0.00007)

0.77

(0.97)

   

−0.81***

(0.16)

2.98**

(0.40)

12.14**

(1.42)

 Medium and large firms

3.75

0.99

(0.05)

0.08

(0.33)

   

−0.34

(1.55)

1.04

(1.29)

15.96

(16.99)

 Pooled firms

−7.04

0.99*

(0.0004)

1.73*

(0.50)

   

0.21***

(0.11)

1.31*

(0.23)

5.73*

(0.91

 Metafrontier

      

0.26

1.13

6.05

Textile and leather products subsector

 Small firms

−48.55

0.88*

(0.16)

18.19

(17.28)

−0.095***

(0.058)

−0.22

(0.25)

0.13

(0.41)

3.16*

(1.10)

2.63***

(1.45)

−12.07**

(5.54)

 Medium and large firms

−14.01

0.99***

(0.49)

0.94

(0.99)

0.006*

(0.15)

−0.15

(0.63)

−0.012

(0.77)

1.42**

(0.61)

3.01*

(0.93)

−7.8*

(0.99)

 Pooled firms

−78.33

0.98*

(0.021)

20.23

(4.22)

−0.073

(0.026)

0.14

(0.09)

−0.023

(−0.19)

1.42*

(0.41)

−0.84

(0.84)

4.22

(2.17)

 Metafrontier

   

−0.061

0.073

−0.09

1.47

0.67

0.63

Oil products and its derivatives subsector

 Small firms

−78.56

0.84*

(0.14)

9.90***

(6.94)

0.031

(0.037)

−0.099

(0.24)

−0.22

(0.38)

−0.004*

(0.49)

1.79***

(1.37)

7.77*

(2.82)

 Medium and large firms

−17.43

0.99*

(0.007)

0.39*

(0.075)

0.58*

(0.025)

−0.85*

(0.13)

0.16***

(0.10)

−12.83*

(0.45)

12.26*

(1.12)

75.94*

(0.84)

 Pooled firms

−117.67

0.85*

(0.12)

7.31***

(3.88)

0.047

(0.039)

−0.033

(0.16)

0.31

(0.14)

−0.34

(0.35)

0.54

(0.89)

9.60*

(0.98)

 Metafrontier

   

0.024

−0.074

0.14

0.11

0.85

7.73

Mineral products subsector

 Small firms

−7.17

0.99*

(0.000001)

2.20**

(0.89)

0.27*

(0.025)

0.43**

(0.14)

−1.64*

(0.21)

−6.91*

(0.42)

3.71**

(0.96)

42.89*

(0.98)

 Medium and large firms

−2.51

0.99***

(0.71)

0.21

(0.71)

0.11

(0.12)

−0.06

(0.61)

−0.26

(0.78)

−2.89*

(0.51)

4.56*

(0.94)

22.65*

(0.99)

 Pooled firms

−27.49

0.99* (0.000003)

2.92*

(0.50)

−0.02

(0.04)

0.37***

(0.18)

−0.58*

(0.21)

−1.12*

(0.27)

1.59**

(0.65)

16.67*

(0.94)

 Metafrontier

   

0.11

−0.0006

−0.35

−3.12

4.72

24.00

Basic metal industries subsector

 Small firms

−68.94

0.96*

(0.04)

16.78***

(12.99)

   

0.39*

(0.14)

0.88*

(0.27)

6.39*

(1.27)

 Medium and large firms

−19.42

0.97*

(0.04)

13.64

(13.85)

   

0.14

(0.30)

1.07**

(0.58)

8.86*

(1.99)

 Pooled firms

−88.84

0.96**

(0.03)

15.62***

(9.38)

   

0.36*

(0.11)

0.87*

(0.18)

6.68*

(0.73)

 Metafrontier

         

Machinery and metal equipments and objects subsector

 Small firms

−165.14

0.98*

(0.03)

0.13

(22.50)

   

0.11**

(0.064)

0.81*

(0.17)

8.85*

(0.69)

 Medium and large firms

−17.61

0.85***

(0.50)

0.87

(1.88)

   

0.33**

(0.15)

0.78**

(0.37)

7.39*

(1.12)

 Pooled firms

−192.67

0.97*

(0.024)

11.44***

(7.75)

   

0.18*

(0.056)

1.11*

(0.091)

7.47*

(0.40)

 Metafrontier

      

0.24

0.93

7.89

Furniture and other products subsector

 Small firms

−28.53

0.74

(0.82)

3.01

(9.21)

   

0.46*

(0.18)

0.68**

(0.28)

5.62*

(1.27)

 Medium and large firms

−4.82

0.99*

(0.00001)

85.54*

(1.01)

   

−0.32

(0.59)

0.95

(0.93)

14.60**

(1.00)

 Pooled firms

−37.40

0.68

(0.85)

2.34

(4.76)

   

0.43*

(0.15)

0.66*

(0.23)

5.85*

(1.04)

 Metafrontier

      

0.47

0.73

5.47

  1. The figures in the parentheses are bootstrapped standard deviations
  2. Source: Author calculations
  3. *, ** and *** coefficient significant at 1, 5 and 10 %, respectively