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Table 3 GoF analysis: Comparison between real and simulated networks

From: Tie-formation process within the communities of the Japanese production network: application of an exponential random graph model

Attributes

Community 1

Community 2

Community 3

 

Real

Sim.

Real

Sim.

Real

Sim.

Endogenous attributes:

      

Reciprocity

156.0

136.5

89.0

81.2

74.0

63.4

 

-

(1.89)

-

(1.19)

-

(1.96)

Popularity (k-in-stars)

2068.0

1895.3

2053.0

1978.3

1968.6

1934.1

 

-

(1.89)

-

(1.88)

-

(0.61)

Activity (k-out-stars)

359.0

343.6

527.0

497.3

414.0

381.6

 

-

(1.54)

-

(1.60)

-

(1.63)

k-two-paths

5000.8

4708.7

608.3

591.9

5773.1

5606.3

 

-

(1.64)

-

(0.53)

-

(1.94)

Cyclic closure (AT-C)

228.2

241.1

89.9

85.2

104.1

119.6

 

-

(-0.64)

-

(0.37)

-

(-1.11)

Path closure (AT-T)

4772.6

4467.5

518.4

506.7

5669.0

5486.7

 

-

(1.71)

-

(0.42)

-

(1.97)

Activity closure (AT-U)

4818.3

4547.7

473.5

487.1

5584.6

5473.8

 

-

(1.69)

-

(-0.51)

-

(1.18)

Popularity closure (AT-D)

600.6

737.4

286.2

354.6

579.1

673.7

 

-

(-1.93)

-

(-1.81)

-

(-1.17)

Exogenous attributes:

      

Sector homophily

600.0

651.8

1,073.0

1119.7

322.0

295.8

 

-

(-1.17)

-

(-1.30)

-

(1.19)

Location homophily

849.0

787.2

703.0

688.7

2218.0

2096.7

 

-

(1.67)

-

(0.30)

-

(1.46)

Bank homophily

60.0

53.1

39.0

35.0

84.0

82.2

 

-

(1.68)

-

(1.40)

-

(0.41)

Size heterophily

7.76·108

7.99·108

7.28·106

8.19·106

4.25·107

4.69·107

 

-

(-0.10)

-

(-0.26)

-

(-0.90)

Sales heterophily

2.73·1011

2.65·1011

1.48·1011

1.43·1011

4.41·1012

4.29·1012

 

-

(1.10)

-

(1.78)

-

(1.46)

Sales receiver effect

7.56·109

8.65·109

2.00·109

2.56·109

4.91·1010

5.30·1010

 

-

(-1.59)

-

(-1.30)

-

(-0.83)

Sales sender effect

2.74·1011

2.64·1011

1.48·1011

1.44·1011

4.41·1012

4.33·1012

 

-

(1.37)

-

(1.44)

-

(0.98)

  1. The networks represented here are the three largest communities considered from the second level of the hierarchical structure of the Japanese production network. The sizes of communities 1, 2 and 3 are 2,347, 2,249 and 2,173, respectively. The values given in parentheses represent the GoF ratio calculated as described by Hunter et al. (2008)