Table 4. Statistical power vs. network autocorrelation.
Statistical Power (n = 100) | |||||||||
---|---|---|---|---|---|---|---|---|---|
Moran’s I | Farber et al. (2015) | Network Ljung-Box Test | |||||||
W 1 | W 2 | W 3 | Expected Similarity | Similarity Entropy | K = 1 | K = 2 | K = 3 | K = 4 | |
b = −1.0 | 0.990 | 0.778 | 0.854 | 0.361 | 0.174 | 0.992 | 0.952 | 0.851 | 0.721 |
b = −0.9 | 0.970 | 0.680 | 0.750 | 0.319 | 0.155 | 0.982 | 0.894 | 0.749 | 0.595 |
b = −0.8 | 0.922 | 0.526 | 0.587 | 0.283 | 0.136 | 0.950 | 0.783 | 0.608 | 0.461 |
b = −0.7 | 0.833 | 0.362 | 0.389 | 0.238 | 0.113 | 0.871 | 0.629 | 0.454 | 0.317 |
b = −0.6 | 0.677 | 0.228 | 0.234 | 0.192 | 0.097 | 0.720 | 0.453 | 0.296 | 0.202 |
b = −0.5 | 0.502 | 0.126 | 0.122 | 0.145 | 0.081 | 0.522 | 0.286 | 0.179 | 0.114 |
b = −0.4 | 0.314 | 0.068 | 0.059 | 0.112 | 0.069 | 0.335 | 0.163 | 0.099 | 0.066 |
b = −0.3 | 0.170 | 0.033 | 0.026 | 0.085 | 0.063 | 0.179 | 0.086 | 0.056 | 0.036 |
b = −0.2 | 0.089 | 0.018 | 0.014 | 0.067 | 0.058 | 0.086 | 0.042 | 0.035 | 0.027 |
b = −0.1 | 0.048 | 0.020 | 0.018 | 0.057 | 0.053 | 0.046 | 0.037 | 0.039 | 0.040 |
b = 0 | 0.044 | 0.044 | 0.045 | 0.051 | 0.056 | 0.047 | 0.053 | 0.061 | 0.068 |
b = 0.1 | 0.092 | 0.093 | 0.094 | 0.058 | 0.060 | 0.100 | 0.100 | 0.114 | 0.118 |
b = 0.2 | 0.176 | 0.162 | 0.156 | 0.080 | 0.069 | 0.197 | 0.187 | 0.197 | 0.205 |
b = 0.3 | 0.301 | 0.244 | 0.242 | 0.116 | 0.090 | 0.333 | 0.333 | 0.308 | 0.313 |
b = 0.4 | 0.437 | 0.345 | 0.337 | 0.169 | 0.119 | 0.477 | 0.443 | 0.440 | 0.438 |
b = 0.5 | 0.579 | 0.449 | 0.437 | 0.233 | 0.151 | 0.615 | 0.578 | 0.558 | 0.555 |
b = 0.6 | 0.702 | 0.546 | 0.530 | 0.316 | 0.186 | 0.739 | 0.700 | 0.679 | 0.665 |
b = 0.7 | 0.801 | 0.634 | 0.617 | 0.400 | 0.228 | 0.828 | 0.803 | 0.780 | 0.768 |
b = 0.8 | 0.874 | 0.708 | 0.693 | 0.486 | 0.277 | 0.893 | 0.877 | 0.858 | 0.849 |
b = 0.9 | 0.923 | 0.775 | 0.759 | 0.565 | 0.326 | 0.939 | 0.927 | 0.910 | 0.905 |
b = 1.0 | 0.954 | 0.827 | 0.812 | 0.643 | 0.364 | 0.962 | 0.960 | 0.947 | 0.941 |