Table 2 Results of the statistical tests comparing b-values and magnitude distributions for positive and negative Coulomb-stress changes, using different slip models and \(\mu {\prime} =0.4\) (same data as previous table). Columns 2 to 4: testing the null hypothesis that there is no difference between the b-values (i.e., b> = b<). Both asymptotic normality of the z statistic and a permutation test are used for the calculation of the p-value (labeled as pnorm and pperm, respectively). In the latter case the number of permutations is 104, and the uncertainty of pperm corresponds to one standard deviation. Columns 5 to 6: testing the null hypothesis that there is no difference in the distributions, using the 2-sample Kolmogorov-Smirnov test. d2ks and p2ks are the 2-sample Kolmogorov-Smirnov statistic and its p-value. Values of ΔAIC = AIC2 − AIC1 are also included in the last column.
From: No Significant Effect of Coulomb Stress on the Gutenberg-Richter Law after the Landers Earthquake
Slip model | z | pnorm | pperm | d2ks | p2ks | ΔAIC |
---|---|---|---|---|---|---|
wald | 1.396 | 0.163 | 0.156 ± 0.004 | 0.139 | 0.311 | 0.234 |
hernandez | 0.511 | 0.609 | 0.596 ± 0.005 | 0.095 | 0.690 | 1.748 |
bbcal | 0.254 | 0.800 | 0.828 ± 0.004 | 0.063 | 0.952 | 1.936 |
surfrup | − 0.010 | 0.992 | 0.994 ± 0.001 | 0.094 | 0.643 | 1.999 |