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. 2022 Nov 3;17(11):e0275532. doi: 10.1371/journal.pone.0275532

Table 4. Statistical power vs. network autocorrelation.

Statistical power of tests for different values of b with n = 100.

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