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Do People Who Identify as Popular Become Popular in a New Network? A 9-Month Longitudinal Network Analysis

Christopher J. Carpenter
Christopher J. Carpenter
, 
Xun Zhu
Xun Zhu
 et 
Rachel A. Smith
Rachel A. Smith
   | 11 févr. 2019
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Publié en ligne: 11 févr. 2019
Pages: 1 - 24
DOI: https://doi.org/10.21307/joss-2019-001
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© 2019 Christopher J. Carpenter et al., published by Sciendo
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Figure 1.

The hypothetical sociogram used in the study
The hypothetical sociogram used in the study

Figure 2.

Sociograms of friendship networks at time 1 and 9 Note: Colored dots represent the participants with connector scores above the 75th percentile of the scale (Boster, Kotowski, Andrews, & Serota, 2011)
Sociograms of friendship networks at time 1 and 9 Note: Colored dots represent the participants with connector scores above the 75th percentile of the scale (Boster, Kotowski, Andrews, & Serota, 2011)

Changes in network relationships across nine observational periods

Periods 0 =>0 0 =>1 1 =>0 1 =>1 Jaccard
1 ==>2 4242 20 3 106 0.822
2 ==>3 4226 19 3 123 0.848
3 ==>4 4208 21 3 139 0.853
4 ==>5 4198 13 1 159 0.919
5 ==>6 4187 12 6 166 0.902
6 ==>7 4179 14 9 169 0.88
7 ==>8 4173 15 2 181 0.914
8 ==>9 4172 3 9 187 0.94

Zero-order correlations among the variables (N = 94)

connector sndegree sbet ndeg_int ndeg_slope nbet_int nbet_slope
connector
sndegree .07
sbet .22* .63**
ndeg_int .01 -.10 -.03
ndeg_slope -.03 .10 -.08 -.36**
nbet_int -.03 -.05 -.13 .59** .16
nbet_slope .01 .01 .09 -.40** .31** -.62**

Descriptive statistics across nine observational periods

Observation time 1 2 3 4 5 6 7 8 9
Density 0.025 0.029 0.032 0.037 0.039 0.041 0.042 0.045 0.043
Average degree 2.319 2.681 3.021 3.404 3.66 3.787 3.894 4.17 4.043
Number of ties 109 126 142 160 172 178 183 196 190
Missing fraction 0 0 0 0 0 0 0 0 0

Results of stochastic actor-based models with tests of time heterogeneity

Model 1 Model 2 Model 3
Est. S.E. Est. S.E. Est. S.E.
Rate Parameters
1. Rate parameter period 1 0.74* 0.17 0.74* 0.18 0.80* 0.17
2. Rate parameter period 2 0.69* 0.16 0.72* 0.16 0.68* 0.14
3. Rate parameter period 3 0.76* 0.15 0.76* 0.16 0.74* 0.16
4. Rate parameter period 4 0.41* 0.11 0.41* 0.11 0.42* 0.11
5. Rate parameter period 5 0.52* 0.13 0.54* 0.13 0.50* 0.13
6. Rate parameter period 6 0.65* 0.14 0.62* 0.13 0.65* 0.14
7. Rate parameter period 7 0.47* 0.12 0.49* 0.12 0.45* 0.10
8. Rate parameter period 8 0.33* 0.09 0.33* 0.10 0.31* 0.09
Structural Effects
9. Density -0.85* 0.27 -0.76* 0.26 -0.80* 0.27
10. Triads 0.81* 0.07 0.85* 0.08 0.85* 0.08
11. Popularity (sqrt) -0.10 0.13 -0.17 0.13 -0.15 0.13
Hypothesized Effects
12. Connector Score 0.00 0.06 0.01 0.07
13. S-ndegree 2.07* 0.81 2.21* 0.85
14. S-betweenness -1.30* 0.46 -1.33* 0.47
Time-Varying Effects of Connector Score
Period 2: Connector Score 0.70* 0.24
Period 3: Connector Score 0.19 0.22
Period 4: Connector Score 0.10 0.24
Period 5: Connector Score -0.05 0.23
Period 6: Connector Score -0.12 0.23
Period 7: Connector Score -0.15 0.24
Period 8: Connector Score 0.48 0.28
eISSN:
1529-1227
Langue:
Anglais
Périodicité:
Volume Open
Sujets de la revue:
Social Sciences, other
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