Table A1.
Degree distributions of simulated networks were fitted to exponential, log-normal, and Poisson distributions and compared against the fitted power law distribution using Vuong’s test of mis-specified, non-nested hypotheses. Note that each set of model comparisons was conducted for each of the 100 simulated networks per condition or network type. The present table displays the mean and standard deviations of the test statistic and p-values.
| Power Law Vs. Exponential | ||||||
| V-statistic | 2-sided p | 1-sided p | ||||
| Network | M | SD | M | SD | M | SD |
| PATT | 2.387 | 0.614 | 0.046 | 0.080 | 0.023 | 0.040 |
| Inverse PATT | −0.156 | 0.251 | 0.800 | 0.113 | 0.560 | 0.098 |
| Random | 0.420 | 0.359 | 0.682 | 0.222 | 0.347 | 0.120 |
| PATT/Inverse PATT | ||||||
| 200/800 | 1.614 | 0.399 | 0.135 | 0.111 | 0.067 | 0.056 |
| 400/600 | 2.320 | 0.483 | 0.037 | 0.048 | 0.018 | 0.024 |
| 600/400 | 2.597 | 0.578 | 0.025 | 0.041 | 0.012 | 0.021 |
| 200/800 | 2.626 | 0.511 | 0.021 | 0.039 | 0.011 | 0.020 |
| Inverse PATT/PATT | ||||||
| 200/800 | 1.116 | 0.357 | 0.293 | 0.151 | 0.147 | 0.076 |
| 400/600 | 0.593 | 0.288 | 0.570 | 0.176 | 0.285 | 0.088 |
| 600/400 | 0.221 | 0.241 | 0.817 | 0.161 | 0.416 | 0.088 |
| 200/800 | 0.009 | 0.253 | 0.849 | 0.120 | 0.498 | 0.097 |
| Power law vs. Log-normal | ||||||
| V-statistic | 2-sided p | 1-sided p | ||||
| Network | M | SD | M | SD | M | SD |
| PATT | −0.735 | 0.350 | 0.488 | 0.171 | 0.756 | 0.085 |
| Inverse PATT | −0.695 | 0.227 | 0.498 | 0.137 | 0.751 | 0.069 |
| Random | −0.672 | 0.267 | 0.517 | 0.160 | 0.742 | 0.080 |
| PATT/Inverse PATT | ||||||
| 200/800 | −0.777 | 0.201 | 0.446 | 0.091 | 0.777 | 0.045 |
| 400/600 | −0.809 | 0.391 | 0.448 | 0.132 | 0.776 | 0.066 |
| 600/400 | −0.798 | 0.340 | 0.450 | 0.154 | 0.775 | 0.077 |
| 200/800 | −0.774 | 0.354 | 0.465 | 0.138 | 0.768 | 0.069 |
| Inverse PATT/PATT | ||||||
| 200/800 | −0.519 | 0.272 | 0.618 | 0.172 | 0.691 | 0.086 |
| 400/600 | −0.500 | 0.272 | 0.631 | 0.176 | 0.685 | 0.088 |
| 600/400 | −0.514 | 0.260 | 0.620 | 0.167 | 0.690 | 0.084 |
| 200/800 | −0.590 | 0.270 | 0.570 | 0.171 | 0.715 | 0.085 |
| Power law vs. Possion | ||||||
| V-statistic | 2-sided p | 1-sided p | ||||
| Network | M | SD | M | SD | M | SD |
| PATT | 1.860 | 0.066 | 0.063 | 0.009 | 0.032 | 0.005 |
| Inverse PATT | 3.198 | 0.411 | 0.003 | 0.005 | 0.002 | 0.003 |
| Random | 2.453 | 0.151 | 0.015 | 0.006 | 0.008 | 0.003 |
| PATT/Inverse PATT | ||||||
| 200/800 | 3.390 | 0.161 | 0.001 | 0.001 | 0.000 | 0.000 |
| 400/600 | 2.926 | 0.138 | 0.004 | 0.002 | 0.002 | 0.001 |
| 600/400 | 2.554 | 0.118 | 0.011 | 0.003 | 0.006 | 0.002 |
| 200/800 | 2.184 | 0.075 | 0.029 | 0.005 | 0.015 | 0.003 |
| Inverse PATT/PATT | ||||||
| 200/800 | 1.899 | 0.072 | 0.058 | 0.009 | 0.029 | 0.005 |
| 400/600 | 1.967 | 0.084 | 0.050 | 0.009 | 0.025 | 0.005 |
| 600/400 | 2.103 | 0.118 | 0.037 | 0.010 | 0.018 | 0.005 |
| 200/800 | 2.460 | 0.240 | 0.017 | 0.012 | 0.008 | 0.006 |