A Co-authorship network analysis of CNPq’s productivity research fellows in the probability and statistic area

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Metric Value

Number of authors 68 Number of links 107 Total number of articles 953 Articles per author 14.01 Articles in co-authorship 334 Co-authored article per author 4.61 Average degree 3.15

Density 0.047

Average distance 3.39

Diameter 8

Number of components 13 Giant component size 48 2th larger component size 6 Cluster coefficient 0.31 Average Utility 2.18

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AT AC DC CC

PQ31 132 (1A) PQ31 82 (1A) PQ31 13 (1A) PQ31 2.36 (1A)

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BC EG CL UT

PQ31 360.02 (1A) PQ64 1.00 (2) PQ66 1.00 (1B) PQ31 5.41 (1A)

PQ65 250.00 (1D) PQ20 0.88 (1D) PQ49 1.00 (1A) PQ65 4.73 (1D) PQ43 223.42 (1B) PQ31 0.78 (1D) PQ42 1.00 (1A) PQ62 3.97 (1D) PQ40 212398 (1B) PQ65 0.73 (1D) PQ41 1.00 (2) PQ20 3.90 (1D) PQ62 152.66 (1D) PQ26 0.69 (2) PQ27 1.00 (2) PQ64 3.60 (2)

PQ20 149.17 (1D) PQ33 0.68 (1B) PQ9 1.00 (2) PQ55 3.60 (1C) PQ38 115.11 (2) PQ39 0.58 (1A) PQ3 1.00 (2) PQ19 3.54 (1B) PQ59 106.93 (2 PQ52 0.57 (2) PQ44 0.83 (1C) PQ54 3.41 (2)

PQ64 89.49 (2) PQ56 0.55 (2) PQ34 0.83 (2) PQ40 3.40 (1B) PQ19 82.86 (1B) PQ32 0.49 (2) * PQ60 3.27 (1B)

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Scholarship level -2 0 2 4 6 8 10 12 14 D C

Level 2 Level 1

Scholarship level -20 0 20 40 60 80 100 120 140 A T

(a) DC: KW-H(1;68) = 0,173; p = 0,6774 (b) AT: KW-H(1;68) = 8,9253; p = 0,0028

Level 2 Level 1

S cholarship level -1 0 1 2 3 4 5 6 C C

Level 2 Level 1

Scholarship level -1 0 1 2 3 4 5 6 C C

(c) EC: KW-H(1;68) = 1,4952; p = 0,2214 (d) CC: KW-H(1;68) = 2,5195; p = 0,1124

Level 2 Level 1

Scholarship level -1 0 1 2 3 4 5 6 7 8 9 E C

Level 2 Level 1

Scholarship level -0,2 0,0 0,2 0,4 0,6 0,8 1,0 1,2 E G

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(g) CL: KW-H(1;68) = 0,9406; p = 0,3321 (h) UT: KW-H(1;68) = 1,798; p = 0,1800

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DC ₁ _0.56* _0.22 _0.11 _0.85* _0.90* _0.54* _0.61* AT ₁ _-0.06 _-0.21 _0.56* _0.47* _0.13 _0.44*

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BC ₁ _0.77* _0.17 _0.56*

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CL ₁ _0.28*

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Estimation Standard error p-value

Intercept 2.218 0.159 0.000*

DC _0.203 _{0.026 0.000*} CC _-0.122 _{0.05 0.019*}

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