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Table 5 Estimation results for the three largest communities considered from the second level of the hierarchical structure of the Japanese production network

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

Endogenous attributes:

Θ MLE

sig.

Θ MLE

sig.

Θ MLE

sig.

Reciprocity

2.50

+

3.52

+

3.31

+

Popularity (k-in-stars)

8.25

+

6.23

+

7.80

+

Activity (k-out-stars)

-1.71

+

-1.69

+

-1.45

+

k-two-paths

0.07

+

0.08

0.07

+

Cyclic closure (AT-C)

-0.06

0.39

+

-0.19

+

Path closure (AT-T)

0.07

+

0.07

0.08

+

Activity closure (AT-U)

0.05

+

-0.17

+

0.05

+

Popularity closure (AT-D)

-0.55

+

-0.87

+

-0.47

+

Exogenous attributes:

Θ MLE

sig.

Θ MLE

sig.

Θ MLE

sig.

Sector homophily

-0.42

+

-0.33

+

0.41

+

Location homophily

0.65

+

1.27

+

0.37

+

Bank homophily

1.88

+

3.26

+

1.92

+

Size heterophily

1.73.10−09

− 4.18.10−08

− 1.56.10−07

+

Sales heterophily

2.58.10−08

+

5.27.10−08

+

1.56.10−09

+

Sales receiver effect

2.81.10−08

+

5.61.10−08

+

1.76.10−09

+

Sales sender effect

− 6.23.10−09

+

− 1.86.10−08

+

− 5.76.10−10

+

  1. The sizes of communities 1, 2 and 3 are 2,347, 2,249 and 2,173, respectively. A parameter is considered significant for a Wald ratio of ≥ 2. Significance is rejected for a Wald ratio of < 2. The entry in the significance column (sig.) is + if the parameter is significant and otherwise