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Table 8 Correlation coefficients between the rank of 102 countries in full 102-country network and reduced 102-country network [part (a)], and correlation coefficients between the rank of 68 countries in reduced 102-country network and the 68-country network [part (b)], based on centrality measures in import sector

From: Quantitative analysis of trade networks: data and robustness

Commodity group CC (in-degree) CC (PageRank) CC (authority)
(a): Correlation coefficients (CC) of Comparing Matrix D in Eq. (5) with \(P=68\) versus Matrix B in Eq. (5) with \(N=102\) and \(P=68\)
0 0.99 1.00 1.00
1 1.00 0.99 1.00
2 1.00 1.00 1.00
3 0.98 0.99 0.99
4 0.97 0.99 0.98
5 1.00 0.99 1.00
6 1.00 1.00 1.00
7 1.00 1.00 1.00
8 1.00 1.00 1.00
9 0.99 1.00 1.00
(b): Correlation coefficients (CC) of Comparing Matrix Matrix B in Eq. (5) with \(N=102\) and \(P=68\) versus Matrix A in Eq. (5) with \(N=102\)
0 1.00 1.00 1.00
1 1.00 0.98 1.00
2 1.00 1.00 1.00
3 1.00 0.99 1.00
4 1.00 0.99 1.00
5 1.00 1.00 1.00
6 1.00 1.00 1.00
7 1.00 1.00 1.00
8 1.00 1.00 1.00
9 1.00 1.00 1.00
  1. The first column lists the 10 commodity groups. The second, third, and fourth columns describe the correlation coefficients for the different pairs of networks mentioned in part (a) and (b), based on in-degree, PageRank, and authority, respectively