Figure 1.
Figure 2.
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 | ||||